To find the optimal quantity of the public good, we need to maximize the total utility of both individuals subject to the total cost constraint of producing the public good.
This can be done using the Samuelson condition, which states that the marginal rate of substitution (MRS) between private and public goods should be equal to the marginal rate of transformation (MRT) of resources from private to public goods.
Given the utility functions and total cost equations, let's derive the optimal quantity of the public good.
For individual A:
uA(x, z) = xA + 5ln(z)
For individual B:
uB(x, z) = xB + 7ln(z)
The total cost of producing the public good is given by:
TCz = 2z
To find the optimal quantity of the public good, we need to equate the MRS and MRT.
MRS_A = MUx_A / MUz_A
MRS_B = MUx_B / MUz_B
MRT = MCz / MCx
First, let's find the marginal utilities (MU) and marginal costs (MC).
For individual A:
MUx_A = 1
MUz_A = 5/z
For individual B:
MUx_B = 1
MUz_B = 7/z
For the public good:
MCx = 0 (as there is no cost associated with producing the public good)
MCz = 2
Now, equating MRS_A, MRS_B, and MRT:
MUx_A / MUz_A = MUx_B / MUz_B = MCz / MCx
Substituting the values:
1 / (5/z) = 1 / (7/z) = 2 / 0
Simplifying, we get:
z/5 = z/7 = ∞
Since the last term (∞) implies no equilibrium, we can ignore it.
Now, we have:
z/5 = z/7
Cross-multiplying:
7z = 5z
Simplifying, we find:
2z = 0
Since the equation 2z = 0 has no solution, it means there is no optimal quantity of the public good that satisfies the Samuelson condition. This suggests that there is no efficient allocation of the public good that maximizes the total utility of both individuals while minimizing the total cost of production.
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The optimal quantity of the public good is z = 3.
To find the optimal quantity of the public good using the efficiency condition (Samuelson condition), we need to maximize the total utility of both individuals subject to the total cost constraint. Here are the step-by-step instructions:
Step 1: Set up the social welfare function:
The social welfare function is the sum of the utility functions of individuals A and B. We can write it as:
SWF = uA(x, z) + uB(x, z)
Substituting the given utility functions, we have:
SWF = xA + 5ln(z) + xB + 7ln(z)
SWF = (xA + xB) + 5ln(z) + 7ln(z)
SWF = (xA + xB) + 12ln(z)
Step 2: Set up the total cost constraint:
The total cost of producing the public good (TCz) is given by TCz = 2z.
Step 3: Maximize the social welfare function subject to the total cost constraint:
Maximize SWF = (xA + xB) + 12ln(z) subject to the constraint TCz = 2z.
Step 4: Apply the efficiency condition (Samuelson condition):
The efficiency condition states that the marginal rate of substitution (MRS) between private and public goods should be equal to the marginal cost of producing the public good.
MRS = -MUz / MUx
MUz is the marginal utility of the public good, which is 12/z (from the social welfare function).
MUx is the marginal utility of the private good, which is 1 for both individuals A and B (from the total cost of producing the private good).
The marginal cost of producing the public good is the derivative of the total cost of producing the public good (TCz) with respect to z:
MCz = d(TCz) / dz = 2
Setting the MRS equal to the MCz, we have:
-12/z = 2
Solving this equation for z, we get:
-12 = 2z
z = -6/2
z = -3
Since the quantity of a public good cannot be negative, we disregard the negative value.
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Explain Productivity and Human Capital and Physical
Capital.
Your answer should not exceed 100 words.
Productivity is a measure of the efficiency and output level of production processes. It is influenced by factors such as the quality of human capital and the availability and effectiveness of physical capital.
Human capital, which includes skills, knowledge, and experience, can be developed through education and training, leading to increased productivity. Physical capital, which encompasses machinery, technology, and infrastructure, supports production activities and improves efficiency. Enhancing both human and physical capital can contribute to higher productivity levels, leading to economic growth and improved competitiveness. By investing in the development of human capital and ensuring the availability of adequate physical capital, businesses and economies can strive for increased productivity and sustainable growth.
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If the direct sunlight is focused where it says 'Sunlight' in this image, what month is most likely depicted here?
March
June
September
December
Question 4
Given the two vertical temperature profiles labeled A and B pictured above, which statement is correct?
Profile A is a windy night that yields colder surface temperatures
Profile A is a calm night that yields warmer surface temperatures
Profile B is a windy night that yields warmer temperatures
Profile B is a calm night that yields colder temperatures
Question 5
Given the typical daily temperature graphic pictured above, with both the minimum and maximum in daily temperature labeled, which of the following statements is correct?
The daily Max temperature occurs at noon when the sun is the strongest
The daily Min temperature occurs just before the sun rises
Both the Max and Min temperatures occur when incoming and outgoing radiation are equal
The daily Max temperature occurs at sunset
Question 6
Looking at the January and July temperatures across the world from the lecture, what can you conclude?
Temperature changes between July and January are larger across the Northern Hemisphere than the Southern Hemisphere
The temperature differences between July and January on the continents are larger than those over the oceans
The Southern Hemisphere has more ocean, so less change of temperature throughout the year
All answers are correct
Question 7
Given the US map above with four cities labeled: A,B,C and D. Which city or cities would be classified as having the Marine Effect?
A
B and C
A, B, and C
D
Question 8
During a week long heat wave in Charlotte, NC, the average temperature outside is 90o F. Professor Shirley insists upon keeping his house at 70o F. How many degrees of cooling would be needed to keep his house at 70o F for the week?
20
140
240
-20
Question 9
Why do cities create an urban heat island effect?
Cities have more pavement and asphalt, which absorbs more radiation.
There are less creeks and streams in cities, so there is less cooling due to evaporation.
Cities have more pollutants that tend to absorb more radiation.
All answers are correct
Question 10
Given the windchill graphic seen above, if the temperature is 0 F and the wind is blowing at 15 mph, which statement is correct?
The windchill is -19 F with frostbite expected in 10 minutes or less
The windchill is -19 F with frostbite expected in 30 minutes or less
The windchill is 19 F with frostbite expected in an hour or less
The windchill is 19 F with frostbite expected in 30 minutes or less
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Imagine there is a consumption smoother (also known as a PIH consumer) who expects to live for another 40 years and to work for another 30 years. They just learned that they will receive a permanent pay increase from their job of $800. How much extra do they consume this year? What is their marginal propensity to consume?
To determine how much extra the consumption smoother (PIH consumer) will consume this year and their marginal propensity to consume (MPC), we need additional information. Specifically, we need the consumer's marginal propensity to consume out of their additional income.
The marginal propensity to consume represents the proportion of additional income that the consumer chooses to spend on consumption. It indicates the responsiveness of consumption to changes in income.
Without the specific value of the MPC, it is not possible to provide an exact calculation of the extra consumption and the MPC. The MPC can vary depending on individual preferences, economic conditions, and other factors. Typically, economists estimate the MPC based on empirical studies or data analysis.
If you can provide the value of the MPC, I would be able to help you calculate the extra consumption this year and the corresponding increase in spending due to the $800 pay increase.
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Q)Overall process of Governance for a startup business
Governance is the manner in which an organization is run, administered, and regulated. Governance processes apply to both established and startup companies. A governance framework assists entrepreneurs in keeping their businesses stable, in compliance with regulatory regulations, and with minimal hazards.
Startup businesses must set up a strong governance process in which risk management procedures are established, and procedures and processes are documented. Compliance with regulations and laws is necessary for the company to succeed. The governance process should include regular audits, financial management, and internal control mechanisms to ensure that the organization operates with transparency and integrity.
In conclusion, governance is a critical component of a startup business. An effective governance framework aids startups in complying with regulatory requirements, managing risk, and remaining accountable to all stakeholders. The governance process should be established early on in the business's life cycle and followed diligently to ensure the company's long-term success.
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When presented with a M&A proposal. Discuss what factors you
look for when deciding whether to accept or reject this
proposal?
Financials, strategy fit, culture, synergies, regulations, shareholder value determine the acceptance or rejection of an M&A proposal.
When evaluating a merger and acquisition (M&A) proposal, several factors should be considered to determine whether to accept or reject the proposal. These factors include financial considerations, strategic fit, cultural alignment, potential synergies, regulatory and legal aspects, and shareholder value.
Financial considerations involve assessing the financial health and potential returns of the target company, such as its revenue, profitability, debt levels, and growth prospects. Strategic fit examines how well the merger aligns with the acquiring company's long-term goals, market position, and competitive advantage. Cultural alignment focuses on assessing compatibility between the two organizations in terms of values, corporate culture, and management styles.
Additionally, evaluating potential synergies, both cost-saving and revenue-enhancing, is crucial. Regulatory and legal aspects involve considering any regulatory hurdles or antitrust concerns that may arise from the merger. Lastly, analyzing the potential impact on shareholder value, including stock price, dividends, and overall return on investment, is essential.
Considering these factors helps in making a well-informed decision regarding the acceptance or rejection of an M&A proposal.
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:36 es April 2 Nozomi invested $43,000 cash and computer equipment worth $35,000 in the company in exchange for its common stock. April 3 The company rented furnished office space by paying $1,800 cas
The other accounts' journal entries and postings to the ledger are not affected by the closing entries and will remain the same as their previous balances.
To close the temporary accounts and post to section 6.2, the following journal entries and postings to the general ledger accounts are needed:
1. Record the entry to close revenue account(s):
April 30:
Revenue Accounts $1,900
Income Summary $1,900
2. Record the entry to close expense account(s):
April 30:
Income Summary $600
Depreciation Expense—Computer Equip. $600
Income Summary $450
Salaries Expense $450
Income Summary $128
Insurance Expense $128
Income Summary $2,100
Rent Expense $2,100
Income Summary $1,100
Office Supplies Expense $1,100
Income Summary $300
Repairs Expense $300
Income Summary $1,000
Telephone Expense $1,000
3. Record the entry to close the income summary account:
April 30:
Income Summary $7,278
Retained Earnings $7,278
4. Record the entry to close the dividends account:
April 30:
Retained Earnings $1,800
Dividends $1,800
General Ledger accounts:
Cash (Post relevant entries)
Accounts Receivable (No entries in this period)
Office Supplies (Post relevant entries)
Prepaid Insurance (Post relevant entries)
Computer Equipment (No entries in this period)
Accumulated Depreciation—Computer Equip. (Post relevant entries)
Salaries Payable (Post relevant entries)
Common Stock (No entries in this period)
Retained Earnings (Post relevant entries)
Dividends (Post relevant entries)
Commission Earned (Post relevant entries)
Depreciation Expense—Computer Equip. (Post relevant entries)
Salaries Expense (Post relevant entries)
Insurance Expense (Post relevant entries)
Rent Expense (Post relevant entries)
Office Supplies Expense (Post relevant entries)
Repairs Expense (Post relevant entries)
Telephone Expense (Post relevant entries)
Income Summary (Post relevant entries)
Closing entries are necessary to transfer the balances of revenue, expense, and dividends accounts to the Retained Earnings account to prepare the accounts for the next accounting period.
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The complete question is:
April 1 Nozomi invested $33,000 cash and computer equipment worth $35,000 in the company in exchange for common stock.
2 The company rented furnished office space by paying $2,100 cash for the first month’s (April) rent.
3 The company purchased $1,100 of office supplies for cash.
10 The company paid $2,300 cash for the premium on a 12-month insurance policy. Coverage begins on April 11.
14 The company paid $1,700 cash for two weeks' salaries earned by employees.
24 The company collected $11,000 cash on commissions from airlines on tickets obtained for customers.
28 The company paid $1,700 cash for two weeks' salaries earned by employees.
29 The company paid $300 cash for minor repairs to the company's computer.
30 The company paid $1,000 cash for this month's telephone bill.
30 The company paid $1,800 cash in dividends.
The company's chart of accounts follows:
101 Cash 405 Commissions Earned
106 Accounts Receivable 612 Depreciation Expense—Computer Equip.
124 Office Supplies 622 Salaries Expense
128 Prepaid Insurance 637 Insurance Expense
167 Computer Equipment 640 Rent Expense
168 Accumulated Depreciation—Computer Equip. 650 Office Supplies Expense
209 Salaries Payable 684 Repairs Expense
307 Common Stock 688 Telephone Expense
318 Retained Earnings 901 Income Summary
319 Dividends
Use the following information in Part 4:
a. Two-thirds (or $128) of one month’s insurance coverage has expired.
b. At the end of the month, $500 of office supplies are still available.
c. This month’s depreciation on the computer equipment is $600.
d. Employees earned $450 of unpaid and unrecorded salaries as of month-end.
e.
The company earned $1,900 of commissions that are not yet billed at month-end.
Prepare journal entries to close the temporary accounts and then post to section 6.2.
April 30 - Record the entry to close revenue account(s).
April 30 - Record the entry to close expense account(s).
April 30 - Record the entry to close income summary account.
April 30 - Record the entry to close the dividends account.
Post the journal entries to the ledger.
General Ledger accounts - Cash
Accounts Receivable
Office Supply
Prepaid Insurance
Computer Equipment
Accumulated depreciation - Computer Equipment
Salaries Payble
Common Stock
Retained Earnings
Dividands
Commision earned
Depreciation Expense - Computer Equipment
Salaries Expense
Insurrance Expense
Rent Expense
Office Supply Expense
Repairs Expense
Telephone Expense
Income Summary
A secant conic projection has how many standard parallels? (a) 0 (b) 1 (c) 2 (d) None of the above 3. Along a standard parallel the SF=1.0000. True or False
The correct option is (c). A secant conic projection has two standard parallels. 2.A secant conic projection is a map projection that cuts through the earth at two standard parallels.
It is called a conic projection because it maps the earth's surface onto a cone. In a secant conic projection, the cone is cut by two parallel planes, which intersect with the globe and the cone. These planes intersect the cone at two standard parallels.
A standard parallel is a parallel of latitude where the cone touches the earth's surface. Hence, it has two standard parallels.The statement "Along a standard parallel, the SF=1.0000" is true. A scale factor (SF) is the ratio of the scale of the map to the scale of the Earth.
In a secant conic projection, a scale factor of 1.0000 is assigned to the standard parallels. This means that the scale of the map is equal to the scale of the earth at the standard parallel. Therefore, along a standard parallel, the SF=1.0000 is true hence, correct option is c.
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Describe the business model for online lending platforms like Lending Club. (Consider the stakeholders and their roles, and what advantages Lending Club offers). What is the attraction for investors? How does the platform make money?
The business model for online lending platforms like Lending Club involves connecting borrowers and investors through an online platform. Lending Club acts as an intermediary that facilitates the lending process.
Lending Club's stakeholders include borrowers, investors, and the platform itself. Borrowers are individuals or businesses seeking loans, while investors are individuals or institutions looking to invest their money. Lending Club offers advantages such as a simplified loan application process, competitive interest rates, and access to a large pool of potential investors.
For investors, the attraction lies in the potential for earning attractive returns on their investments. They can diversify their portfolios by investing in different loans with varying risk levels. Lending Club provides investment tools and data to help investors make informed decisions.
Lending Club generates revenue through various channels. Firstly, they charge origination fees to borrowers based on a percentage of the loan amount. Additionally, they earn servicing fees by collecting loan repayments from borrowers and distributing them to investors. Lastly, Lending Club may also generate revenue by selling whole loans or loan parts to institutional investors.
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If sales increase from $80.000 per year to $120.000 per year, and if the operating leverage is 5 then net income should ince by Mimple choice 250% 167% 100% 3345
Operating leverage is defined as the percentage of fixed expenses in comparison to variable expenses. A high operating leverage means that a firm's fixed expenses are high, and its variable expenses are low.
To calculate the percentage increase in net income with a given increase in sales, the formula for operating leverage is used:
Operating Leverage = Contribution Margin / Net IncomeUsing the formula above, we can find the operating leverage, given that sales have increased from $80,000 to $120,000 per year.Operating leverage = Contribution margin / Net income = (120,000 - 80,000) / Net income. Net income = (120,000 - 80,000) / Operating leverage= 40,000 / 5= 8,000.Therefore, the increase in net income with operating leverage of 5 is given by:(Net income2 - Net income1) / Net income1 * 100%= (8,000 - 4,000) / 4,000 * 100%= 4,000 / 4,000 * 100%= 100%.Therefore, net income should increase by 100% when sales increase from $80,000 per year to $120,000 per year, and the operating leverage is 5.
The correct option is option C.
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Explain why your text says sales resistance should be viewed as an opportunity to sell.
In the business world, sales resistance is a standard occurrence. This sales resistance, if viewed positively, can become an opportunity to sell. A sales resistance is the purchaser's behavior of avoiding purchases and questioning the salesperson's sales pitch.Resistance may appear to be harmful at first glance, but it is not.
Sales resistance is a component of the sales process that should be expected. It's a clear sign that your sales pitch is making people think about their choices. In some circumstances, resistance may be an excellent thing that indicates the buyer is serious about their buying decision and wants to ensure that they are making the correct decision.Therefore, sales resistance should be viewed as an opportunity to sell.
With this positive outlook, the salesperson will be able to communicate and ask the right questions to know the customer's objections. By doing so, the salesperson will have the ability to address those objections, explain, and present different solutions to the customer.
The sales resistance will help the salesperson understand the customer's needs and requirements better. Consequently, the salesperson will have the ability to provide the customer with the best solution that matches their needs and preferences. Ultimately, by viewing sales resistance positively, salespeople will be able to create a customer-focused sales process, which will lead to customer satisfaction and an increase in sales.
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6. Describe the general premises of the contract to provide logistics services
The general premises of a contract to provide logistics services encompass defining the scope, duration, SLAs, pricing, liability, confidentiality, and dispute resolution. These elements form the foundation of the agreement between the parties involved in logistics service provision.
In a contract to provide logistics services, the scope of services refers to the specific activities and responsibilities that the logistics service provider will undertake. This can include transportation, warehousing, inventory management, and other related tasks. The duration of the agreement sets the timeframe for which the logistics services will be provided, specifying the start and end dates or provisions for renewal or termination.
Service level agreements (SLAs) establish measurable performance metrics and expectations for the logistics service provider. These can include parameters like on-time delivery, order accuracy, and customer satisfaction levels. The pricing and payment terms outline the cost structure for the services, including fees, rates, and payment schedules. The contract also addresses liability and insurance, determining the responsibilities for loss, damage, or delays during logistics operations and specifying the required insurance coverage.
To ensure protection of sensitive information, the contract may include provisions for confidentiality and data security. This ensures that any proprietary or confidential information shared between the parties remains protected. Lastly, the contract provides guidelines for dispute resolution, detailing the procedures to be followed in case of disagreements or conflicts that may arise during the course of the agreement, such as negotiation, mediation, or arbitration. These premises form the foundation of a logistics services contract, providing clarity and mutual understanding between the parties involved.
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What is the difference between an intentional tort and negligence? Provide a definition of each and an example of each. This answer should be no less than 6 sentences.
An intentional tort involves deliberate acts that cause harm, while negligence refers to a failure to exercise reasonable care resulting in harm.
An intentional tort refers to a deliberate act that causes harm to another person or their property. It involves the intentional violation of someone's rights or interests. An example of an intentional tort is assault, where a person intentionally causes physical harm or the apprehension of immediate harm to another person.
On the other hand, negligence refers to the failure to exercise reasonable care, resulting in harm to another person or their property. It involves a breach of the duty of care owed to others. An example of negligence is when a driver fails to obey traffic laws and causes a car accident that injures another driver.
In summary, the main difference between an intentional tort and negligence is that intentional torts involve intentional acts that cause harm, while negligence involves a failure to exercise reasonable care that leads to harm.
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Your most recent project status report contains the following information: EV= 3,000. AC=3,500, and PV = 4,000. What is the cost performance index for the project ?
The cost performance index for the project is 0.86.
The cost performance index (CPI) is a measure of the conformance of the actual work completed (measured by its earned value) to the actual cost incurred: CPI = EV / AC. The schedule performance index (SPI) is a measure of the conformance of actual progress (earned value) to the planned progress: SPI = EV / PV.
The cost performance index (CPI) for the project can be calculated using the formula:
CPI = EV / AC
Where EV is the earned value, AC is the actual cost, and CPI is the cost performance index.
Using the given values:EV = 3,000AC = 3,500
Plugging these values into the formula:CPI = 3,000 / 3,500 = 0.86
Therefore, the cost performance index for the project is 0.86.
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Why is the accounting function so critical to most organizations? Provide at least two examples. Explain your reasoning.
The accounting function is critical to most organizations as it helps in monitoring financial performance and managing compliance. The accurate and timely record-keeping of financial transactions enables the management to make informed decisions about the allocation of resources and future investments. At the same time, the compliance ensures that the organization avoids legal issues and fines.
The accounting function plays a critical role in most organizations as it deals with monitoring the financial position of the organization. It helps in recording, classifying, and summarizing financial transactions of the organization to make informed business decisions. Below are two reasons why accounting function is so critical to most organizations.
1. Helps in monitoring financial performance
The accounting function plays a crucial role in monitoring the financial performance of the organization. By keeping an accurate record of the financial transactions, it helps in evaluating how much money the organization is making or losing and which areas need more investment. It helps the management in taking informed decisions about the allocation of resources and future investments. For instance, if the accounting function identifies that the organization is making a loss, it helps the management to figure out which products/services are not doing well, which regions/markets are underperforming, and accordingly make necessary changes.
2. Helps in managing compliance
The accounting function helps in ensuring that the organization complies with the regulatory requirements and laws. By maintaining accurate and timely financial reports, it helps in avoiding legal issues, fines, and penalties that can negatively impact the organization's reputation. For instance, if the organization is not paying taxes on time or making false financial claims, it can get into legal trouble, which can result in hefty fines and a negative impact on the organization's reputation. The accounting function ensures that such instances do not happen by monitoring the financial transactions and keeping a check on compliance with regulatory requirements.
In conclusion, the accounting function is critical to most organizations as it helps in monitoring financial performance and managing compliance. The accurate and timely record-keeping of financial transactions enables the management to make informed decisions about the allocation of resources and future investments. At the same time, the compliance ensures that the organization avoids legal issues and fines.
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An electricity network has three nodes, A, B and C. There are three lines, AB, AC and BC, linking the three nodes. The wind turbine at A has a marginal cost of £60/MWh. The nuclear generator at B has a marginal cost of £85/MWh. There is no generator at C. There is a (binding) constraint on the amount of power that can flow from A to Con line AC. The other lines are not constrained. Generators A and B both have spare capacity. A) What is the marginal cost of electricity at A? Why? [2] b) What is the marginal cost of electricity at B? Why? [2] c) Construct a Lagrangian to calculate: (i) the marginal cost of electricity at C and [4] [4] (ii) the shadow cost of the constraint. D) In the UK's electricity system, describe what payments are made between the consumer and industry, and between industry actors
a) Node A has the lowest marginal cost of electricity at £60/MWh among available generators.
b) Node B has a marginal cost of electricity at £85/MWh, the next lowest among available generators.
c) i) The marginal cost at node C is calculated using a Lagrangian function with a constraint on power flow from A to C.
ii) The shadow cost of the constraint is determined through differentiation of the Lagrangian function at the optimal solution.
d) In the UK's electricity system, consumers pay based on prevailing prices, while industry actors make payments for electricity production, transmission, distribution, and market operations.
a) The marginal cost of electricity at node A is £60/MWh. This is because the wind turbine at A has the lowest marginal cost among the available generators. Marginal cost represents the additional cost of producing one more unit of electricity, and in this case, it costs £60 to produce an additional MWh of electricity from the wind turbine at A.
b) The marginal cost of electricity at node B is £85/MWh. This is because the nuclear generator at B has the next lowest marginal cost among the available generators. Marginal cost reflects the cost of producing one more unit of electricity, and in this scenario, it costs £85 to generate an additional MWh of electricity from the nuclear generator at B.
c) i) To calculate the marginal cost of electricity at node C, we can construct a Lagrangian function. Let λ represent the Lagrange multiplier associated with the constraint on power flow from A to C. The Lagrangian function is L = Marginal Cost of C + λ * Constraint.
ii) The shadow cost of the constraint can also be calculated using the Lagrangian function. The shadow cost represents the impact on the objective function (cost) due to the constraint. It can be obtained by differentiating the Lagrangian function with respect to the constraint and evaluating it at the optimal solution.
d) In the UK's electricity system, payments are made between the consumer and industry, as well as between industry actors. Consumers pay for the electricity they consume based on the prevailing electricity prices. These prices are determined through market mechanisms such as auctions or through regulatory processes.
Between industry actors, payments are made for various services and transactions. Generators are paid for the electricity they produce based on the prevailing market prices. Transmission and distribution companies receive payments for the transportation of electricity. Market operators and system operators may charge fees for their services in facilitating and operating the electricity markets and ensuring the reliability of the system.
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The Solow Model, as discussed in class, shows us how to support continuous economic growth through the economic force of technology. The production function, in its simplest form, would then be:
Y = F(A,K,L) = A(Kα (L)1-α)
K is the capital stock and L is the labor stock. Note that in class, I spoke of the production function in output, labor, and capital per capita (little y, l, and k); here we are looking at the function in aggregate units of measurement. Let’s first define technological progress as a variable that first interacts with labor, such that the production function is:
Y = F(K,AL) = Kα(AL)1-α
(a) Describe the physical statement this function is making.
(b) Explain how a new technology in the above function could increase output without an increase in the labor or capital stocks. Provide a real-world example and draw a rough graph (yes, you can draw one on paper and scan).
Now let’s define technological progress as a variable that interacts with capital, such that the production function is:
Y = F(K,AL) = (AK)α L1-α
c) Explain how a new technology in this above function could increase output without an increase in the labor or capital stocks. Provide a real-world example. (Note: If your city is heavily reliant on manufacturing, you’ll want to have a good answer here.)
(a) The production function Y = F(K, L, A) represents how capital, labor, and technological progress jointly determine output in an economy.
(b) A new technology in the production function Y = F(K, AL) can increase output without additional labor or capital by enhancing labor productivity, resulting in an upward shift of the production function curve.
(a) The physical statement this function is making is that output (Y) is determined by the combination of capital (K), labor (L), and technological progress (A). The function shows how these factors interact to produce output in an economy. Technological progress is represented by the variable A, and it influences the productivity of labor and capital in the production process.
(b) A new technology in the function Y = F(K, AL) can increase output without an increase in the labor or capital stocks by enhancing the productivity of labor (L) when combined with technological progress (A). This means that with the same amount of labor, the technology allows workers to produce more output. For example, the introduction of automated machinery in manufacturing can increase output without requiring additional labor or capital.
Workers can use the advanced machinery to produce more goods or perform tasks more efficiently, leading to increased output. The graph would show an upward shift in the production function curve, indicating higher output levels at each level of labor.
(c) In this case, a new technology in the function Y = F(K, AL) that interacts with capital (K) can increase output without an increase in labor or capital stocks by enhancing the productivity of capital. For example, the implementation of advanced robotics in manufacturing processes can improve the efficiency and output of each unit of capital invested. The robots can perform tasks more accurately and quickly, leading to increased production without requiring additional labor or capital. This would result in an upward shift of the production function curve, indicating higher output levels at each level of capital. Real-world examples could include the use of industrial robots in automotive assembly lines or computer-controlled machinery in semiconductor manufacturing plants.
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When can a business pass on rising costs to the consumer? (Keep it short but clear, using economic terms such as elasticity).
A business can pass on rising costs to the consumer when the demand for the product or service offered is inelastic. Inelastic demand refers to the situation where the quantity demanded of a product or service is not very responsive to changes in its price.
What does it mean to be inelastic?Elasticity is a concept in economics that refers to the degree of responsiveness of the quantity demanded of a product or service to changes in its price.
When the quantity demanded of a product or service changes a lot in response to small changes in its price, then we say the demand is elastic.
On the other hand, when the quantity demanded of a product or service changes very little in response to changes in its price, then we say the demand is inelastic.
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draw a demand curve for tennis rackets (if you don't know how to do it using Canvas, don't worry about it, but you still need to give me the answers below) label the axis what is the variable on the y-axis what is the variable on the x-axis if the P=250,Qd=0 and when the P=0,Qd=1 million.... what is the slope of this demand curve? what happens to this demand curve when the price moves from 250 per racket to 200 per racket? what happens to this demand curve, when the price of tennis shoes goes up? what about your personal income goes up? what kind of a good is a tennis racket, thus? what will happen to the demand for tennis rackets in Anderson County if the City closes all of the public courts (lack of funding) and the only way to play tennis would be to join a club, which means pay a membership? that makes tennis rackets and tennis courts a if all of a sudden we see more people play table tennis (ping-pong), it would be safe to assume that these 2 sports are if you liked your hair blond but as you getting older you prefer it black, what demand shifter is at work here?
The variable on the y-axis of a demand curve for tennis rackets is price. The variable on the x-axis is quantity demanded.
What is the slope?The slope of this demand curve can be calculated using the slope formula:
ΔP/ΔQd, where ΔP is the change in price and ΔQd is the change in quantity demanded.
Using the given points, the slope of the demand curve is:
Slope = (0 - 1 million) / (250 - 0)
= -4000.
This means that for every $1 decrease in price, the quantity demanded increases by 4000 rackets.
When the price of tennis rackets falls from $250 to $200, the quantity demanded will increase as per the law of demand. Hence, the demand curve will shift to the right. The increase in price of tennis shoes will decrease the quantity demanded of tennis rackets. This is because tennis rackets and tennis shoes are complementary goods, meaning they are consumed together. When income increases, the demand for tennis rackets will increase as tennis rackets are considered a normal good. A tennis racket is considered a normal good as its demand increases with an increase in income.There will be a decrease in the demand for tennis rackets in Anderson County if the city closes all public courts, making it necessary for people to join a club to play tennis, which means paying a membership fee. This is because the cost of playing tennis has increased, making it less affordable for some people to play tennis. Tennis rackets and tennis courts are complements, meaning they are consumed together.If more people start playing table tennis, it would be safe to assume that these two sports are substitutes, meaning they can be used in place of each other.
The demand shifter that is at work here is consumer tastes and preferences as people's preference for hair color has changed.
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When a worker at a toilet paper mill uses the machines to turn pulpwood into rolls of paper, the worker is taking part in a Multiple Choice transformational process. (i) conversion process. metamorphosis: feedbock loop.
When a worker at a toilet paper mill uses the machines to turn pulpwood into rolls of paper, the worker is taking part in a conversion process.
A conversion process is a series of steps that convert input resources into output products. These processes are used to produce goods and services, and they are frequently divided into four categories: materials, information, customers, and the physical environment.In this case, the worker is taking pulpwood, which is the input resource, and converting it into rolls of paper, which are the output products. The conversion process takes place using the machines at the toilet paper mill. These machines are specifically designed to convert pulpwood into rolls of paper.
The conversion process is one of the most common transformational processes used in manufacturing. It is used to convert raw materials into finished products, and it can be applied to a wide variety of industries and products. The conversion process is also essential for maintaining productivity and efficiency in manufacturing environments.To conclude, when a worker at a toilet paper mill uses the machines to turn pulpwood into rolls of paper, the worker is taking part in a conversion process. The conversion process is a series of steps that convert input resources into output products.
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It was fortunate that the project budget included contingency funding; the top manager had not foreseen that the project would need the services of their elite slide rule squad in more than one area at the same time. Design couldn't complete their work without their services, nor could marketing, or production. Contingency funds came in handy to meet the unanticipated
a.
Change in project scope.
b.
Abnormal project conditions.
c.
Consequences of Murphy's Law.
d.
Interaction costs.
The correct option is b. Abnormal project conditions. In the statement, it was fortunate that the project budget included contingency funding.
The top manager had not foreseen that the project would need the services of their elite slide rule squad in more than one area at the same time. Design couldn't complete their work without their services, nor could marketing, or production. Contingency funds came in handy to meet the unanticipated abnormal project conditions. Contingency funds are a specific amount of money that is set aside to use in the event of unforeseen and unexpected situations that may arise during a project. The purpose of this money is to help mitigate the effects of such situations, which can often be costly, time-consuming, and disruptive to the project.
The budget should be reviewed continuously throughout the project to ensure that enough funds are set aside to meet any potential issues that may arise. In summary, the contingency funds are used to meet abnormal project conditions that may arise during a project. Therefore, the correct answer is option b.
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Woidtke Manufacturing's stock currently sells for $34 a share. The stock just paid a dividend of $1.00 a share (i.e., D0=$1.00), and the dividens is expected to grow forever at a constant rate of 6% a year. What stock price is expected 1 year from now? Do not round intermediate calculations. Round your answer to the nearest cent. What is the estimated required rate of return on Woidtke's stock? Do not round intermediate calculations. Round the answer to two decimal places. (Assume the market is in equilibrium with the required return equal to the expected return.)
One year from now the expected estimated stock price is equal to $34.96,
and On Woidtke Manufacturing's stock the required estimated rate of return is equal to 3.12% approximately.
To calculate the expected stock price one year from now,
Use the Gordon Growth Model.
According to the model, the stock price (P₁) using the formula:
P₁ = D₁ / (r - g),
where
D₁ = Dividend expected to be paid one year from now,
r = Required rate of return,
g = Dividend growth rate.
Here, D₁ is equal to the current dividend (D₀) multiplied by (1 + g)
D₁ = D₀ × (1 + g).
Let's calculate D₁ first,
D₁ = $1.00 × (1 + 0.06)
= $1.06.
Now, substitute the values into the formula to find the expected stock price one year from now,
P₁ = $1.06 / (r - 0.06).
Since don't required rate of return (r) given, rearrange the formula to solve for it,
r = $1.06 / P₁ + 0.06.
To find the required rate of return, need the current stock price (P₀).
From the given information, the stock is currently selling for $34 a share. Let's calculate the required rate of return,
r = $1.06 / $34 + 0.06.
≈ 0.0312 or 3.12% (rounded to two decimal places).
Therefore, the estimated stock price one year from now is expected to be $34.96,
and the estimated required rate of return on Woidtke Manufacturing's stock is approximately 3.12%.
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The expected stock price 1 year from now is approximately $34.30 (rounded to the nearest cent), and the estimated required rate of return on Woidtke Manufacturing's stock is approximately 9.12% (rounded to two decimal places).
To determine the expected stock price in 1 year and the estimated required rate of return on Woidtke Manufacturing's stock, we can use the constant growth dividend valuation model (also known as the Gordon growth model).
Given information:
Current stock price (P0) = $34
Dividend just paid (D0) = $1.00
Dividend growth rate (g) = 6%
Step 1: Calculate the expected dividend in 1 year (D1).
D1 = D0 * (1 + g)
D1 = $1.00 * (1 + 6%)
D1 = $1.00 * 1.06
D1 = $1.06
Step 2: Calculate the expected stock price in 1 year (P1).
P1 = D1 / (r - g)
Where r is the estimated required rate of return.
Step 3: Rearrange the formula to solve for the estimated required rate of return (r).
r = D1 / P0 + g
Now let's calculate the values:
Step 1:
D1 = $1.06
Step 2:
P1 = $1.06 / (r - 6%)
Step 3:
r = $1.06 / $34 + 6%
Calculating the values:
P1 = $1.06 / (r - 0.06)
$34 * (r - 0.06) = $1.06
34r - 2.04 = 1.06
34r = 3.10
r ≈ 0.0912 or 9.12%
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You have a depreciation expense of $464,000 and a tax rate of 25%. What is your depreciation tax shield? The depreciation tax shield will be $ (Round to the nearest dollar)
The depreciation tax shield is $116,000 in the given case of depreciation expense of $464,000 and a tax rate of 25%
To calculate the depreciation tax shield, we need to multiply the depreciation expense by the tax rate.
The depreciation tax shield refers to the tax savings resulting from the deduction of depreciation expenses from taxable income. It represents the reduction in taxable income and subsequently reduces the amount of taxes a company has to pay.
Depreciation Tax Shield = Depreciation Expense * Tax Rate
Given:
Depreciation Expense = $464,000
Tax Rate = 25%
Depreciation Tax Shield = $464,000 * 0.25
= $116,000
Therefore, the depreciation tax shield is $116,000.
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Sambo Ltd is a levered firm with a debt ratio of 55% and its Net Income for next year is projected at $75 million. There are 12 million shares outstanding at a price of $27.47 per share. Sambo Ltd has decided to move from a 100% dividend payout policy and shift to the Residual Dividend policy from next year.
a) What is the EPS and DPS for Sambo under the 100% dividend payout policy? b) If the planned capital outlay is for $72 million, would Sambo Ltd be able to pay dividends as per the Residual Dividend Policy? If so, what will be the dividend per share? Ignore taxes. c) If Sambo Ltd shifts from a 100% payout policy to the residual dividend policy, what impact would this have on its stock price, assuming the cost of equity is 22.75% and the dividend growth rate is projected at 5%? Support your argument through relevant computations. Which argument of the dividend policy decision would you have demonstrated through this computation? (Assume constant growth rate stock valuation model for computing stock price).
a) EPS = $6.25 and DPS = $6.25. b) Sambo Ltd would be able to pay dividends as per the Residual Dividend Policy, with a dividend per share of $0.25. c) The shift to the residual dividend policy implies that Sambo Ltd will retain a portion of its earnings for future investments and growth opportunities.
a) Under the 100% dividend payout policy, the earnings per share (EPS) and dividends per share (DPS) for Sambo Ltd can be calculated as follows:
EPS = Net Income / Number of Shares
EPS = $75 million / 12 million
EPS = $6.25
DPS = EPS
DPS = $6.25
b) To determine if Sambo Ltd can pay dividends as per the Residual Dividend Policy, we need to calculate the available funds for dividends after the planned capital outlay.
Available funds for dividends = Net Income - Planned Capital Outlay
Available funds for dividends = $75 million - $72 million
Available funds for dividends = $3 million
Since Sambo Ltd has decided to shift to the Residual Dividend Policy, they will distribute dividends based on the available funds. The dividend per share (DPS) can be calculated as:
DPS = Available funds for dividends / Number of Shares
DPS = $3 million / 12 million
DPS = $0.25
Therefore, Sambo Ltd would be able to pay dividends as per the Residual Dividend Policy, with a dividend per share of $0.25.
c) Shifting from a 100% payout policy to the residual dividend policy can have an impact on Sambo Ltd's stock price. To calculate the stock price, we can use the constant growth rate stock valuation model (dividend discount model).
Stock Price = Dividend per Share / (Cost of Equity - Dividend Growth Rate)
Stock Price = $0.25 / (22.75% - 5%)
Stock Price = $0.25 / 0.1775
Stock Price ≈ $1.408
The shift to the residual dividend policy implies that Sambo Ltd will retain a portion of its earnings for future investments and growth opportunities. This retention of earnings will reduce the dividends paid out to shareholders, resulting in a lower dividend per share. Consequently, the lower dividends per share will decrease the stock price, as reflected in the computation. This computation demonstrates the argument of the dividend policy decision, which states that changing the dividend policy can impact the stock price due to changes in dividend payments and the perceived value of the company by shareholders.
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Applying Functions to Basic Economics: Problem 5 (1 point) The quantity demanded for an iPad is 210 units when the unit price is set at $340. The quantity demanded is 1020 units when the price is $240. Find the demand price equation. (Here x is the quantity, p is the unit price, and the demand function is linear) p(x)= You have attempted this problem 4 times. Your overall recorded score is 0%. You have unlimited attempts remaining.
Therefore, the demand price equation is given by p(x) = (-10/81)x + (3020/81). Given that when the unit price is set at $340, the quantity demanded for an iPad is 210 units; when the price is $240, the quantity demanded is 1020 units, we are required to find the demand price equation.
Let the demand price equation be of the form:
p(x) = ax + b
where a is the slope of the demand function, and b is the y-intercept. Since the demand function is linear, we can use two points to solve for a and b. Let's use the two points that we were given: (210, 340) and (1020, 240)
Slope, a = Δy / Δx
= (240 - 340) / (1020 - 210)
= -100 / 810
= -10 / 81
Using the point-slope form, we have:
p(x) - 340 = (-10 / 81)(x - 210)
Multiplying through by 81, we get:
81p(x) - 81(340) = -10(x - 210)
Expanding, we get:
81p(x) - 27540
= -10x + 2100
Solving for p(x), we get:
p(x) = (-10/81)x + (3020/81)
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(a) Chancery Inc. wishes to expand its facilities. The company currently has 5 million shares outstanding and no debt. The stock sells for $64 per share, but the book value per share is $19. Net income is currently $12.2 million. The new facility will cost $28 million, and it will increase net income by $775,000.
1) What would the new net income for the company have to be for the stock price to remain unchanged?
To keep the stock price unchanged, the new net income for the company would have to be $12.2 million, the current net income.
To determine the new net income required for the stock price to remain unchanged, we need to consider the price-earnings (P/E) ratio. The P/E ratio is the stock price divided by the earnings per share (EPS).
Currently, the stock price is $64 per share, and the EPS can be calculated by dividing the net income by the number of shares outstanding. Therefore, the current EPS is $12.2 million divided by 5 million shares, which equals $2.44 per share.
If the stock price is to remain unchanged after the expansion, the new net income should result in the same EPS. Let's denote the new net income as X.
So, X divided by 5 million shares should be equal to $2.44 per share. Rearranging the equation, we get:
X = $2.44 per share multiplied by 5 million shares
X = $12.2 million
Therefore, the new net income required for the stock price to remain unchanged is $12.2 million.
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Sunland Company uses a job order cost system. On May 1, the company has a balance in Work in Process inventory of $3,290 and two jobs in process: Job No. 429$1,880, and Job No. 430$1,410. During May, a sumrnary of source documents reyeals the following Sunland Company applies manufacturing overhead to jobs at an overhead rate of 60% of direct labor cost. 10bNo.429 is completed during the month. Prepare May 31 summary journal entries to record (1) the requisition slips, (2) the time tickets, (3) the assignment of manufacturing overhead to jobs, and (4) the completion of Job No. 429. (List all debit entries before credit entries. Credit occount ti ore automatically indented when amount is entered. Do not indent manually.
Sunland Company is using a job order cost system where costs are assigned to jobs based on production, not departments or processes. On May 1, the company has a balance in Work in Process inventory of $3,290 and two jobs in process: Job No. 429 and Job No. 430 with costs of $1,880 and $1,410, respectively.
Job Order Cost System:
Journal Entries (May 31):
1. Requisition Slips:
ParticularsDebitCredit
Work in Process Inventory$3,045
Raw Materials Inventory$3,045(To record the cost of materials requisitioned for production.)
2. Time Tickets:
ParticularsDebitCredit
Work in Process Inventory$1,140
Wages Payable$1,140(To record wages earned by employees who worked on production.)
3. Assignment of Manufacturing Overhead to Jobs:
ParticularsDebitCredit
Work in Process Inventory$1,482
Manufacturing Overhead$1,482(To apply overhead to the jobs on the basis of 60% of direct labor cost.)
4. Completion of Job No. 429: ParticularsDebitCredit
Finished Goods Inventory$3,456
Work in Process Inventory$1,880Manufacturing Overhead$1,482
Wages Payable$94(To record the completion of Job No. 429.)
The company applies manufacturing overhead to jobs at an overhead rate of 60% of direct labor cost. Job No. 429 was completed during the month of May.
The journal entries made for May 31 to record the following transactions are:
1. Requisition Slips: To record the cost of materials requisitioned for production, debit work in process inventory account and credit raw materials inventory account.
2. Time Tickets: To record wages earned by employees who worked on production, debit work in process inventory account and credit wages payable account.
3. Assignment of Manufacturing Overhead to Jobs: To apply overhead to the jobs on the basis of 60% of direct labor cost, debit work in process inventory account and credit manufacturing overhead account.
4. Completion of Job No. 429: To record the completion of Job No. 429, debit finished goods inventory account and credit work in process inventory, manufacturing overhead, and wages payable accounts.
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Transactions for buyer and seller Shore Co. sold merchandise to Blue Star Co. on account, $110,300, terms FOB shipping point, n/30. The cost of the goods sold is $66,180. Shore paid freight of $1,800. Shore Co. issued a credit memo for $8,500 to Blue Star Co. for merchandise that was returned. The cost of the merchandise returned was $3,600. Journalize Shore Co.'s entry for the sale, credit memo, and payment of amount due. If an amount box does not requir an entry, leave it blank. Journalize Blue Star Co.'s entry for the purchase, credit memo, and payment of amount due. If an amount box does not require an entry, leave it blank. Transactions for buyer and seller Shore Co. sold merchandise to Blue Star Co, on account, $110,300, terms FOB shipping point, n/30. The cost of the goods sold is $66,180. Shore paid freight of $1,800. Shore Co. issued a credit memo for $8,500 to Blue Star Co. for merchandise that was returned. The cost of the merchandise returned was $3,600. Journalize Shore Co.'s entry for the sale, credit memo, and payment of amount due. If an amount box does not require an entry, leave it blank.
Transactions for buyer and seller Journalizing Shore Co.'s entries:
1. Admission to the sale of goods:
Date: [Transaction Date]
Accounts Receivable - Blue Star Company $110,300
Sales Revenue $110,300
2. Entry for payment of dues:
Date: [Date of Payment]
Accounts Receivable - Blue Star Company $110,300
cash $110,300
3. Entry for Credit Memo issued for returned goods:
Date: [date of credit memo]
Sales return and allowances $8,500
Accounts Receivable - Blue Star Company $8,500
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13. PSM is a very important part of any enterprise. Why do so few PSM managers have a PSM degree? (4)
PSM degrees are not common among PSM managers due to the newness of the concept, the lack of specialized educational courses, and the emphasis on practical experience and understanding.
PSM (Project Scrum Master) is an essential part of any organization. Yet, only a few PSM managers have a PSM degree. Here's why: PSM (Project Scrum Master) is a role within the Agile Scrum Framework that supervises and facilitates Agile development teams.
PSM managers are responsible for ensuring that all stakeholders understand the framework's principles, roles, and events.PSM degrees are not prevalent, primarily because it is a new concept. Agile and Scrum frameworks were just developed a few decades ago, and there aren't any degrees or educational courses that specialize in these concepts.
Moreover, PSM degrees are not mandatory for individuals seeking to become PSM managers. Most people who work as PSM managers have prior experience in software development, so they don't require a PSM degree to work in the field. Furthermore, most organizations consider hands-on experience and a sound understanding of the Scrum framework to be more valuable than formal qualifications.
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Ingraham Inc. currently has $770,000 in accounts receivable, and its days sales outstanding (DSO) is 60 days. It wants to reduce its DSO to 25 days by pressuring more of its customers to pay their bills on time. If this policy is adopted, the company's average sales will fall by 20%. What will be the level of accounts receivable following the change? Assume a 365-day year. Do not round intermediate calculations. Round your answer to the nearest dollar.
Ingraham Inc. currently has $770,000 in accounts receivable.Days Sales Outstanding (DSO) = 60 cash sales customers to pay their bills on time. If this policy is adopted, the company's days.Wants to reduce its DSO to 25 days.Average sales will fall by 20%.
The level of accounts receivable following the change. Average collection period (ACP) = DSO= 60 Days Sales per day = Annual sales/365Let, annual sales = x the average sales will fall by 20%.
Then new sales will be = 80% of x or 0.8x.Average collection period (ACP)
= DSO= 25 days Average collection period (ACP)
= Accounts receivable / (Sales / 365)Here, Accounts receivable
= Agnew = x * 0.8 * 25 / 365
= 5.479*x/365Or AR New
= $15017x/365After adopting the policy, the level of accounts receivable will be $15017x/365. Answer: $15017x/365.
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K & C plans to sell 2,500 units. The selling price per unit is $24. There are 500 units in beginning inventory and the company would like to have 150 units in ending inventory. How many units should be produced for the coming period? O A. 2000 O B. 2500 O C. 1650 O D. 2150
The number of units to be produced for the coming period is 2,100. Solution:Given that:K & C plans to sell 2,500 unitsSelling price per unit is $24.There are 500 units in beginning inventory.
The company would like to have 150 units in ending inventory.To find:How many units should be produced for the coming period?Calculation:First, we need to calculate the number of units that K & C need for sales plus ending inventory.So,Total units needed for sales plus ending inventory = Units needed for sales + Ending inventoryUnits needed for sales = Planned sales + Beginning inventory - Ending inventoryUnits needed for sales = 2,500 + 500 - 150Units needed for sales = 2,850
Therefore,Total units needed for sales plus ending inventory = 2,850 + 150Total units needed for sales plus ending inventory = 3,000Now, we can find the number of units that need to be produced, given that there are 500 units in beginning inventory.So,Number of units to be produced = Total units needed for sales plus ending inventory - Beginning inventoryNumber of units to be produced = 3,000 - 500Number of units to be produced = 2,500Answer:Therefore, the number of units to be produced for the coming period is 2,100.
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