MAD Corp. has 20-year bonds with an 8% coupon rate and a 10% yield to maturity. What would be MAD's appropriate after-tax cost of debt if their tax rate is 40%? a. 8.0% b. 4.8% c. 6.0% d. 10.0%

Answers

Answer 1

Answer:

After-tax cost of deb = 6%

Explanation:

The cost of debt is the required rate of return payable to investors in the debt instruments of a company. These investors include providers of long term debt finance to the company.

The cost of debt finance can determined by working out the yield to maturity on debt with adjustment for tax.

It is noteworthy that debt finance affords the company  a tax savings advantage because interest expense incurred on the use of debt of are tax deductible expense.

After-tax cost of debt = (1- Tax rate) × before-tax cost of debt

Before tax cost of debt = 10%

Tax rate = 40%

After-tax cost of debt = (1-0.4) × 10% = 6%

After-tax cost of deb = 6%


Related Questions

What is the first step of the process of creating a new product?

A. Idea generation

B. Idea screening

C. Focus group testing

D. Business analysis

Answers

Answer:   A. Idea generation

Explanation:

The beginning fo creating a great product is to generate fantastic ideas.

Idea generation includes the stage of constructing through the idea, innovating the concept, developing the process, and the main thing is bringing the concept to reality.

Behind any product, the idea of creating it is the necessary step to show it in reality, without it a person cannot create a plan to construct a product.

Hence, the first step of the process of creating a new product is A. Idea generation .

Rest other 3 steps are after this.

Answer:

idea generation

Explanation:

For a recent year, McDonald's Company-owned restaurants had the following sales and expenses (in millions):

Sales $28,600
Food and packaging $9,710
Payroll 7,200
Occupancy (rent, depreciation, etc.) 6,630
General, selling, and administrative expenses 4,200
$27,740
Income from operations $860

Assume that the variable costs consist of food and packaging, payroll, and 40% of the general, selling, and administrative expenses.

a. What is McDonald's contribution margin? Round to the nearest tenth of a million (one decimal place)
b. What is McDonald's contribution margin ratio? Round to one decimal place.
c. How much would income from operation increase if the same-store sales increased by $900 million for the coming year, with NO change in the contribution margin ratio or fixed costs? Round your answer to the nearest tenth of a million (one decimal place)

Answers

Answer:

a. What is McDonald's contribution margin?

contribution margin = total sales - total variable costs = $28,600 - [$9,710 + $7,200 + (0.4 x $4,200)] = $10,010

b. What is McDonald's contribution margin ratio?

contribution margin ratio = contribution margin / total sales = $10,010 / $28,600 = 0.35 ≈ 0.4

c. How much would income from operation increase if the same-store sales increased by $900 million for the coming year, with NO change in the contribution margin ratio or fixed costs?

increase in total contribution margin = $900 x 0.35 = $315

Income from operations will increase by $315 million

When calculating a project’s net present value, which type of cash flows should be considered? Question 2 options: A) Free cash flows B) Net operating profit cash flows C) Operating cash flows D) External cash flows E) Alternative cash flows

Answers

Answer:

Operating cash flows

Explanation:

Net present value is the present value of after tax cash flows from an investment less the amount invested.

NPV is a capital budgeting method used to determine profitable investments

"An investor buys $10,000 of a "regulated" mutual fund investing solely in municipal securities. Which statement is TRUE regarding the Federal tax treatment of the interest income?"

Answers

Answer: D. The investor has no tax liability on distributions received, and the investment company has no tax liability on retained income

Explanation:

Municipal Securities are exempt of Federal taxes and this is what makes them most attractive. An investor in a mutual fund which invests solely in municipal securities will therefore not have any tax liability because their returns would be based on securities that are federally tax exempt. The same goes for any income the Mutual fund intends to retain.

The decision to accept an additional volume of business should be based on a comparison of the revenue from the additional business with the sunk costs of producing that revenue.
a) true
b) false

Answers

Answer:

false

Explanation:

Sunk cost is cost that has already been incurred and cannot be recovered. it should not be considered when making future decisions

WinterDreams operates a Rocky Mountain ski resort. The company is planning its lift ticket pricing for the coming ski season. Investors would like to earn a 16 % return on the​ company's $ 115 million of assets. The company incurs primarily fixed costs to groom the runs and operate the lifts. WinterDreams projects fixed costs to be $ 35 comma 600 comma 000 for the ski season. The resort serves 800 comma 000 skiers and snowboarders each season. Variable costs are $ 8 per guest.​ Currently, the resort has such a favorable reputation among skiers and snowboarders that it has some control over the lift ticket prices.

Required:
a. Would Mountain Point emphasize target pricing or cost-plus pricing? Why?
b. If other resorts in the area charge $66 per day, what price should Mount Snow charge?

Answers

Answer:

a. Would Mountain Point emphasize target pricing or cost-plus pricing? Why?

They emphasize cost plus pricing because the investors are seeking a desired rate of return on their investment and they do it by adding the desired profit margin to their costs.

b. If other resorts in the area charge $66 per day, what price should Mount Snow charge?

$75.50 in order for them to generate the required ROI. Since the resort has a very good reputation, it can charge a higher price than its competitors.

Explanation:

company's assets = $115,000,000

expected return on investment = 16%

fixed costs = $35,600,000

number of customers = 800,000

variable costs = $8 per customer x 800,000 = $6,400,000

total costs = $42,000,000

total cost per client = $42,000,000 / 800,000 = $52.50

desired profit = $115,000,000 x 16% = $18,400,000

desired profit per client = $18,400,000 / 800,000 = $23

price per ticket = $75.50

"Which of the following statements are TRUE regarding the rights agent? I The rights agent usually handles the mechanics of a rights offering II The rights agent is usually the existing transfer agent of the issuer III The rights agent issues the additional shares upon presentation of the rights certificates with payment"

Answers

Answer:

I, II, and III

I The rights agent usually handles the mechanics of a rights offering

II The rights agent is usually the existing transfer agent of the issuer

III The rights agent issues the additional shares upon presentation of the rights certificates with payment

Explanation:

Aright is defined as an offering to existing shareholders to purchase more shares. Usually there is a proportion of original shares the shareholder can now purchase. For example 1 to 5 shares means the shareholder can buy one share for every 5 old shares owned.

A rights agent is a person or entity that is responsible for maintaining records on behalf of rights holders.

When rights are issued, a rights agent is handles sales to shareholders, he is usually the initial transfer agent for the issuing company, and he issues the additional shares when payment and rights certificates are presented.

Estes Park, Inc., has declared a dividend of $6.70 per share. Suppose capital gains are not taxed, but dividends are taxed at 30 percent. New IRS regulations require that taxes be withheld at the time the dividend is paid. The company's stock sells for $118 per share, and the stock is about to go ex-dividend. What do you think the ex-dividend price will be

Answers

Answer:

$113.31

Explanation:

Estees park has declared a dividend of $6.70 per share

The dividend is taxed at 30%

= 30/100

= 0.3

The company stock sells for $118 per share

The first step is to calculate the after tax dividend

After tax dividend= 6.70(1-0.3)

= 6.70×0.7

= $4.69

Therefore, the ex-dividend price can be calculated as follows

Ex-dividend price= $118-$4.69

= $113.31

Hence the ex-dividend price is $113.31

You are thinking of building a new machine that will sve you 2,000 in the first year the machine will then begin to wear out so that the savings decline at a rate of 4% per year forever. What is the present value of the savings if the interest rate is 5% per year? (Hint: this is a growing perpetuity.)

Answers

Answer:

The present value of the savings is $22222.22

Explanation:

A perpetuity is an indefinite series of equal payments made after equal intervals of time and for an unlimited period. A growing perpetuity is a kind of perpetuity whose period payments are not equal and they grow(or decline) at a constant rate each period for an indefinite period of time.

The formula for the present value of a growing perpetuity is attached.

The present value of the savings can be calculated as follows,

Present value = 2000 / (0.05 - (-0.04)

Present value = 2000 / (0.05 + 0.04)

Present value = 2000 / 0.09

Present value = $22222.22

Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.07 cm thick to a hemispherical dome with a diameter of 30 meters.

Answers

Answer:

dv= 989100cm^3

Explanation:

The volume of a sphere can be calculated using below formula

Volume of a sphere = 4/3 π r^3

Therefore, for a hemisphere, V= 2/3 pi r^3

V=(4/3)πr³

V= 2/3πr³

dV/dr=4πr²

Then we need to pproximate dV/dr with

ΔV/Δr then we have

Volume of hemispherical some is one half of the the volume of a sphere where dr is change in radius, dv is change in volume

dV/dr=2πr²

Take the derivative of V with respect to r then we have

dV=2πr²dr

where

Radius = diameter/2

Our diameter is 30cm then

r=30m/2 = 15cm

Then we convert to cm we have

r= 1500cm

dv= 2×π ×(1500)^2 × 0.07

dv= 989100cm^3

the amount of paint in cubic centimeters needed to apply a coat of paint 0.07 cm thick to a hemispherical dome with a diameter of 30 meters is

989100cm^3

Using a linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.07 cm thick to a hemispherical dome with a diameter of 30 meters will be: 989,601.69 cubic centimeters

Volume of a sphere = 4/3 πr^3

Hemisphere:

V= 2/3 πr^3  

dV = 2πr^2 dr

Where:

dr=0.07cm

r=(1/2)×30m=1500cm

Let plug in the formula

dV = 2×π×(1500^2)×(.07)

dV=989,601.69 cubic centimeters

Inconclusion using a linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.07 cm thick to a hemispherical dome with a diameter of 30 meters will be: 989,601.69 cubic centimeters

Learn more here:

https://brainly.com/question/15395123

You are interested in purchasing a new automobile that costs $ 38 comma 000. The dealership offers you a special financing rate of 12 % APR ​(1​%) per month for 48 months. Assuming that you do not make a down payment on the auto and you take the​ dealer's financing​ deal, then your monthly car payments would be closest​ to:

Answers

Answer:

$1,000.69

Explanation:

For computing the monthly car payment we need to apply the PMT formula i.e to be shown in the attachment below

Provided that

Present value = $38,000

Future value or Face value = $0

NPER = 48 months

RATE = 1%

The formula is shown below:  

= PMT(RATE;NPER;-PV;FV;type)  

The present value come in negative  

So, after applying the above formula, the monthly car payment is $1,000.69

Talk to your mentor, family members, or relatives between the ages of 25-30 and who are employed to see what their budgets look like. Develop a sample budget for someone aged 25 to 30 years old

Answers

Answer:

Household budget for someone aged 25 to 30 is given below.

Explanation:

Income $1,200

Particulars       Budget Amount    Actual Expense    Difference

House Rent            $300                               $300             0

Utility Bills               $85                                 $93              -8

Groceries                $195                                $175             20

Clothing expense   $50                                 $78              -28

Entertainment         $20                                  $55             -35

Laundry                   $5                                    $6                 -1

Study material        $10                                   $25              -15

Chris Spear invested $16,700 today in a fund that earns 10% compounded annually. To what amount will the investment grow in 2 years? To what amount would the investment grow in 2 years if the fund earns 10% annual interest compounded semiannually?
a. Investment at 10% annual interest?
b. Investment at 10% annual interest, compounded semiannually?

Answers

Answer:

Results are below.

Explanation:

Giving the following information:

Chris Spear invested $16,700 today in a fund that earns 10% compounded annually.

To calculate the future value of the investment, we need to use the following formula:

FV= PV*(1+i)^n

a. Interest rate= 10% compounded annually.

FV= 16,700*(1.10^2)

FV= $20,207

b. Interest rate= 0.1/2= 0.05

n= 2*2= 4

FV= 16,700*(1.05^4)

FV= $20,298.95

One basic factor for success with DynamoDB. select one​

Answers

Answer:

how can I select one of there isn't any options.

4. (10 points). Prezas Company's balance sheet showed total current assets of $4,250, all of which were required in operations. Its current liabilities consisted of $975 of accounts payable, $600 of 6% short-term notes payable to the bank, and $250 of accrued wages and taxes. What was its net operating working capital

Answers

Answer: $3,025

Explanation:

The Net Working Capital is used to find out if the company is able to use its current assets to cater for it's Current Liabilities and as such is calculated by subtracting Current Assets from Current Liabilities.

= Current Assets - Current Liabilities

Current Liabilities = 975 + 250

= $1,225

The interest bearing funds are not included when Calculating Net Working Cap.

Net Working Capital = 4,250 - 1,225

= $3,025

Which of the following business combinations is a vertical integration? A. The corner gas station buys the competitor across the street and shuts them down to increase its own market share. B. The corner gas station and the competitor across the street agree to set their prices at the same level. C. The corner gas station acquires the gasoline distributor to ensure they can get gas in times of shortages. D. The corner gas station starts selling fireworks during December/January and June/July.

Answers

Answer:

  C. The corner gas station acquires the gasoline distributor to ensure they can get gas in times of shortages.

Explanation:

Vertical integration is the situation where the same company owns both the sources of supply and the distribution (retail) outlets. The description of (C) matches this definition.

Conduct online research on the taxes your state levies and compare them with federal tax rates.

Answers

Answer:

In new York federal tax rate is 22% and state tax rate is 6.21%

Explanation:

In New York there are four tax brackets staring from 3.078% on taxable income of $12,000 per annum.  Many states have income taxes but their rules may vary significantly. Federal taxes are progressive which mean higher rate of tax is applied on higher incomes. Some states may also have progressive income tax policies. There may also be a flat rate for everyone which means every individual has to pay same level of tax rate irrespective of their income.

Answer: in Illinois it’s 15% for Levies rather than 4.95% for federal tax rates.

Explanation:

You short 200 contracts of a call option on Stock XYZ. The contract multiplier is 100, i.e. each contract is on 100 shares of the stock.
In addition, you hold the following positions as of the end of previous trading day: 15,559 shares of the underlying stock; and $809,608 in debt.
The XYZ stock price is $51 right now. The risk-free interest rate is 4% per year. There are 252 trading days in a year.
Using the Black-Scholes model, you establish that the total delta of your option position is
-13,495
You adjust your hedge to bring your shareholding to match the new option delta. Which of the following is correct for your DEBT account, after you make the necessary adjustments?
a. $809,608 - (15,559 – 13,495)*51 = 704,344
b. $809,608e(0.04*1/252) + (15,559 – 13,495)*51 = 915,000
c. $809,608e(0.04*1/252) – (15,559 – 13,495)*51 = 703,932
d. $809,608 + (15,559 – 13,495)*51 = 914,872

Answers

Answer:

c. $809,608e(0.01*1/252) - (15,559 - 13,495) *51 = 703,932

Explanation:

Black Scholes Model is a mathematical model for pricing a contract of an option. It is best suited for dynamic financial market. The model determines the price of an option contract after incorporating the effects of volatility. In the given scenario there are 200 contracts of a call option. The trading days are 252 in the year and risk free interest rate is 4% prevailing in the market.

1. Name several business etiquette guidelines that promote positive workplace conversations, in the office and at work-related social functions.
2. How can you ensure that your telephone calls on the job are productive? Name at least six suggestions.
3. List at least three guidelines that courteous cell phone users follow to avoid offending others.

Answers

Answer:

Please see explanations below

Explanation:

1.

• Ignore or avoid negative remarks when interacting with people either at work or anywhere.

• Give sincere and specific praise to people when they surpass your expectation.

• Always use correct names and titles when addressing people.

• Always choose appropriate topics when sending mails or when communicating.

• Recognize people for good work

• listen to learn in order to be better

2.

• Be smart, cheerful and accurate at all times

• One has to be professional and courteous at all times

• Avoid small or irrelevant talk that can waste too many time hence causes delay in hitting the point of making the call

• Always end the call with a tactful cue without the receiver being offended

• Summarize the points of the call in order to be sure everyone is satisfied with the discussion.

• Plan an agenda to handle calls in-order to know what one has to discuss

3.

• When in a face to face conversation, be sure you pay utmost attention or avoid having divided attention

• One should learn how to lower his or her voice when making calls openly

• Receiving calls when you are already engaged in a face to face conversation is disrespectful hence should not be imbibed.

Which of the following provisions, if included in a mandatory arbitration agreement, would not likely render it unenforceable?
A. A provision that the employee pay the costs of the arbitrator’s services.
B. A provision that gives the employer the right to choose any arbitrator.
C. A provision that requires the employee to prove his case.
D. All of the above.

Answers

Answer:

C. a provision that requires the employee to prove his case.

Explanation:

Arbitration is a form of resolving dispute outside of the court system. Here, the parties involved agrees to have their dispute settled through a third party other than a judge. Mandatory arbitration is a provision that is included in a contract , which requires concerned parties to resolve their contract dispute before an arbitrator instead of the normal court system.

In a situation where one of the parties to a contractual agreement feels cheated or the other party has not performed his term of the agreement, such may seek redress through an arbitrator. For a mandatory arbitration to be enforceable, there must be a provision that the employee pay the cost of the arbitrator's service and also a provision that the employer has the right to choose any arbitrator.

Flapjack Corporation had 7,600 actual direct labor hours at an actual rate of $12.41 per hour. Original production had been budgeted for 1,100 units, but only 950 units were actually produced. Labor standards were 7.0 hours per completed unit at a standard rate of $13.00 per hour. The direct labor time variance is

Answers

Answer:

-$12,350 Unfavorable

Explanation:

The computation of direct labor variance is shown below:

Labor time variance = (Standard hours - Actual hours) × standard rate

= (950 × 7.0 - 7,600) × $13

= (6,650 - 7,600) × $13

= -950 × $13

= -$12,350 Unfavorable

Therefore for computing the direct labor variance we simply applied the above formula by considering the given information

B&B has a new baby powder ready to market. If the firm goes directly to the market with the product, there is only a 60 percent chance of success. However, the firm can conduct customer segment research, which will take a year and cost $1.14 million. By going through research, the company will be able to better target potential customers and will increase the probability of success to 75 percent. If successful, the baby powder will bring a present value profit (at time of initial selling) of $19.1 million. If unsuccessful, the present value payoff is only $6.1 million. The appropriate discount rate is 14 percent.

Required:
Calculate the NPV for the firm if it conducts customer segment research and if it goes to market immediately.

Answers

Answer:

NPV = $13.9m

NPV = $11.05m (if conducts customer segment research)

Explanation:

DATA

Successfull probability = 60%

Unsuccessful probability = 40%

Initial selling = $19.1m

Unsuccessful present value  = $6.1 m

Research cost = $1.14m

Discount rate = 14%

Solution ( NPV If the firm goes to market immediately)

NPV = (Successful probability x initial selling) + (Unsuccessful probability x Unsuccessful present value)

NPV = (60% x $19.1m) + ( 40% x $6.1 m)

NPV = $11.46m + $2.44m

NPV = $13.9m

Solution (NPV if the firm conducts customer segment research)

NPV = ((Successful probability x initial selling) + (Unsuccessful probability x Unsuccessful present value)/1+discount rate ) - research cost

NPV = [tex]\frac{13.9m}{1+0.14} - 1.14[/tex]

NPV = $12.19m - $1.14m

NPV = $11.05m

Note: We can calculate NPV if the firm conducts customer segment research by dividing NPV calculated above by (1+discount rate) and research cost is deducted from the whole.

Fern Corporation manufacturers a single product that has a selling price of $25.00 per unit. Fixed expenses total $50,000 per year, and the company must sell 5,000 units to break even. If the company has a target profit of $15,500, sales in units must be:

Answers

Answer:

Sales unit to achieve target profit =6,550 units

Explanation:

Break-even point is the level of activity that achieves no profit or loss. At this level profit is zero because the the total revenue is equal to total cost.

The break-even point is calculated as  

Break -even in units = total general fixed cost/(selling price - variable cost)

ley represent tah variable cost per unit with letter "y"

5,000 = 50,000 / (25 - y)

cross multiply

5000× (25 - y) = 50,000

125000  - 5000 y = 50,000

collect like terms

125,000 - 50,000 = 5000 y

75000  = 5,000y

divide both sides by 5,000

y = 75,000/5000 = 15

Variable cost per unit = 15

Sales units to achieve target profit = Fixed cost + target profit/(selling price - variable cost per unit)

Sales unit to achieve target profit

= (50,000 + 15,500)/(25-15)

= 6,550

Sales unit to achieve target profit =6,550 units

Use the information for the​ question(s) below. Project A Project B Time 0 −​10,000 −​10,000 Time 1 ​5,000 ​4,000 Time 2 ​4,000 ​3,000 Time 3 ​3,000 ​10,000 If WiseGuy Inc. uses IRR rule to choose​ projects, which of the projects​ (Project A or Project​ B) will rank​ highest?

Answers

Answer:

PROJECT B

Explanation:

Internal rate of return is the discount rate that equates the after tax cash flows from an investment to the amount invested.

IRR can be calculated using a financial calculator

For project A,

Cash flow in year 0 = -10,000

cash flow in year 1 = 5,000

cash flow i year 2 - 4,000

cash flow in year 3 = 3,000

IRR = 10.65%

For project B,

Cash flow in year 0 = -10,000

cash flow in year 1 = 4,000

cash flow i year 2 - 3,000

cash flow in year 3 = 10,000

IRR = 26.37%

Project B would be ranked higher because it has a higher IRR

To find the IRR using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. After inputting all the cash flows, press the IRR button and then press the compute button

Per Unit Percent of Sales Selling price $ 115 100 % Variable expenses 69 60 Contribution margin $ 46 40 % Fixed expenses are $83,000 per month and the company is selling 2,500 units per month. rev: 06_04_2020_QC_CS-205709, 06_18_2020_QC_CS-216765 Required: 1-a. How much will net operating income increase (decrease) per month if the monthly advertising budget increases by $8,800 and monthly sales increase by $17,250

Answers

Answer:

Net operating income will increase by $8,450 per month.

Explanation:

Prepare a Incremental analysis to reflect the impact of the new circumstances.

Incremental analysis

Incremental Sales                     $17,250

Less Incremental Fixed Cost   ($8,800)

Incremental Income                  $8,450

Conclusion :

Net operating income will increase by $8,450 per month.

Where in the CAFR would one find the long-term liability for revenue bonds (paid from the revenues of an enterprise fund)?
A. The proprietary funds Statement of Net Position only
B. The government-wide Statement of Net Position only
C. The government-wide Statement of Net Position and the proprietary funds Statement of Net Position
D. The government-wide Statement of Net Position and the RSI Schedule of Bonds Payable

Answers

Answer:

C. The government-wide Statement of Net Position and the proprietary funds Statement of Net Position

Explanation:

CAFR ( Comprehensive Annual Financial reporting ) is provides accurate, summarised, and meaningful information. There are three sections of this reporting as below.

IntroductionFinancialStatistical

In government-wide statement, The capital is reported on the net basis on financial statements.

At the end of the first year of operations, Gaur Manufacturing had gross accounts receivable of $412,000. Gaur's management estimates that 8% of the accounts will prove uncollectible. What journal entry should Gaur record to establish an allowance for uncollectible accounts

Answers

Answer:

Dr bad debt 32,960

Cr Allowance for uncollectible account 32,960

Explanation:

Preparation of the journal entry that Gaur should record to establish an allowance for uncollectible accounts

Since we were told that he had gross accounts receivable of the amount of $412,000 in which 8% of the accounts will prove uncollectible this means the transaction will be recorded as:

Dr Bad debt 32,960

Cr Allowance for uncollectible account 32,960

($412,000×8%)

Rita Gonzales won the $53 million lottery. She is to receive $2.2 million a year for the next 20 years plus an additional lump sum payment of $9 million after 20 years. The discount rate is 12 percent. What is the current value of her winnings

Answers

Answer:

PV= $17,365,776.86

Explanation:

Giving the following information:

Cf= 2,200,000

Number of years= 20

Discount rate= 12%

Additional lump sum= 9,000,000

First, we need to calculate the future value using the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual cash flow

FV= {2,200,000*[(1.12^20) - 1]} / 0.12 + 9,000,000

FV= $167,515,373.4

Now, the present value:

PV= FV/(1+i)^n

PV= 167,515,373.4/1.12^20

PV= $17,365,776.86

Trudy is Jocelyn's friend. Trudy looks after Jocelyn's four-year-old son during the day so Jocelyn can go to work. During the year, Jocelyn paid Trudy $4,090 to care for her son. What is the amount of Jocelyn's child and dependent care credit if her AGI for the year was $30,900

Answers

The answer is $34,990

Joe Henry's machine shop uses 2,500 brackets during the course of a year. These brackets are purchased from a supplier 90 miles away. The following information is known about the brackets: (12 points) Annual demand 4,000 Holding cost per bracket per year $1.75 Order cost per order $25.00 Lead time 4 days Working days per year 250
a. Given the above information, what would be the economic order quantity (EOQ)?
b. Given the EOQ, what would be the average inventory? What would be the annual inventory holding cost?
c. Given the EOQ, how many orders would be made each year? What would be the annual order cost?
d. Given the EOQ, what is the total annual cost of managing the inventory?
e. What is the time between orders?
f. What is the reorder point (ROP)?

Answers

Answer:

a. 339 brackets

b. 169.5 and $296.63

c. 12 and $300

d. $596.63

e. 4 days

f. 40 brackets

Explanation:

Economic Order Quantity is the Order size that minimizes holding costs and ordering cost of inventory.

Economic Order Quantity = √ 2 × Annual Demand × Ordering Cost / (Holding Cost per unit)

                                           = √(2 × 4,000 × $25.00) / $1.75

                                           = 339 brackets

Average Inventory = Economic Order Quantity ÷ 2

                               = 339 ÷ 2

                               = 169.5

Annual inventory holding cost = Average Inventory × Holding Cost per unit per year

                                                  = 169.5 × $1.75

                                                  = $296.63

Orders to make each year = Total Annual Demand ÷ Economic Order Quantity

                                            = 4,000 ÷ 339 brackets

                                            = 11.7994 or 12

Annual order cost = Number of Orders × Cost per Order

                              = 12 × $25.00

                              = $300

Total Annual Cost = Annual inventory holding cost +  Annual order cost

                              = $296.63 + $300

                              = $596.63

Reorder point (ROP) = Lead time × usage per day

                                  = 4 × ( 2,500 / 250)

                                  = 40 brackets

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