The owner-manager of Good Guys Enterprises obtains utility from income (profit) and from having the firm behave in a socially conscious manner, such as making charitable contributions or civic expenditures. Can you set up the problem and derive the optimization conditions if the owner-manager wishes to obtain a specific level of utility at the lowest possible cost? Do these conditions differ from the utility maximizing conditions?

Answers

Answer 1

Answer:

Step-by-step explanation:

Certainly! To set up the problem, we can consider the owner-manager's utility as a function of two variables: income (profit) and charitable contributions or civic expenditures. Let's call these variables x and y, respectively.

The owner-manager utility is given by the function U(x,y), where x is the income (profit) and y is the charitable contributions or civic expenditures.

The cost of obtaining this utility is given by the function C(x,y), where x is the income (profit) and y is the charitable contributions or civic expenditures.

To find the lowest possible cost at which the owner-manager can obtain a specific level of utility, we can use the following optimization conditions:

The cost function C(x,y) should be minimized subject to the constraint U(x,y) = k, where k is the specific level of utility that the owner-manager wishes to achieve.

The first-order necessary conditions for a minimum are:

∂C/∂x = λ ∂U/∂x

∂C/∂y = λ ∂U/∂y

where λ is a Lagrange multiplier.

These conditions are known as the Karush-Kuhn-Tucker (KKT) conditions.

These optimization conditions differ from the utility-maximizing conditions in that we are minimizing the cost function instead of maximizing the utility function. In addition, we have the constraint U(x,y) = k, which means that we are trying to achieve a specific level of utility rather than trying to maximize it.


Related Questions

i dont understand this help

Answers

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Debby deposits 25% if the money that she earns each week in a savibgs account if debby earns $72 each week, how much money will she deposit next week

Answers

$18 is the answer

($72 x 25%)

It takes 3 eggs to make a cake .how many cakes can you make with 37 eggs

Answers

Answer:

12 cakes

Step-by-step explanation:

37 / 3 = 12.33333

salve for y √(7-x)²+(9-y)²

Answers

The solution for y in the equation √(7 - x)² + (9 - y)² is infinite many solutions

How to determine the solution for y

From the question, we have the following parameters that can be used in our computation:

√(7-x)²+(9-y)²

Express tthe equation properly

So, we have the following representation

√(7 - x)² + (9 - y)²

The above is an expression, not an equation

This means that the value of the variable y can take any value and the equation will be true

In other words, it means that the variable y has infinite many solutions because it is not an equation but it is an expression

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Each other 11 letters of the word mathematics with written on a separate piece of paper and placed in a bowl what is the probability of drawing

Answers

Therefore, the probability of drawing "OBJ" from the bowl is (1/11) * (1/11) * (1/11) = 1/1331

Define Probability.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Define Statistics.

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. It is customary to start with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem.

The word "mathematics" has 11 letters, so there are 11 letters in the bowl. The probability of drawing the letter "O" is 1/11, since there is only 1 "O" in the 11 letters. Similarly, the probability of drawing the letter "B" is 1/11, and the probability of drawing the letter "J" is 1/11 as well.

Since the events of drawing the letter "O", "B", and "J" are independent of each other, the probability of drawing all three letters in order is the product of their individual probabilities.

Therefore, the probability of drawing "OBJ" from the bowl is (1/11) * (1/11) * (1/11) = 1/1331

It is a very low probability, the chances of drawing that sequence are very low.

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Which of the following fractions is equivalent to 10/12

Answers

Answer:

I don't know what the options are so I'm just gonna list a few and if they aren't on there lmk the options you have to choose from

Step-by-step explanation:

5/6, 15/18, 20/24, 25/30, 30/36, 35/42, 40/48, 45/54, 50/60, 55/66, 60/72, 65/78, 70/84, 75/90, 80/96, 85/102, 90/108, 95/114, 100/120

Answer:

5/6

Step-by-step explanation:

the equivalent fraction of 10/12 is 5/6 because both the numerator and the denominator are divisible by 2.

There are 5 yellow golf balls, 3 red golf balls, and 10 white golf balls in a bag. What are the odds of randomly choosing a yellow golf ball?

Answers

Answer:

5/18

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

1+1=2

help please! include how you did it and i will give you brainilist.

Answers

Answer: A' (3, 6)

Step-by-step explanation: It is given that the point at is at the coordinate of (1, 2). In this coordinate, 1 represents the x-coordinate while 2 represents the y-coordinate. All you have to do is plug the values of x and y into (x+2)(y+4); so, it will look like this, (1+2)(2+4). Therefore, the new x-coordinate is 3 and the new y-coordinate is 6, so A'(3, 6).

A house 20 meters long and 15 meters wide is surrounded by a verandah of uniform width of 3 meters. Find the cost of the flooring the verandah at RS 200 per square meter

Answers

Answer:

49200 rs. so the cost of flooring =246*200=49200 rs

Step-by-step explanation:

Solution :

we measure the area of veranda by taking width in addition of length and breadth- house area

it means

area of veranda =outer rectangle-inner rectangle

⇒area= (20+3+3)*(15+3+3)-20*15

⇒area=26*21-300

⇒area= 546-300

⇒area=246 m²

Hence , the cost of flooring =246*200=49200 rs.

You find a mutual fund that offers approximately 6% APR compounded
monthly. How much will you need to invest each month for the next year in
order to have $1000?

Answers

Answer:

$81.06

A P E X :)

Review the diagram of a locket in the shape of an ellipse.
The major and minor axes are labeled in the diagram.
If the center of the locket is at the origin of a coordinate
plane, which equation represents the locket?
x2
361
+
72
= 1
169
OK
V2
361
+
X2
= 1
169
38 mm
x2
1.444
1
676
26 mm
0 ' '
x2
676
= 1
1,444

Answers

Answer:

D

Step-by-step explanation:

If a = 38 and b = 26 then the equation would be y^2/1444 + x^2/676 = 1

also just graph it or smth

The equation of the ellipse in the figure is x^2/676 + y^2/1296 = 1

How to determine the equation?

The figure is an ellipse, and it has the following parameters:

Center, (h,k) = (0,0)Major radius = 36Minor radius = 26

The equation of the ellipse is then calculated using:

x^2/r^2 + y^2/R^2 = 1

So, we have:

x^2/26^2 + y^2/36^2 = 1

Evaluate the exponents

x^2/676 + y^2/1296 = 1

Hence, the equation of the figure is x^2/676 + y^2/1296 = 1

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If f(x)=-4x-5 and g(x)= 3-x, what is g(-4) +f(1)?

A.-10
B.7
C.-9
D.-2

Answers

Answer:

-2

Step-by-step explanation:

sustitue -4 into x for 3-x which would equal 7 because a negative times a negative equals positive. Then substitue 1 in for x in -4x-5 which would get you -9

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HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLP

Answers

Write a letter to your friend describing your hobbies. (80 words)A2/32, Chengal Nagar

Tambaram

Chennai – 600023

May 5, 2021

Dearest Malu,

I hope this letter finds you in the best of health. I received your letter the other day asking how I am spending my leisure time these days.

I have developed many hobbies over the years but collecting stamps and embroidery have been my favourite so far. Stamp collection is something I started as a kid. I had just taken a few pages off my notebook and made it my stamp book. I get so excited every time I see the postman. I wait to see what kind of stamp I will get. Knowing that I have a liking for collection of stamps, my cousins have been sending it across to me every time they find a different stamp. I can’t wait to show you my collection.

Embroidery is another hobby I picked up recently. I always liked embroidered clothes. I just started trying out different stitching patterns. Slowly, I learned almost everything, and now I am selling embroidered frames and dresses. It is so fulfilling to see a piece of work come out so well. I am sending you a gift along with this letter, something I made, as your birthday is fast approaching.

Hope to meet you soon.

Your dearest friend,

Renitaالسلام عليكماخوي عارض شريطPandemic

What is the range for this set of data? 38, 17, 55, 40 02 38 39 O 72​

Answers

Answer:

38

Step-by-step explanation:

The range is the difference between the highest value and the lowest value. Here the highest value is 55 and the lowest 17. Therefore, the range is take away 17 from 55 which equals to 38

The range for this set of data is 38.

Option B is the correct answer.

What is range in a set of data?

The range is a measure of dispersion or spread in a set of data.

It is defined as the difference between the largest and the smallest values in the data set.

Range provides an idea of how much the data values are spread out or dispersed.

If the range is small, it indicates that the data values are close together, while a large range indicates that the data values are spread over a wider range of values.

We have,

To find the range of a set of data, we need to subtract the smallest value from the largest value.

Here, the smallest value is 17 and the largest value is 55.

So,

The range of the data set is:

55 - 17 = 38

Thus,

The range for this set of data is 38.

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- Joy and John MacAllister have agreed to purchase a house for $79,900. First
National Savings & Loan is willing to lend the money at 7.5 percent for
25 years, provided the MacAllisters can make a $19,900 down payment. The
total closing cost is 3.5 percent of the amount of the mortgage. What is their
total closing cost?

Answers

Answer:

Step-by-step explanation‎:

Given the number 254, 476, 951
What number is in the TEN THOUSAND's SPOT?

Answers

Step-by-step explanation: 1 is in the ten thousand places and has a place value of 10,000. 3 is in the thousand's place and has a place value of 3,000. 5 is in the hundreds and has a place value of 500.

if someone takes your food is it still sharing ​

Answers

Yes, it is not sharing by choice but you are technically still giving it to the person.

Answer:

not unless you want them to have it :)

Step-by-step explanation:

Refer to the diagram shown.

I need help with this please help me

Answers

Answer: Angle-Side-Angle Theorem

Step-by-step explanation:

The two triangles are shown to have congruent angles. By the Reflexive Property of Congruence, Side PM is shared and congruent between the two.

Because the angles are on either side (left and right) of the shared side, the triangles are congruent by the Angle-Side-Angle Theorem.

Two car dealerships pay their employees a monthly salary plus a commission on cars that they sell.

Answers

The person who is right on the dealership that pays a higher commission, is Tyson because Dealership A pays the higher commission.

How to find the commission paid ?

The commission paid on Dealership A cars can be found by the formula :

= ( Monthly income for 4 cars - Monthly income for 1 car ) / Difference in number of cars

= ( 3, 850 - 1, 900 ) / ( 4 - 1 )

= $ 650

The commission paid on Dealership B cars would be:

= ( Monthly income for 4 cars - Monthly income for 1 car ) / Difference in number of cars

= ( 3, 500 - 2, 000 ) / ( 4 - 1 )

= 1, 500 / 3

= $ 500

Dealership A pays the higher commission.

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5 in. 3 8 in. What is the volume, in cubic inches, of the prism? cubic inches​

Answers

Answer:

70in^3

Step-by-step explanation:

Ok so the the formula for volume for a cube is V= L x W x H

so if the dimensions are 5in by 3in by 8in, the volume of the cube is 5x8x3 = 70 inches^3

AB=25 , BD=4, Solve for the radius?
Please help!!!!!

Answers

9514 1404 393

Answer:

  r = 14.5

Step-by-step explanation:

AD is the perpendicular bisector of chord EC, so is the diameter of the circle. The radius is half the diameter.

  r = AD/2 = (AB +BD)/2 = (25 +4)/2 = 29/2

  r = 14.5

__

Segments BE and BC are 10 = √(25·4)

HELPPP MEE THANK U, 20 POINTS!~

Answers

Answer:

B

Step-by-step explanation:

The second box plot starts later then the first one on the number line.

Which of the following statements must be true based on the diagram below?
Select all that apply. (Diagram is not to scale.)

Answers

As a result, after studying the diagram below of triangle and considering the reasons that follow, the appropriate answers are 1, 2, 3, and 4.

Define triangle.

Any three points in a plane can be connected to create triangles, which are polygonal (shapes) with three sides and three angles. They are among the first shapes in geometry that are explored. Since each polygon (with 4, 5, 6, or n sides) may be divided into triangles, triangles are particularly significant.

Here,

A segment bisector in this case is 1)OP.

Since segment LKMN is not divided into two equal sections, NO OP is not a segment bisector.

A perpendicular bisector is

2)OP.

NO,Because a perpendicular bisector creates an angle to the normal and divides a segment into two equal halves, OP is not a perpendicular bisector.

The angle bisector NO is OP.

Due to the fact that OP they do not divide any angles into two equal pieces.

4) The diagram's vertex of a pair of congruent angles is O.

YES Since O lines connect two angles with the same degree ()

5)O is the right angle's vertex.

NO

As a result of things not being at a straight angle.

6) A segment's midway in the diagram

By drawing diagonals across the four vertices LMNK, it is possible to determine where this segment's midpoint lies.

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speeeeeeeedddddddddddddddddddddddddddddddd

Answers

Answer:

I would be ...

75/8

multiple 9 by 8 and then add 3

Hope this helps!

Step-by-step explanation:

;)

Answer:

75/8!

Step-by-step explanation:

If f(x) = 2x4 - 3x + 3, then what is the remainder when f(x) is divided by x - 1?

Answers

The remainder on dividing 2x⁴-3x+3 by x-1 is 2

What are functions?

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given here: 2x⁴-3x+3 by x-1

The remainder theorem states that when a polynomial p(x) is divided by (x - a), then the remainder = f(a)

∴ The remainder would is f(1) = 2×1-3+3

                                                 =2

Hence, The remainder on dividing 2x⁴-3x+3 by x-1 is 2

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Can anyone tell me why this is wrong

Answers

Answer:

i, n, e, q, u, a, l, t, y

Step-by-step explanation:

You repeated some letters.

pls give me brainliest and have a nice day! Hope it helps!

35×75(46×13-55)-76=?​

Answers

Answer:

1,425,299

Step-by-step explanation:

Answer:

1425299

Step-by-step explanation:

35×75(46×13-55)-76

multiply stuff in parenthesis

35×75(598-55)-76

subtract stuff in parenthesis

35×75(543)-76

multiply

1425375-76

subtract

1425299

The number of views for a video on a social media website doubles every day. You begin observing the
number of views 8 days after the video was introduced. The number y of views x days after the video is introduced is
represented by the function = 22(2^x-8). When will there be one million views?

Answers

The total number of times social media browsers have been showed your content.

How is social media value calculated?

A general, but simplified earned media value formula is: EMV = impressions x cost per 1000 impressions x adjustable variable. The adjustable variable can be anything you are looking to track like engagement or impressions.

Simplifying

22 = 2(x + 8)

Reorder the terms:

22 = 2(8 + x)

22 = (8 * 2 + x * 2)

22 = (16 + 2x)

Solving

22 = 16 + 2x

Solving for variable ‘x’.

Move all terms containing x to the left, all other terms to the right.

Add ‘-2x’ to each side of the equation.

22 + -2x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0

22 + -2x = 16 + 0

22 + -2x = 16

Add ‘-22’ to each side of the equation.

22 + -22 + -2x = 16 + -22

Combine like terms: 22 + -22 = 0

0 + -2x = 16 + -22

-2x = 16 + -22

Combine like terms: 16 + -22 = -6

-2x = -6

Divide each side by ‘-2’.

X = 3

Simplifying

X = 3

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A movie theater sells popcorn in bags that open to form similar prisms, as shown. The large bag has a volume of 576 cubic inches. The small bag is 12 in tall and the large bag is 16 in tall. What is the volume of the small bag?

Answers

Can’t be determined
Can’t be determined

8. Laurie graphed two lines, as shown on the right.
One line has a slope of -2 and the other has a slope of
1/2. Laurie noticed that although the slopes are
negative reciprocals of each other, the lines do not
appear to be perpendicular. Explain why this result
occurs, even though she graphed the lines correctly.

Answers

It's possible that the lines do not appear to be perpendicular, even though the slopes are negative reciprocals, because the lines may not be intersecting at 90 degrees angle,

What are the slopes of the two lines?

The slope of a straight line between two points says (x1,y1) and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The slope is usually represented by the letter m.

The slopes of the two lines that Laurie graphed, -2 and 1/2, are negative reciprocals of each other, which means that their product is -1.

In a Cartesian coordinate system, lines that are perpendicular to each other will have slopes that are negative reciprocals of each other, and the product of their slopes will be -1.

However, it's possible that the lines do not appear to be perpendicular, even though the slopes are negative reciprocals, because the lines may not be intersecting at 90 degrees angle.

The two lines could be skew lines that never intersect and thus cannot be perpendicular.

Another reason could be that the lines may not be in the same coordinate system or not graphed on the same set of axes.

When working with slope, we always assume that the lines are defined on a 2D Cartesian coordinate system, if that is not the case, it could cause the lines to not appear as perpendicular.

Hence, it's possible that the lines do not appear to be perpendicular, even though the slopes are negative reciprocals, because the lines may not be intersecting at 90 degrees angle, another reason could be that the lines may not be in the same coordinate system or not graphed on the same set of axes.

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