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Luba_88 [7]
3 years ago
9

Sharon is opening a new pizza restaurant that will use a combination of workers and ovens to produce pizzas. Sharon knows from e

xperience that the total number of pizzas she can produce in an hour is given by the function q=4K0.5L0.5 , where q is the number of pizzas per hour, K is the number of ovens, and L is the number of workers. Suppose another pizza restaurant in the same town can produce 19 pizzas per hour. Being an extremely competitive person, Sharon wants to produce 20 pizzas per hour. Therefore, his total hourly cost function is given by ____
Business
1 answer:
mr Goodwill [35]3 years ago
7 0

Answer:

Q+X = [4K^1/2L^1/2] + X

Explanation:

L = labour = workers

K = capital = ovens

You don't have the exact value of Q since the values of K and L are not given.

You should however note that Q is less than or equal to 19 pizzas/hour, since Sharon sought to stretch his capacity by producing up to 20 pizzas/hour owing to the presence of a competitor.

Assuming the distance/difference between 20 and Q is X (a positive number).

Sharon's new hourly cost function will be:

Q+X = [4K^1/2L^1/2] + X

Q+X = 20 and the law of mathematics states that whatever you add to the left hand side must be added to the right hand side, hence the addition of X to both sides of the equation instead of the left hand side alone.

The function can now be rewritten as 20 = [4K^1/2L^1/2] + X

where X = 20 - Q

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Sales revenue $350,000 Accounts receivable $280,000 Ending inventory $230,000 Cost of goods sold $180,000 Sales returns $50,000
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$100,000

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In working on a bid for project you have determined that $245,000 of fixed assets will be required and that they will be depreci
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Answer:

Question 1:

required investment $245,000

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you will also require $15,000 in working capital

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what is the minimum amount of cash sales for accepting the project:

net cash flow₁ = {[(sales revenue - $68,500 - $44,360) x 0.65] + $44,360} / 1.14 = (0.65SR - $28,999) / 1.14 = 0.5702SR - $25,437.72

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net cash flow₃ = {[(sales revenue - $68,500 - $44,360) x 0.65] + $44,360} / 1.14³ = (0.65SR - $28,999) / 1.14³ = 0.4387SR - $19,573.50

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NPV = 0

initial outlay = cash flows

$260,000 = 0.5702SR - $25,437.72 + 0.5002SR - $22,313.79 + 0.4387SR - $19,573.50 + 0.3849SR - $17,169.74 + 0.3376SR - $7,270.64

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$351,765.39 = 2.2316SR

sales revenue = $351,765.39 / 2.2316 = $157,629.23

the closest answer is B = $155,119, but its NPV will be negative.

<u>so we have to select C = $162,515.75 that results in an NPV = $10,887. </u>

Question 2:

<u>The correct answer is D. return on equity will increase.</u>

If you lower your costs while your sales remain the same, your profits will increase as well as your ROE.  

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