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lora16 [44]
3 years ago
15

A firm is planning to manufacture a new product. As the selling price is increased, the quantity that can be sold decreases. Num

erically they estimate
P = $35.00 - 0.02Q

(P = selling price per unit, Q = quantity sold per year)

On the other hand, management estimates that the average cost of manufacturing and selling the product will decrease as the quantity sold increases

C = $4.00Q + $8000

where C = cost to produce and sell Q per year

The want to maximize profit. What quantity should the decision makers plan to produce and sell each year?
Business
1 answer:
Oduvanchick [21]3 years ago
5 0

Answer:

Profit Maximising Quantity = 775

Explanation:

Price P = 35 - 0.02Q

Total Revenue TR = Price x Quantity = P X Q

= (35 - 0.02Q)(Q)  = 35Q - 0.02Q^2

Total Cost TC = 8000 + 4Q

Profit = TR - TC

[35Q - 0.02Q^2] - [8000+4Q]  =  35Q - 0.02Q^2 - 8000 - 4Q

Profit Function = - 0.02Q^2 + 31Q - 8000

To find out profit maximising Quantity , we will differentiate Profit Function with respect to Q & equate it to 0.

dTR/ dQ = -0.04Q + 31 = 0

Q = 31/0.04 = 775

To verify whether 775 is profit maximising Q, we will do second derivative & check that it is negative.

d^2TR/ dQ^2 = -0.04 i.e < 0 (negative)

So 775 is profit maximising quantity

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Answer:

Your answer is given below:

Explanation:

Statement showing Computations  

         Paticulars                                                                             Amount

Variable overhead cost per unit =100,000/1,000                   100.00

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2 years ago
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Answer:

$27,642.86

Explanation:

To determine the price Marko will pay today to buy ABC Co, one has to find the present value of the cash flows.

Present value is the sum of discounted cash flows.

Present value can be calculated using a financial calculator.

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To find the present value using a financial calacutor:

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2. After inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.

3. Press compute

I hope my answer helps you

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