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Levart [38]
4 years ago
13

You are the manager of a firm that produces output in two plants. The demand for your firm's product is P = 78 - 15Q, where Q =

Q1 + Q2. The marginal cost associated with producing in the two plants are MC1 = 3Q1 and MC2 = 2Q2. How much output should be produced in plant 1 in order to maximize profits?
Business
1 answer:
Arisa [49]4 years ago
8 0

Answer:

charged to maximize profits is 40.5

Explanation:

given data

P = 78 - 15 Q

Q = Q1 + Q2

MC1 = 3Q1

MC2 = 2Q2

solution

we get here first total revenue and marginal revenue that is

total revenue TR = P × Q   ............................1

total revenue TR = 78Q - 15Q²

so

marginal revenue MR = \frac{change\ in\ TR}{change\ in\ Q}    

marginal revenue MR = 78 - 30Q

and now we get here

marginal revenue MR = MC1 = MC2

put here value

78 - 30Q1 - 30Q2 = 3 Q1 or 33 Q1 = 78 - 30Q2   ......................................2

78 - 30 Q1 - 30 Q2 = 2 Q2 or Q2 = 78 - 30Q1/32   ...................................3

by equation 2 and 3  we get here

33 Q1 = 78 - 30 (78 -  \frac{30Q1}{32}  )

so here Q1 = 1 and

Q2 = 78 -  \frac{30\times 1}{32}

Q2 = 1.5

and here Q will be

Q = Q1 + Q2

Q = 1 + 1.5

Q = 2.5

so we get value of P that is

P = 78 - 15 Q

P = 78 - 15 (2.5)  

P = 40.5

so charged to maximize profits is 40.5

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Current Attempt in Progress Suppose at December 31 of a recent year, the following information (in thousands) was available for
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Answer:

                                           OAKLEY

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DAYS IN INVENTORY        137  

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      END  START

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$ 395,010  Cost of Goods Sold

OAKLEY

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Cost Of Goods  395,010  

Average Inventory  148,500  

DAYS IN INVENTORY  137  

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