A firm can produce at most x = 75 units per month, and their marginal cost function has been computed to be MC=30+2x, while the cost of producing and selling 100 units is $20,000. If their marginal revenue function has been computed to be MR=540-8x, then find: A) the number of units of production resulting in maximum monthly profit.   B)The maximum monthly profit   C)Associated fixed costs   D)How many units do the firm need to manufacture and sell in order to break even?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter11: Profit Maximization
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Problem 11.3P
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A firm can produce at most x = 75 units per month, and their marginal cost function has been computed to be MC=30+2x, while the cost of producing and selling 100 units is $20,000. If their marginal revenue function has been computed to be MR=540-8x, then find:

A) the number of units of production resulting in maximum monthly profit.

 

B)The maximum monthly profit

 

C)Associated fixed costs

 

D)How many units do the firm need to manufacture and sell in order to break even?

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