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...

A firm can produce at mostx
= 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?