Question

The weekly demand function for x units of a product sold by only one firm is...

The weekly demand function for x units of a product sold by only one firm is

p = 300 −

1
2

x dollars,

and the average cost of production and sale is

C = 200 + 2x dollars.

(a) Find the quantity that will maximize profit.
units

(b) Find the selling price at this optimal quantity.
$  per unit

(c) What is the maximum profit?

Math   Calculus   
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