# The weekly demand function for x units of a product sold by only one firm is p = 500 − 1/2x dollars, and the average cost of production and sale is C = 400 + 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?\$

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

p = 500 − 1/2x dollars,

and the average cost of production and sale is

C = 400 + 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?
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