Question 1142726
A company that produces chemicals used in manufacturing sells a certain product for $200 per unit. The total production cost for the product is

C(x)= 500,000 + 80x + 0.003x^2

The company can produce no more than 30,000 units during a given time period.  How 
many units of the chemical product should be manufactured and sold to maximize profit?
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It's a parabola with a minimum.

C(x)= 500,000 + 80x + 0.003x^2
C'(x) = 80 + 0.006x = 0
x = 80/0/006 = 13,333 units