A division of Chapman Corporation manufactures a pager. The weekly fixed cost fo

Question

A division of Chapman Corporation manufactures a pager. The weekly fixed cost for the division is $22,000, and the variable cost for producing x pagers/week in dollars is represented by the function V(x). V(x) = 0.000001x^3 - 0.01.x^2 50x The company realizes a revenue in dollars from the sale of x pagers/week represented by the function R(x). R(r) = -0.02x^2 + 150x (a) Find the total cost function C. C(x) = (b) Find the total profit function P. P(x) = (c) What is the profit for the company if 3,200 units are produced and sold each week? $

Explanation / Answer

a) 0.000001 x^3 - 0.01 x^2 + 50x + 22000

b) -0.000001 x^3 - 0.01 x^2 + 100x - 22000

c) 162832

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