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) = 0.000001x3 - 0.01x2 + 50x The company realizes a revenue in dollars from the sale of x pagers/week represented by the function R(x). (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. find the total cost function:

Total Cost + fixed cost + variable cost = $20,000 + 0.000001x^3-0.01x^2 +50x

B. find the total profit function

Profit = Revenue - Total Cost; + Revenue equation (given) - Total Cost equation (Part "A")

C. what is the profit for the company if 2000 units are produced and sold each week?

Profit (2000) units; just substitute 2000 for "x" in the above Part "B"equation and calculate the profit.

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