A division of Chapman Corporation manufactures a pager. The weekly fixed cost for the division is $25,000, and the variable cost for producing x pagers/week in dollars is represented by the function V(x). V(z) = 0.000001.r – 0.01r? + 50r The company realizes a revenue in dollars from the sale of x pagers/week represented by the function R(x). R(z) = -0.02.r?+ 150r (0

Survey Of Economics
10th Edition
ISBN:9781337111522
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter6: Proudction Costs
Section: Chapter Questions
Problem 8SQP
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A division of Chapman Corporation manufactures a pager. The weekly fixed cost for the division is $25,000, and the variable cost for producing x pagers/week in dollars is represented
by the function V(x).
V(x) = 0.000001r' – 0.01r? + 50x
The company realizes a revenue in dollars from the sale of x pagers/week represented by the function R(x).
R(x) = -0.02.r² + 150r
(0 < x < 7500)
(a) Find the total cost function C.
C(x) =
%3D
(b) Find the total profit function P.
P(x) =
(c) What is the profit for the company if 1,600 units are produced and sold each week?
Transcribed Image Text:A division of Chapman Corporation manufactures a pager. The weekly fixed cost for the division is $25,000, and the variable cost for producing x pagers/week in dollars is represented by the function V(x). V(x) = 0.000001r' – 0.01r? + 50x The company realizes a revenue in dollars from the sale of x pagers/week represented by the function R(x). R(x) = -0.02.r² + 150r (0 < x < 7500) (a) Find the total cost function C. C(x) = %3D (b) Find the total profit function P. P(x) = (c) What is the profit for the company if 1,600 units are produced and sold each week?
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