A company manufactures a pager. The weekly fixed cost is $20,000 and the variable cost for producing x pagers/week is V (x) = 0.000001x^3 − 0.01x^2 + 50x   dollars. The company has a revenue of R(x) = −0.02x^2 + 150x,     0 ≤ x ≤ 7500 dollars from the sale of x pagers /week. Find the level of production that will give the maximum profit.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A company manufactures a pager. The weekly fixed cost is $20,000 and the variable cost for
producing x pagers/week is
V (x) = 0.000001x^3 − 0.01x^2 + 50x   dollars.

The company has a revenue of
R(x) = −0.02x^2 + 150x,     0 ≤ x ≤ 7500
dollars from the sale of x pagers /week.

Find the level of production that will give the maximum profit.

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