A division of a certain company manufactures a pager. The weekly fixed cost for the division is $20,000, and the variable cost for producing x pagers per week is V(x) = 0.000001x3 − 0.03x2 + 70x dollars. The company realizes a revenue of R(x) = −0.04x2 + 140x      (0 ≤ x ≤ 7500) dollars from the sale of x pagers/week. Find the level of production that will yield a maximum profit for the manufacturer. Hint: Use th

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 division of a certain company manufactures a pager. The weekly fixed cost for the division is $20,000, and the variable cost for producing x pagers per week is
V(x) = 0.000001x3 − 0.03x2 + 70x
dollars. The company realizes a revenue of
R(x) = −0.04x2 + 140x      (0 ≤ x ≤ 7500)
dollars from the sale of x pagers/week. Find the level of production that will yield a maximum profit for the manufacturer. Hint: Use the quadratic formula. (Round your answer to the nearest integer.)
x =       pagers
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