1. MAXIMIZING PROFIT A division of Chapman Corporation manufactures a pager. The weekly fixed cost for the divi- sion is $20,000, and the variable cost for producing x pag- ers per week is V(x) 0.000001x - 0.01x² + 50x %3D dollars. The company realizes a revenue of R(x) = = -0.02x + 150x (0 sx< 7500) %3D 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.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
ChapterP: Prerequisites
SectionP.9: Modeling With Equations
Problem 51E
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1. MAXIMIZING PROFIT A division of Chapman Corporation
manufactures a pager. The weekly fixed cost for the divi-
sion is $20,000, and the variable cost for producing x pag-
ers per week is
V(x) = 0.000001x - 0.01x² + 50x
%3D
dollars. The company realizes a revenue of
R(x) = -0.02x² + 150x
(0 <x< 7500)
%3D
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.
Transcribed Image Text:1. MAXIMIZING PROFIT A division of Chapman Corporation manufactures a pager. The weekly fixed cost for the divi- sion is $20,000, and the variable cost for producing x pag- ers per week is V(x) = 0.000001x - 0.01x² + 50x %3D dollars. The company realizes a revenue of R(x) = -0.02x² + 150x (0 <x< 7500) %3D 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.
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