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Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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
Transcribed Image Text:1. An apartment complex has 150 two-bedroom units. The manager has determined that the monthly revenue for
renting out x apartments can be estimated by the function
R(x) = -0.1x3+ 10x2 + 400x and that the monthly costs can be estimated by the function
C(x)%3D150X + 12,000.
%3D
a) Write the profit P as a function of the number of apartment units rented out.
b) Determine the marginal profit function.
c) Compute the marginal profit when x = 50 and interpret your answer in context of the problem.
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