Suppose that the marginal revenue for firefighting protective clothes is MR = 457 - 5x and the marginal cost is MC = 3.5x + 15 with a fixed cost of $325. Assume R(0) = 0. a) How many units will result in a maximum profit? x = b) Find the revenue function. R(x) = c) Find the cost function. C(x) d) What is the maximum profit (to the nearest dollar)? The maximum profit is

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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Suppose that the marginal revenue for firefighting protective clothes is MR = 457 - 5x and the marginal
cost is MC = 3.5x + 15 with a fixed cost of $325. Assume R(0) = 0.
a) How many units will result in a maximum profit?
x =
b) Find the revenue function.
R(x)
=
c) Find the cost function.
C(x)
d) What is the maximum profit (to the nearest dollar)?
The maximum profit is
Transcribed Image Text:Suppose that the marginal revenue for firefighting protective clothes is MR = 457 - 5x and the marginal cost is MC = 3.5x + 15 with a fixed cost of $325. Assume R(0) = 0. a) How many units will result in a maximum profit? x = b) Find the revenue function. R(x) = c) Find the cost function. C(x) d) What is the maximum profit (to the nearest dollar)? The maximum profit is
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