Suppose that the marginal revenue for firefighting protective clothes is MR = 479 - 4x and the marginal cost is MC = 4.5x + 20 with a fixed cost of $320. 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
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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Suppose that the marginal revenue for firefighting protective clothes is MR = 479 - 4x and the
marginal cost is MC = 4.5x + 20 with a fixed cost of $320. 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 = 479 - 4x and the marginal cost is MC = 4.5x + 20 with a fixed cost of $320. 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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