Suppose that the marginal revenue for firefighting protective clothes is MR = 258 - cost is MC = 2.5x + 15 with a fixed cost of $260. Assume R(0) = 0. a) How many units will result in a maximum profit? b) Find the revenue function. R(z) c) Find the cost function. C(x) d) What is the maximum profit (to the nearest dollar)? The maximum profit is 2x and the marginal

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 = 258 - 2x and the marginal
cost is MC = 2.5x + 15 with a fixed cost of $260. Assume R(0) = 0.
a) How many units will result in a maximum profit?
I
b) Find the revenue function.
R(z) =
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 = 258 - 2x and the marginal cost is MC = 2.5x + 15 with a fixed cost of $260. Assume R(0) = 0. a) How many units will result in a maximum profit? I b) Find the revenue function. R(z) = 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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