Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue, R(x), and cost, C(x), are in thousands of dollars, and x is in thousands of units. R(x) = 9x - 4x2, C(x) = x³ - 5x? + 4x+1 The production level for the maximum profit is about 7 units. (Do not round until the final answer. Then round to the whole number as needed.) The profit is about S – 157 (Do not round until the final answer. Then round to the whole number as needed.)

College Algebra
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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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Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue, R(x), and cost,
C(x), are in thousands of dollars, and x is in thousands of units.
R(x) = 9x - 4x, C(x) = x° - 5x? + 4x+ 1
The production level for the maximum profit is about 7 units.
(Do not round until the final answer. Then round to the whole number as needed.)
The profit is about $ - 157
(Do not round until the final answer. Then round to the whole number as needed.)
Transcribed Image Text:Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue, R(x), and cost, C(x), are in thousands of dollars, and x is in thousands of units. R(x) = 9x - 4x, C(x) = x° - 5x? + 4x+ 1 The production level for the maximum profit is about 7 units. (Do not round until the final answer. Then round to the whole number as needed.) The profit is about $ - 157 (Do not round until the final answer. Then round to the whole number as needed.)
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