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The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is given by P(x) = In (-x³+3x²+144x+1) (0 ≤x≤ 10). a) Find the number of units that should be sold in order to maximize the total profit. b) What is the maximum profit? a) The number of units that should be sold in order to maximize the total profit is (Simplify your answer.) b) The maximum profit is approximately $ (Do not round until the final answer. Then round to the nearest dollar as needed.) C

The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is given by P(x) = In (-x³+3x²+144x+1) (0 ≤x≤ 10). a) Find the number of units that should be sold in order to maximize the total profit. b) What is the maximum profit? a) The number of units that should be sold in order to maximize the total profit is (Simplify your answer.) b) The maximum profit is approximately $ (Do not round until the final answer. Then round to the nearest dollar as needed.) C

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 30E: At the Pizza Dude restaurant, a 12-in. pizza costs 5.40 to make, and the manager wants to make at...
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The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is given by P(x) = In (-x³ + 3x² + 144x + 1) (0 ≤x≤ 10). a) Find the number of units that should be sold in order to maximize the total profit. b) What is the maximum profit? a) The number of units that should be sold in order to maximize the total profit is (Simplify your answer.) b) The maximum profit is approximately $. (Do not round until the final answer. Then round to the nearest dollar as needed.) C
Transcribed Image Text:The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is given by P(x) = In (-x³ + 3x² + 144x + 1) (0 ≤x≤ 10). a) Find the number of units that should be sold in order to maximize the total profit. b) What is the maximum profit? a) The number of units that should be sold in order to maximize the total profit is (Simplify your answer.) b) The maximum profit is approximately $. (Do not round until the final answer. Then round to the nearest dollar as needed.) C
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