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 (-x° + 9x + 21x+ 1) (0sxs 10). a) Find the number of units that should be sold in order to maximize the total profit. b) What is the maximum profit?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18RE
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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 (-x° + 9x + 21x + 1) (0sxs10). 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.)
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 (-x° + 9x + 21x + 1) (0sxs10). 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.)
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