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+ 105x + 1) (0≤xs 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.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
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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+105x + 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.)
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+105x + 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.)
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