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.)
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.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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