A toy manufacturing company’s profit in its first two months of operation is given by the profit function: P(x)=-x4+x3+2x2+11 where x is the number of toys sold (in thousands) and P(x) is in thousands of dollars (for example, if P(x)= 3, then the company’s profit is $3000). What is the company’s maximum profit during the first two months? Note: Please enter your answer in numbers only. Round to the nearest thousand dollars. For example, instead of $1,234, enter 1000.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.6: Graph Quadratic Functions Using Properties
Problem 9.101TI: Find the maximum or minimum value of the quadratic function f(x)=x28x+12.
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A toy manufacturing company’s profit in its first two months of operation is given by the profit function:

P(x)=-x4+x3+2x2+11

where x is the number of toys sold (in thousands) and P(x) is in thousands of dollars (for example, if P(x)= 3, then the company’s profit is $3000).

What is the company’s maximum profit during the first two months?
Note: Please enter your answer in numbers only. Round to the nearest thousand dollars. For example, instead of $1,234, enter 1000.
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