The daily profit from the sale of a product is given by P = 32x − 0.2x2 − 200 dollars, where x is the number of units of production. (a) What level of production maximizes profit? units (b) What is the maximum possible profit?

The daily profit from the sale of a product is given by P = 32x − 0.2x2 − 200 dollars, where x is the number of units of production. (a) What level of production maximizes profit? units (b) What is the maximum possible profit?

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.1: Quadratic Functions

Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...

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Question

The daily profit from the sale of a product is given by P = 32x − 0.2x² − 200 dollars, where x is the number of units of production.

(a) What level of production maximizes profit?
units

(b) What is the maximum possible profit?

Expert Solution

Step 1

Given that: $P (x) = 32 x - 0.2 x^{2} - 200$

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