A manufacturer determines that between 0 and 1000 units can be made, and that the total cost of producing x units is C(x) = -.01x^2 + 30x + 200, while the revenue will be R(x) = 23x. Find the profit function P(x) and determine the production level that will maximize profit.

A manufacturer determines that between 0 and 1000 units can be made, and that the total cost of producing x units is C(x) = -.01x^2 + 30x + 200, while the revenue will be R(x) = 23x. Find the profit function P(x) and determine the production level that will maximize 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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please write on how you are solving each steps

A manufacturer determines that between 0 and 1000 units can be made, and that the total cost of
producing x units is C(x) = -.01x^2 + 30x + 200, while the revenue will be R(x) = 23x. Find the profit
function P(x) and determine the production level that will maximize profit.

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Step 3: Maximization of Profit

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