A manufacturer determines that the cost in dollars for making "x" calculoodles is C(x) = 1800 + 25x – 0.2x2 + 0.001x3. When "x" caculoodles are produced, the price per caculoodle in dollars is p(x) = 50 – 0.025x. a) Write the Profit function, simplified completely. b) Use Calculus to find the production level (x) that maximizes profit. Also find the maximum profit. *Hint: Be sure to use a sign chart with the first derivative or the second derivative test to demonstrate you have a maximum.

A manufacturer determines that the cost in dollars for making "x" calculoodles is C(x) = 1800 + 25x – 0.2x2 + 0.001x3. When "x" caculoodles are produced, the price per caculoodle in dollars is p(x) = 50 – 0.025x. a) Write the Profit function, simplified completely. b) Use Calculus to find the production level (x) that maximizes profit. Also find the maximum profit. *Hint: Be sure to use a sign chart with the first derivative or the second derivative test to demonstrate you have a maximum.

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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