The monthly demand function for a product sold by a monopoly is p = 2,344 - x? 2 dollars, and the average cost is C=1,000 + 20x +x dollars. Production is limited to 1,000 units, and x is in hundreds of units. Find the revenue function, R(x). R(x) = Find the cost function, C(x). C(x) = Find the profit function, P(x). P(x) = (a) Find P'(x). P'(x) = Considering the limitations of production, find the quantity (in hundreds of units) that will give the maximum profit. hundred units (b) Find the maximum profit. (Round your answer to the nearest cent.) 848 PM %$4 10012021

The monthly demand function for a product sold by a monopoly is p = 2,344 - x? 2 dollars, and the average cost is C=1,000 + 20x +x dollars. Production is limited to 1,000 units, and x is in hundreds of units. Find the revenue function, R(x). R(x) = Find the cost function, C(x). C(x) = Find the profit function, P(x). P(x) = (a) Find P'(x). P'(x) = Considering the limitations of production, find the quantity (in hundreds of units) that will give the maximum profit. hundred units (b) Find the maximum profit. (Round your answer to the nearest cent.) 848 PM %$4 10012021

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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