The monthly demand function for a product sold by a monopoly is p = 1,692 - x² dollars, and the average cost is C = 900 + 14x + x² dollars. Production is limited to 1,000 units, and x is in hundreds of units. Find the revenue function, R(x). 2(x) = Find the cost function, C(x). C(x) = Find the profit function, P(x). (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.) $

The monthly demand function for a product sold by a monopoly is p = 1,692 - x² dollars, and the average cost is C = 900 + 14x + x² dollars. Production is limited to 1,000 units, and x is in hundreds of units. Find the revenue function, R(x). 2(x) = Find the cost function, C(x). C(x) = Find the profit function, P(x). (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.) $

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

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