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The monthly demand function for x units of a product sold by a monopoly is p = 5,200² dollars, and its average c Find the revenue function, R(x), in dollars. R(x) = Find the cost function, C(x), in dollars. C(x) = Find the profit function, P(x), in dollars. P(x) = Find P'(x). P'(x) = Find the number of units that maximizes profits. (Round your answer to the nearest whole number.)

The monthly demand function for x units of a product sold by a monopoly is p = 5,200² dollars, and its average c Find the revenue function, R(x), in dollars. R(x) = Find the cost function, C(x), in dollars. C(x) = Find the profit function, P(x), in dollars. P(x) = Find P'(x). P'(x) = Find the number of units that maximizes profits. (Round your answer to the nearest whole number.)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The monthly demand function for x units of a product sold by a monopoly is p = 5,200 -1x² dollars, and its average cost is C = 3,030 + 2x dollars. Production is limited to 100 units. Find the revenue function, R(x), in dollars. R(x) = Find the cost function, C(x), in dollars. C(x) = Find the profit function, P(x), in dollars. P(x) = Find P'(x). P'(x) = Find the number of units that maximizes profits. (Round your answer to the nearest whole number.) units Find the maximum profit. (Round your answer to the nearest cent.) $ Does the maximum profit result in a profit or loss? O profit Oloss
Transcribed Image Text:The monthly demand function for x units of a product sold by a monopoly is p = 5,200 -1x² dollars, and its average cost is C = 3,030 + 2x dollars. Production is limited to 100 units. Find the revenue function, R(x), in dollars. R(x) = Find the cost function, C(x), in dollars. C(x) = Find the profit function, P(x), in dollars. P(x) = Find P'(x). P'(x) = Find the number of units that maximizes profits. (Round your answer to the nearest whole number.) units Find the maximum profit. (Round your answer to the nearest cent.) $ Does the maximum profit result in a profit or loss? O profit Oloss
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