1. Suppose that in a monopoly market the total cost per week of producing a high- tech product is given by C = 3600 + 100x + 2x². Suppose further that the weekly demand function for this product is p = 500 - 2x. a. Determine the profit function. b. Find the break-even point(s). c. Find the value of x that maximized the revenue. Find the maximum revenue.

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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1. Suppose that in a monopoly market the total cost per week of producing a high- tech product is given
3600 + 100x + 2x². Suppose further that the weekly demand function for this product is
p = 500 - 2x.
by C
=
a. Determine the profit function.
b. Find the break-even point(s).
c. Find the value of x that maximized the revenue. Find the maximum revenue.
Transcribed Image Text:1. Suppose that in a monopoly market the total cost per week of producing a high- tech product is given 3600 + 100x + 2x². Suppose further that the weekly demand function for this product is p = 500 - 2x. by C = a. Determine the profit function. b. Find the break-even point(s). c. Find the value of x that maximized the revenue. Find the maximum revenue.
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