24. Let p 500 0.025 and C(z) = 350x + 50000 be the price-demand equation and the monthly cost, respectively, for producing and selling gadgets per month where 0 x < 20000. (a) How many gadgets should the company manufacture each month to maximize its profit? (b) What is the maximum profit? (c) How much should the company charge for each gadget?

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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24. Let p 500 0.025 and C(z) = 350x + 50000 be the price-demand
equation and the monthly cost, respectively, for producing and selling
gadgets per month where 0 x < 20000.
(a) How many gadgets should the company manufacture each month to
maximize its profit?
(b) What is the maximum profit?
(c) How much should the company charge for each gadget?
Transcribed Image Text:24. Let p 500 0.025 and C(z) = 350x + 50000 be the price-demand equation and the monthly cost, respectively, for producing and selling gadgets per month where 0 x < 20000. (a) How many gadgets should the company manufacture each month to maximize its profit? (b) What is the maximum profit? (c) How much should the company charge for each gadget?
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