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?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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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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