A company manufactures and sells x pieces of a certain product per month. The monthly cost (in dollars) is C(x) = 120000 + 100x and the price-demand equation is p = 300 – - where 0 < x< 4000. Find the maximum profit, the production level that will give the maximum profit, and the price the company should charge for each piece of the product.

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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A company manufactures and sells x pieces of a certain product per month. The monthly cost (in dollars)
is
C(x) = 120000 + 100x
and the price-demand equation is
p = 300 –
15
where 0 <x< 4000. Find the maximum profit, the production level that will give the maximum profit,
and the price the company should charge for each piece of the product.
Transcribed Image Text:A company manufactures and sells x pieces of a certain product per month. The monthly cost (in dollars) is C(x) = 120000 + 100x and the price-demand equation is p = 300 – 15 where 0 <x< 4000. Find the maximum profit, the production level that will give the maximum profit, and the price the company should charge for each piece of the product.
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