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.

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 104RE: Demand A company has found that the daily demand x for its boxes of chocolates is inversely...
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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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