Some years ago it was estimated that the demand for steel approximately satisfied the equation p = 256 - 20x, and the total cost of producing x units of steel was C(x) = 176 + 56x. (The quantity x was measured in millions of tons and the price and total cost were measured in millions of dollars.) Determine the level of production and the corresponding price that maximize the profits. The maximum profit occurs at x = (million tons). The corresponding price is dollars per ton.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
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Some years ago it was estimated that the demand for steel approximately satisfied the equation p = 256 – 20x, and the total cost of producing x units of steel was
C(x) = 176 + 56x. (The quantity x was measured in millions of tons and the price and total cost were measured in millions of dollars.) Determine the level of production
and the corresponding price that maximize the profits.
The maximum profit occurs at x =
(million tons).
The corresponding price is
dollars per ton.
Transcribed Image Text:Some years ago it was estimated that the demand for steel approximately satisfied the equation p = 256 – 20x, and the total cost of producing x units of steel was C(x) = 176 + 56x. (The quantity x was measured in millions of tons and the price and total cost were measured in millions of dollars.) Determine the level of production and the corresponding price that maximize the profits. The maximum profit occurs at x = (million tons). The corresponding price is dollars per ton.
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