A firm has monthly average costs, in dollars, given by C = 40,000/x + 300 + x where x is the number of units produced per month. The firm can sell its product in a competitive market for $2000 per unit. If production is limited to 200 units per month, find the number of units that gives maximum profit.x =  unitsFind the maximum profit.$

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section: Chapter Questions
Problem 17T
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A firm has monthly average costs, in dollars, given by

C = 40,000/x + 300 + x

where x is the number of units produced per month. The firm can sell its product in a competitive market for $2000 per unit. If production is limited to 200 units per month, find the number of units that gives maximum profit.
x =  units

Find the maximum profit.

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