A firm can produce 100 units per week. If its total cost function is C = 600 + 1200x dollars and its total revenue function is R = 1300x - x² dollars, how many units, x, should it produce to maximize its profit? x = units Find the maximum profit. $

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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A firm can produce 100 units per week. If its total cost function is C = 600 + 1200x dollars and its total revenue function is R = 1300x – x2 dollars, how many units, x, should it produce
to maximize its profit?
X =
units
Find the maximum profit.
Transcribed Image Text:A firm can produce 100 units per week. If its total cost function is C = 600 + 1200x dollars and its total revenue function is R = 1300x – x2 dollars, how many units, x, should it produce to maximize its profit? X = units Find the maximum profit.
Expert Solution
Step 1

Profit = Revenue - Cost 

P(x)=(1300x-x^2)-(600+1200x)

P(x)=-x^2+100x-600

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