A firm can produce 400 units per week. If its total cost function is C = 300 + 1400x dollars and its total revenue function is R = 1800x – x² dollars, how many units, x, should it produce to maximize its profit?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
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Chapter4: Systems Of Linear Equations
Section4.3: Solve Mixture Applications With Systems Of Equations
Problem 159E: The manufacturer of a water bottle spends $5 to build each bottle and sells them for $10. The...
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A firm can produce 400 units per week. If its total cost function is C = 300 + 1400x dollars and its total revenue function is
R = 1800x – 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 400 units per week. If its total cost function is C = 300 + 1400x dollars and its total revenue function is R = 1800x – x² dollars, how many units, x, should it produce to maximize its profit? X = units Find the maximum profit.
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