A firm can produce only 1300 units per month. The monthly total cost is given by  C(x) = 500 + 200x  dollars, where x is the number produced. If the total revenue is given by  R(x) = 450x −  1 100x2  dollars, how many items, x, should the firm produce for maximum profit? x =  items Find the maximum profit.

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Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
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A firm can produce only 1300 units per month. The monthly total cost is given by 
C(x) = 500 + 200x
 dollars, where x is the number produced. If the total revenue is given by 
R(x) = 450x − 
1
100
x2
 dollars, how many items, x, should the firm produce for maximum profit?
x =  items

Find the maximum profit.
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