Given that total revenue R(x)=32.5x−12x2 and average cost A(x)=1X2−13x+20+200         30                       X    WHERE X IS THE FIRM'S OUTPUT. (A) We have to derive the expression for the profit function π(x). B) IS THE RATE OF CHANGE OF PROFIT INCREASING OR DECREASING  WHEN THE OUTPUT LEVEL OF THE FIRM IS X=10  AND X=30 c) Determine the level of output for which profit is maximized .  what is the maximum profit.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Given that total revenue R(x)=32.5x−12x2 and average cost A(x)=1X2−13x+20+200

        30                       X   

WHERE X IS THE FIRM'S OUTPUT.

(A) We have to derive the expression for the profit function π(x).

B) IS THE RATE OF CHANGE OF PROFIT INCREASING OR DECREASING  WHEN THE OUTPUT LEVEL OF THE FIRM IS X=10  AND X=30

c) Determine the level of output for which profit is maximized .

 what is the maximum profit.

 

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