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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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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