Given that total revenue R(x)=32.5x−12x 2 and average cost A(x)= 1 X 2 −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...

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.