(1) Maximize the following profit function by finding out

(a) the critical values (the output values);

(b) checking the second order conditions and

(c) the maximum values.

(I)()=2 + 1124.

(II)()=3/352+2000326.

(2) Minimize the average cost forthe following total cost function (TC) by finding out

(a) average cost function;

(b) the critical values (the output values) at which AC is minimized;

(c) checking the second order conditions; and

(d) the minimum average cost.

()=352+60

(3)Given the following total revenue function\(TR(Q)\)and the total cost function\(TC(Q)\), maximize profit\(\pi(Q)\)by following steps

(a) set up the profit function

()=()().

(b) the critical values (the output values) where the profit is at a relative extremum;

(c) checking the second order conditions; and

(d) the maximum profit value.

()=5900102;

()=2342+140+845.