Maximize the following total revenue TR and total profit functions by (1) finding the critical value(s),

Maximize the following total revenue TR and total profit π functions by (1) finding the critical value(s), (2) testing the second-order conditions, and (3) calculating the maximum TR or π.

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(a) TR = 96Q - 202 (1) TR'96-4Q = 0 Q24 critical value (2) TR"-4 <0 concave, relative maximum (3) TR = 96(24)-2(24) = 1152 (b) = -Q+250-12 (1) -2Q+25=0 Q = 12.5 critical value