From each of the following total cost TC functions, (1) find the average cost AC function, (2) the critical value at which AC is minimized, and (3) the minimum average cost.

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TC (1) AC = = (a) TC2Q 120 + 2250 = - 203-1202+2250 = 20 - 120 +225 (2) = AC' 4Q 12=0 - Q=3 convex, relative minimum AC" = 4> 0 (3) AC(3)=2(3) - 12(3) +225 = 207 (b) TC = Q - 160 + 450Q Q3-160+450Q (1) AC = == Q - 16Q+450 Q (2) AC' 20-16=0 = AC" = 2>0 Q=8 convex, relative minimum (3) AC = (8)216(8)+450 = 386