Find (1) the marginal and (2) the average functions for each of the following total functions.

Evaluate them at Q = 2 and Q = 4.

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(a) TC Q+9Q+16 dTC (1) MC = = 20 +9 dQ MC(2)2(2)+9 = 13 MC(4)=2(4)+9=17 TC (2) AC= =Q+9+ Q AC(2)(2)+9+ 16 - = 2 16 AC(4) (4)+9+ = - 4 16 60 19 = 17 Note: When finding the average function, be sure to divide the constant term by Q. (b) (1) MR = dTR dQ =24-20 TR = 24Q - Q TR (2) AR = 24-Q MR(2) 24 2(2) = 20 = MR(4) 24 2(4) = 16 == AR(2) 24 2 = 22 - AR(4) = =24-4=20 (c) =-Q+75Q - 12 12 (1) M (2) = = -20 +75 A= = Q Q+75- Q dQ 12 M(2)-2(2) + 75 = 71 M(4)-2(4)+75 = 67 (2)(2)+75 - = 67 2 A(4)(4)+75- 12 - = 68 4