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## Answers

average cost function = TC / q = 3 q + 7 + 12/q

for q = 3, it is 20

marginal cost function = d (TC)/dq = 6 q + 7

for q = 3, it is 25..

Actually this method is quite good for large values of q.

marginal cost function in another way:

MC(q) = TC(q) - TC(q-1) = 3[q² - (q-1)²] + 7 [q - (q-1)]

= 6 q - 3 + 7 = 6 q + 4

MC(3) = 22