# Given total cost TC=3q²+7q=12, evaluate the marginal cost and average cost if q=3.

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TC = 3 q² + 7 q + 12

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*

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

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

for q = 3,

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