The average cost per item to produce q items is given by
a(q) = 0.04q² - 1.2q+15, for q>0.
What is the total cost, C(q), of producing a goods?
C(q) =
What is the minimum marginal cost?
minimum MC =
(Be sure you can say what the practical interpretation of this result is!)
At what production level is the average cost a minimum?
q=
What is the lowest average cost? minimum average cost =
Compute the marginal cost at q = 15.
MC(15) =
How does this relate to your previous answer? Explain this relationship both analytically and in words.