Calculus Help

Question

The cost of producing q items is C(q) = 1800 + 15q dollars. (Include units)

a. What is the marginal cost of producing the 100th item?

b. What is the average cost of producing the 100 items?

Answer 1

C = 1800 +5q

MC = C' = 5 dollars for 100th item or for Marginal Cost of any nth item

AC = C/q = 1800/q + 5

AC(100) = 1800/100+q = 18 +100 = 118 dollars for Average Cost of 100th item