# calculus

posted by
**michelle**
.

1. (30 points) Consider a manufacturer whose total cost of producing x items is given by c(x)=10000+5x+1/9x^2.

a. What is the average cost function A(x)= c(x)/x?

b. How many items should the manufacturer produce in order to minimize average cost?

c. What is the smallest average cost?

d. Find C’(x).

e. When does C(x) have a critical point? What is the average cost when C(x) has a critical point?