Posted by **joshua** on Tuesday, December 4, 2012 at 9:32am.

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?

## Answer this Question

## Related Questions

- calculus - 1. (30 points) Consider a manufacturer whose total cost of producing ...
- quantitative analysis - consider a manufacture whose total cost of producing x ...
- math - Help I can go this far and then lost. In planning for a new item, a ...
- math,correction - The problem states: In planning for a new item, a manufacturer...
- Algebra - In planning for a new item, a manufacturer assumes that the number of ...
- Phoenix - In planning for a new item, a manufacturer assumes that the number of ...
- Algebra I - In planning for a new item, a manufacturer assumes that the number ...
- Math - average rate problems(check + help) - The total cost, c, in dollars of ...
- calculus - In your new job as a strategic planner at BusCalcInc, you have been ...
- math - At a production level of 1400 items, the total cost is $7250 and the ...