Calculus
posted by joshua .
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?
Respond to this Question
Similar Questions

math,correction
The problem states: In planning for a new item, a manufacturer assumes that the number of items produced X and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost … 
Phoenix
In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost $10,000 to produce … 
Algebra
In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost $10,000 to produce … 
math
Help I can go this far and then lost. In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that … 
introcal
a company makes x toys daily at a cost of C(x)=125+30x+2(x to the power of 2/3) dollars. what daily production level will minimize the average cost? 
Math  average rate problems(check + help)
The total cost, c, in dollars of operating a factory that produces kitchen utensils is C(x)=0.5x^2+40x+8000, where x is the number of items produced in thousands. a)Determine the marginal cost of producing 5000itmes and compare this … 
quantitative analysis
consider a manufacture whose total cost of producing x items is given by c(x) = 10000 + 5x+1/9x^2 a) what is the average cost function of A(x) = c(x)/x? 
calculus
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? 
math
The average cost of manufacturing a quantity q of a good, is defined to be a(q) = C(q)/q. The average cost per item to produce q items is given by a(q) = 0.01q2 − 0.6q + 13, for q >0. (a) What is the total cost, C(q),of producing … 
math/economics in calculus
The average cost of manufacturing a quantity q of a good, is defined to be a(q) = C(q)/q. The average cost per item to produce q items is given by a(q) = 0.01q2 − 0.6q + 13, for q >0. I know that the total cost is 0.01q^30.6q^2+13q …