Cost Functions

[galluccia]

Suppose that the cost function for a product is given by C(x)=.002x³+6x+9, 125.
Find the production level (i.e, value of x) that will produce the minimum average cost per unit C(x).

The production level that produces the minimum average cost per unit is X=



__________________________________
Your help would be greatly appreciated!

 

[srmichael]

So what have you tried so far? This is an optimization problem. What have you learned to do to solve these kinds of problems?

 

[renegade05]

Suppose that the cost function for a product is given by C(x)=.002x³+6x+9, 125.
Find the production level (i.e, value of x) that will produce the minimum average cost per unit C(x).

The production level that produces the minimum average cost per unit is X=



__________________________________
Your help would be greatly appreciated!

I don't get your question. What is the ,125 ?

Also, does this question have a domain restriction? I am assuming the production level has to be greater than zero?

The way you have your question it is somewhat trivial as well. It is obvious that a min will occur when x=0 , because as soon as you go more than that you are adding to the 9. That is if x greater than or equal to zero of course.