Cost Fcn, Indefinite Int: marginal ave cost of x items is C'

[stephanie953]

Hi everyone. My math problem reads:

Cost Function. The marginal average cost of producing x digital sports watches is given by
(there is a bar over the C') C'(x) = 1000/x^2 (there is a bar over the C) C(100)=25

Where (bar over C) C(x) is the average cost in dollars. Find the average cost function and the cost function. What are the fixed costs.

I came up (bar over C) C(x) = 1000/x + 15 which the answer key says is right.

The answer key also shows C(x) = 15x + 1000 I am not sure how to get there. Can someone please help. Thanks.

 

[stapel]

What relationship does your book provide between "average cost function" and "cost function"? How did you use this relationship to work toward an answer?

Please be complete. Thank you!

Eliz.

 

[stephanie953]

It just gives a (bar)C'(x) = 1000/x^2 and then (bar)C(100) = 25 as the given information. And says where (bar)C(x) is the average cost in dollars. Find the average cost function and the cost function. Not sure how they are getting to the C(x) = 15x + 1000 in the answer key.