Average Cost, given cost C(x) = x^2 - 3x + 625 for x units

[lilcherbear]

Last problem that I am struggling with...

The cost function for producing x items is C(x)=x^2-3x+625

How do I find the average cost function?
What is the minimum average cost?
What isthe marginal cost function?

Any help would be much appreciated. Thank you
Cherie

 

[stapel]

How do I find the average cost function?

If you have ten values, how do you find their average?

If you have forty-five values, how do you find their average?

With the above process in mind, how does integration relate to summation (that is, to addition)?

With the above process in mind, and using the answer to the integration question, by what might you divide, given an interval from zero to x?

What is the minimum average cost?

How do you find the minimum value of a function?

What isthe marginal cost function?

What is the definition of "marginal cost"?

If you get stuck, please reply with your answers to the above, along with a clear listing of your work and reasoning so far. Thank you!

Eliz.

 

[Deleted member 4993]

Last problem that I am struggling with...

The cost function for producing x items is C(x)=x^2-3x+625

How do I find the average cost function?
What is the minimum average cost?
What isthe marginal cost function?

Any help would be much appreciated. Thank you
Cherie

average cost:

\(\displaystyle Average \,cost = \frac{1}{x}\cdot\int{C(x) \,dx}\)