Optima problem: C = (20000y)e^(-y/10), for y > 0

[Guest]

I have a function:

C = 20,000*y*exp^(-y/10)
y>0

I'm trying to find the value of y that maximizes C. I know the answer is y = 10, but I can't seem to get there. Please help. Thanks.

 

[stapel]

A good start would be to differentiate. How far have you gotten in this process?

Thank you.

Eliz.

 

[Guest]

Actually, that's what I'm trying to do -- differentiate -- but haven't been able to set it up. I'm having trouble with the exp rules.

 

[galactus]

Use the product rule.

 

[stapel]

I'm having trouble with the exp rules.

The derivative of e^f(x) is f'(x)e^f(x).

Eliz.