Thread: How to rewrite an infinite product of a production function.

Hi! Well I've been struggling with this equation (production function):



I need to find Xi in order to subtitute it in the equation (because I have to find the "cost function" of that production function) (pd: I've concluded that the following is the "cost function" i need to minimize):



So I need to know how to deal with the product.

Thanks for your answers.

Hey Alm22.

Have you considered the log of f(x) or log(y)?

Minimizing the log of something is equivalent to minimizing that something.