Can we rewrite $\prod \frac{e^{y_i}}{y_i}$ in any way?

Question

I'm working out an optimization problem, and I want to find the minimal value of $$\prod \frac{e^{y_i}}{y_i}$$

How do I find it?

Answer 1

The problem sounds too generalised. I am not a pro at optimisation problems,but i think for finding a solution you have to define atleast some parameters like

1. the vector of y_i on which you are optimising
2. any discrete/continious function which defines the set of y_i,if so define the interval of y_i

Answer 2

Is there any condition on $y_i$? If no, then $y_i\to 0$ makes the expression tend to infinity, so there is no minimum on $\mathbb{R}$.