Inventory Control Problem: Formulation Details

$2$ points possible $($graded$)$

Recall the formulation of a basic inventory control problem:

According to the formulation above, how many decision variables are there in this inventory control model?

unanswered

Which of the following statement$($s$)$ is$/$are true about this inventory control model?

We need to calculate the expectation in the objective function because the order amounts evolve over time.

We need to calculate the expectation in the objective function because there is uncertainty in the demand.

For a two$-$year$-$long decision, the only thing we need to change for the objective function is the summation bound from $12$ to $24.$

The optimal decision $($the set of optimal values of for all $)$ is determined once the initial inventory is fixed.

The optimal decision $($the set of optimal values of for all $)$ depends on the initial inventory.

An admissible set for the order can be $.$

An admissible set for the inventory might be $.$