Problem Statement

Consider the Steel Production Problem formulated in the lab preparation materials.

Fabricating steel slabs is not a single$-$week operation, but requires longer$-$term planning.

We want to plan the production for the next

weeks, rather than for a single week.

Assume that you can sell everything you produce.

Some of a week's production can be placed in inventory, for sale at any later week. There is an inventory fee per ton per week.

The following information is available and organized in various tables:

Table $1$: Available factory time $($hrs$)$ per week

Table $2$: Production rate $($ton$/$hrs$),$ initial inventory $($ton$),$ production cost $($$$/$ton$),$ and inventory cost $($$$/$ton$)$ for each product.

Table $3$: Revenue $($$$/$ton$)$ for each product for each week.

Table $4$: Production capacity $($ton$)$ for each product for each week.

Formulate an optimization problem that can be used to maximize the total profit.

Create a new $.$mod, $.$dat, and $.$run file to reflect the changes made to the Steel Production Problem