problem is$.$ The transportation problem seeks to determine the transportation schedule of shipping a single product from a number of sources $($plants$)$ to a number of destinations $($warehouses$)$ so that the total transportation cost is minimized.

The parameters of the transportation problem include:

Level of supply at each source; i$.$e$.,$ the capacity of each plant $($denoted by Si$).$

Amount of demand at each destination $($denoted by Dj$).$

The cost per unit of transporting the product from each source to each destination, or warehouse to plant, represented by Cij.

Use POM$-$QM to find the optimal transportation schedule by solving the above LP problem.