Definition of the LP problem to solve

Now imagine that you are working for a company that needs to ship a product from different warehouses around the world to different countries. You have to hand the following:

• The quantities of product available in warehouses:

Figure 10.18 – Quantities of product available in warehouses

• The quantities of product required by countries:

Figure 10.19 – Quantities of product required by countries

• The shipping costs from each of the warehouses to all requesting countries:

Figure 10.20 – Costs from warehouses to countries

Your goal is to minimize your company's costs by meeting all customer demands from different countries.

Formulating the LP problem

As seen in the previous section, you must first formulate the problem mathematically. Let's use a couple of numerical indexes, i and j, to identify the quantities sent...