part $3(10$ points$)$

Assume now that company is considering opening three potential intermediate warehouses $($location

simultaneously plants and warehouses$).$ The company will build plants located at different potential sites,

store the products in the potential intermediate warehouses, from which it serves its customers orders.

There is a fixed cost to build and operate a warehouse. Warehouses have a capacity of $3000$ each. Best

Food has three warehouses located in Mekn$$s$,$ Safi and Marrakech. The fixed costs of the warehouses are:

$$1,200,000$ for Mekn$$s$,$ $$1,000,000$ for Safi and $$1,500,000$ for Marrakech.