La Zacatecana is a company that distributes consumer products in three regions of the State of Zacatecas and wants to open warehouses in 3 cities (Fresnillo and Rio Grande) to meet current demand. From each warehouse, a maximum of 100 units per week can be shipped to the three different regions of the State. The fixed cost to operate the warehouses is $ 1,000.00 in Fresnillo, $ 1,500.00 in Villanueva and $ 1,000.00 in Rio Grande. The cost of sending a unit from each warehouse to each region is shown in the following table:

Weekly demands per region are: 50 units in region one, 30 units in region two, and 50 units in region three. All demands must be met at minimal cost while also complying with the following restrictions: 1. Two warehouses must be opened; 2. A warehouse should be opened in FresnillooRioGrande; 3. If Villanueva opens, it cannot openFresnillo

1. Formulate a model that minimizes the total cost. -- Verbal definition of: -Objective Function - Restrictions -Decision variables - Type of variables to use (positive, integer positive or binary) explains why -- Model

Desde Hasta ($/unidad) Regin 1 Regin 2 Regin 3 Fresnillo $ 20.00 $22.00 $20.00 Villanueva $20.00 $15.00 $22.00 Rio Grande $23.00 $20.00 $20.00 Desde Hasta ($/unidad) Regin 1 Regin 2 Regin 3 Fresnillo $ 20.00 $22.00 $20.00 Villanueva $20.00 $15.00 $22.00 Rio Grande $23.00 $20.00 $20.00