without excel

oblem 1) Consider a company with three potential sites for installing its facilities/warehouses and five -mand points. Each site has a yearly activation cost F, i.e., an annual leasing expense that is incurred using it, independently of the volume it serves. This volume is limited to a given maximum amount at may be handled yearly, Mj. Additionally, there is a transportation cost C, per unit served from facility the demand point i. These data are shown in the table below. 5 Customer (0) Annual Demand (d) 1 80 NN 3 250 4 160 270 180 Customer i 1 2 . 3 4 M 5 F 10 Facility) 1 2 3 4 6 9 5 4 7 wo 9.00 6 3 4 00 m 500 600 400 1000 1200 900 5 3 4 objective is to minimize the sum of annual facility activation costs and transportation costs. Formulate athematical program to identify the facilities to operate and the demand met by each facility. (10 pts)