Answer Happy

5.10 (Adapted from Srinivasan, 2010) Consider a supply chain network with three potential sites for warehouses and eight retailer regions. The fixed costs of locating warehouses at the three sites are given as follows: Site 1: $100,000 Site 2: $80,000 Site 3: $110,000 The capacities of the three sites are 100,000, 80,000, and 125,000 respec- tively. The retailer demands are 20,000 for the first four retailers and 25,000 for the remaining. The unit transportation costs (5) are given in Table 5.17: (a) Formulate a mixed integer linear program to determine the optimal location and distribution plan that will minimize the total cost. You must define your variables clearly, write out the constraints, explaining briefly the significance of each and write the objective function. Assume that the retailers can receive supply from mul- tiple sites. Solve using any optimization software. Write down the optimal solution. TABLE 5.17 Data for Exercise 5.10 R, R, R. R Site 1 5 4 Site 2 Site 3 2 45 R₂ 4
Constants Ki ANU ARSTE fined cast at site ($) un it transportation cost from capacity of warehouse at site lega Yetailer 20x i unit 40 F4 Q retailer that to (unik) اه استخدام قلم سبورة قابل للمس ху HEX EX 16.0
objective functim Min z= st. Const. (Capacity (demand const и см Худ - Собы (6 Si=30, 13 Xiv zo vija Σ Si Ki te EjXj Vi 0=1,2,3 + отко 641 не j = 1, 2, 3 ... 18 j=1,2,3,... ENES О 2