Question 5: Amazon is planning to open distribution centers in four cities: Jaipur, Hyderabad, Pune, and Raipur. Each distribution center can ship 10000 units/month. The monthly fixed cost of keeping each distribution center open is Rs. 400000 for Jaipur, Rs. 500000 for Hyderabad, Rs. 300000 for Pune, and Rs. 150000 for Raipur. There are four prominent customers. Customer 1 requires 8000 units per month, Customer 2 requires 7000 units per month, and Customer 3 requires 4000 units per month. The shipping costs per unit are shown below. (10 Marks) From/To Customer 1 Customer 2 Customer 3 Jaipur 200 400 500 Hyderabad 480 150 260 Pune 260 350 180 Raipur 240 500 350 Formulate the mathematical program for the problem to meet monthly demand at minimum cost. (i) If the Jaipur distribution center is opened, the Hyderabad distribution center must be opened (ii) At most 2 distribution centers can be opened (iii) At least 2 distribution centers should be opened (iv) Either Raipur or Hyderabad distribution center must be opened, but not both