14 . Indi Inc is thinking of opening + warehouses in four metropolitan areas in India Delhi , Mumbai , Kolkata , and Chennai . There is a fixed cost associated with oper - ating each warehouse for a week. It is 30, 0.010 rupees For Delhi , 40, 000 rupees For Mumbai , 50.000 rupees For Kolkata , and 20, 0010 rupees for Chennai . Each ware- house can ship a marimum 10. 000 units per week _ Indi Inc. has identified four regions in India with different demand requirements for each . The requirements For North , South , West , and East India are 5, 0.00, 6, 000, 4, 000, and 5, 000, respec- tively . The shipping cost per unit is shown below . NORTH SOUTH WEST EAST DELHI 180 350 250 280 MUMBAI 320 150 20.0 275 KOLKATA 180 250 100 CHENNAI 40 0 8:0 290 3.010 Also , the following requirements must be met . 2 . If Delhi is opened , Chennai must be opened . b . If Kolkata and Delhi are opened , Mumbai must not be opened . C. Either of Delhi or Mumbai must be opened , but not both . Formulate an integer linear program to supply demand at the lowest total cost