There is transportation problem with 4 supply cities and 5 demand cities. The supply capacities of 4 cities are 100,150,200,250. The demands of 5 cities are 150, 175,175,100,100. The transportation costs per unit product, depending of the supply cities and demand cities are

	Demand 1	Demand 2	Demand 3	Demand 4	Demand 5
Supply1	1437	844	1920	2230	675
Supply2	1991	1886	2500	3036	1539
Supply3	1050	1092	1500	2112	1390
Supply4	801	242	1150	1425	1332

1. Implement the cplex model.
2. There is an additional contract for each demand city. If a unit demand is not met in any demand city , there is a punishment fee for each city. The punishments fees are $900, $1000, $1500, $2200, $1400 respectively per each unit of unmet demand. Show how you will change your cplex model to solve this new extended problem. You may only change the dat file of your model!