I=2 and D=5

Q1. Transportation problem (10 marks): Source Supply 1 2 4 Destination 2 3 3 4 5 3 3 D 11 17 4 I 1 1 2 3 Demand 10 15 21 1 3 6 12 a) State if the above transportation linear program problem is balance or not. b) Formulate this problem as a linear program. c) Find the initial BF solution for the above transportation table. Obtain an optimal solution and compare the resulting number for the transportation model of each of the following methods and state which one will give you the most minimum results. 1. Northwest corner rule. 2. Vogel's approximate method. 3. Minimum cost method