A company has three manufacturing plants, all making the same product. There are three outlets that require the product. One of the plants can only ship to certain destinations. Plants 1, 2 and 3 produce 20, 20 & 20 items respectively per day. Plant 1 can only ship to outlets 1&3 with unit shipping costs of 1 & 8 respectively. Plant 2 can ship to all three outlets with unit shipping costs of 2,4 & 2 respectively. Plant 3 can ship to all three outlets with unit shipping costs of 8,1 & 2 respectively. The three outlets require 15, 20 and 15 items per day respectively. There is an excess in production capacity. (i) Write down a transportation tableau with supplies, demands and costs specified so that an optimal solution will provide the lowest cost shipping schedule. (Note that supply does not equal demand so a dummy demand with zero shipping costs is needed. Assign a "large" positive cost N to the forbidden link.) (ii) Use the NW Corner Method (NWCM) to find an initial feasible tableau. (III) Use the SCEM method to find an initial feasible tableau. (iv) Calculate the costs of the two starting solutions. Which is better? A company has three manufacturing plants, all making the same product. There are three outlets that require the product. One of the plants can only ship to certain destinations. Plants 1, 2 and 3 produce 20, 20 & 20 items respectively per day. Plant 1 can only ship to outlets 1&3 with unit shipping costs of 1 & 8 respectively. Plant 2 can ship to all three outlets with unit shipping costs of 2,4 & 2 respectively. Plant 3 can ship to all three outlets with unit shipping costs of 8,1 & 2 respectively. The three outlets require 15, 20 and 15 items per day respectively. There is an excess in production capacity. (i) Write down a transportation tableau with supplies, demands and costs specified so that an optimal solution will provide the lowest cost shipping schedule. (Note that supply does not equal demand so a dummy demand with zero shipping costs is needed. Assign a "large" positive cost N to the forbidden link.) (ii) Use the NW Corner Method (NWCM) to find an initial feasible tableau. (III) Use the SCEM method to find an initial feasible tableau. (iv) Calculate the costs of the two starting solutions. Which is better