Question: Question No. 3 (10 Marks) Consider the following transportation Linear Programming problem where Xij indicates the quantities shipped from ith source to jth destination. Max

Question No. 3 (10 Marks) Consider the following

Question No. 3 (10 Marks) Consider the following transportation Linear Programming problem where Xij indicates the quantities shipped from ith source to jth destination. Max 8x2 + 4x12 + 11x1) + 7x4 + 8X1 + 3xy2 + 9X73 + 5X24 s.t. X1 + X12 + x) + X14 s 90 X21 + x2 + x3 + x24 s 50 X1 + X21 75 X 12 + X22 230 X13 + X2 2 55 X1 + X24 2 40 Xijro Answer the following questions: (a) Setup a proper table for the above problem for simplex transportation method. (b) Find the initial basic feasible solution using North-West corner method. (c) Use the feasible solution found in (b) above and work out the optimal shipping schedule. Show all the work and clearly write down the optimal shipping schedule and the value of the objective function

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