Question

Question 2 (10 marks) A sudden strike in an airline company has left its fleet of 30 jumbo jets in three cities as follows: 8 in city A, 9 in city B, and 13 in city C. An early settlement of the dispute is expected and to start the operations afresh, the aircraft will be required at cities D, E, F, and G as follows: 3 in city D, 9 in city E, 8 in city F, and 10 in city G. The distances in hundreds of kilometers between the cities is given as follows. The aim is to determine the allocation of planes so that the total distance (in kilometers) travelled is a minimum 12 18 14 15 16 9 City A City B City C 4 10 8 20 35 19 Formulate the transportation simplex tableau for this problem. (3 marks) simplex tableau. (1 mark) mark) transportation problem. (5 marks) i. ii. Give a reason of why dummy variables are not needed for this transportation iii. Obtain initial basic feasible solution using the Northwest corner method. (1 iv. Solve this problem using the streamlined simplex method for the

Answer 1

A 4 2 0 is 12 8 35 68 B io 141 1ろ o30/3o 1어 9 3 This s a balanced transportatan 80 so blemHenu no dammy variablus are ncluded Northwest corne기 Hethod Initial basic Beasibe solutian D E F G 5 9413 8 10 3 the total transportation cost 124 100+/40+80+27+)46 499