OPERATIONS RESEARCH ASSIGNMENT 3 1. Cement is produced and stored in three towns. Cement is supplied from the warehouses to cement markets in four cities with the following demand. Warehouse location Daily Production (t) Market Location Daily Demand (t) Accra 150 Sunyani 130 Takoradi 210 Bibiani 70 Tema 320 Obuasi 180 Tarkwa 240 The following transportation costs per tonne have been determined. From To Sunyani Bibiani Obuasi Tarkwa Accra Takoradi Tema $14 9 16 18 11 8 7 16 16 12 10 22 However due to driver's strike, transportation from Takoradi to Obuasi is presently prohibited. a. Set up a transportation tableau for this problem and determine the initial solution. b. Determine the optimal transportation schedule. c. Are there multiple optimal solutions? Explain. Identify the alternate solutions if any. 2. A diesel storage and transportation company has three depots: depot 1, depot 2 and depot 3 from which it supplies diesel to two open pit mines: mine A and Mine B. The monthly storage capacity of depots 1, 2 and 3 are 400 barrels, 300 barrels and 500 barrels respectively. The monthly diesel requirements (demands) of Mine A, Mine B and Mine C are 320, 480 and 280 barrels respectively. The cost ($) of transporting a barrel of diesel from each depot to each mine is given in table 3: Depot Mine A Mine B Mine C 1 9 10 15 2 8 6 12 3 8 14 10 Using the transportation method determine the number of barrels of diesel to transport from each depot to each mine in order to minimise total transportation cost. What is the minimum total cost of transportation? Solve the following problems using the Simplex Method and Two Phase Simplex Method.