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1. A company wishes to transport goods from three supply points to four demand points. The per unit costs, supply point capacities and demand point requirements are: Total Demand 1 Demand 2 Demand 3 Demand 4 capacity Supply 1 4 3 + a 7 8 150 Supply 2 5 3 + b 3 2+ C 180 + d Supply 3 2 3 6 9 100 + e Total 90 95 80 105 Demand Where: a = 2, b = 0, c = 2, d = 8 and e = 9. a) Formulate this problem algebraically as a balanced transportation problem to minimise the total cost. b) Give the tabular form of your resulting balanced transportation model and find a basic feasible solution using the North-West Corner method. Give possible advantages and disadvantages of the North-West Corner method. c) Use the transportation simplex method, starting from your solution in b), to find an optimal solution d) From your findings, make recommendations, in non-technical language, to the company with regards to what they should do. You should include possible disadvantages as well as advantages of using the solution you have found in c)