n one of the countries, there is a boom in low grade iron ore mining. The ore, is being mined from three pits and is transported to four processing centres. The table below gives the distance in kilometers from each of the pits to each of the processing centres. Processing Centres W X Y Z Pits A 2 3 5 4 B 3 5 5 7 C 7 8 5 9 Pit A can produce 80 tons per day, B can produce 30 tons per day while C can produce 50 tons per day. Processing Centre W can handle 40 tons per day, X can handle 30 tons per day, Y can handle 50 tons and Z can handle 40. Required a) b) c) d) e) f) g) h) Set up the above as a linear programming problem Using Excel determine the optimal solution to the LP problem Beginning with the Northwest corner rule, find the optimal solution (You must provide all tableaus). Beginning with the VAM, find the optimal solution (You must provide all tableaus). Using the least cost method, find the optimal solution (You must provide all tableaus). Using MODI, find the optimal solution (You must provide all tableaus) The government has notified the mining company that it cannot use bridge on the route from pit A to Processing Centre Z. Using the Northwest corner as the starting point, what is the optimal solution if this route is not allowed? Processing Centre Z has experienced a breakdown and no processing can take place. Using VAM, determine the optimal solution.