Question 2 (a) Write the mathematical formulation for solving transportation cost problems defining all terms (b) The transportation costs for moving stone from three different mines to four mills are as described in the table below. Write the formulation for the minimization of the transportation cost (You must show all the steps) Mills Mines 1 2 Capacity 1 3 4 2 16 2 4 2 7 19 4 9 11 22 Demand 15 16 12 c) With a mind sketch ONLY describe the relationship among the 5Ms of manufacturing 4 3 6 3 3 6 14 Mines 1 4 Capacity 2 5 Mills 3 6 100 9 1 4 7 5 250 2 2 12 5 170 210 130 5 3 5 vo co 180 Demand (d) The table above presents the optimal solution of a transportation problem. By completing the appropriate column and row, determine (1) the demand of each mill (11) the capacity of the mines (111) total demand of the mills (iv) total capacity of the mines (V) show that a unique solution exist for this problem (e) Determine the transportation cost for the problem described in the table above. (1) What do you understand by Facility location and layout