2. Suppose that the Ethiopian ministry of agriculture imports soil fertilizer from Egypt, United Arab Emirates and Morocco each different amounts. These quantities of fertilizers enters to Ethiopia by four directions: port Djibouti, Berbera, Massawa, and Assab each with their own capacities million quintals. The unit costs associated with distributing this fertilizer are summarized in in the table below. To D₁ D₂ D3 D4 SS From 10 2 20 11 S₁ 15 12 7 9 20 S₂ 30 4 14 16 18 S₁ 15 DD 10 15 20 25 Based on the above minimization transportation problem with per unit cost, answer the questions below it. A. Does the problem balanced or not? If not balance it. B. Find the initial basic feasible solution using: i. NWC ii. LCM iii. VAM iv. Compare these results. B. Is the initial basic feasible solution obtained under VAM optimal? If not, find the optimal solution. C. Are the solutions obtained under i, ii, and iii feasible? D. Are the solutions obtained under i, ii, and iii degenerate?
