(25 points) Consider the transportation problem having the following parameter table: 1 Source 2 3 Demand Destination 1 2 4 Supply 3 7 4 5 2 4 2 2 4 3 5 3 3 3 2 Noowlawl The values given are costs to ship each item from each source to each destination. The objective is to minimize total cost. Use each of the following criteria to obtain an initial BF solution. In each case, interactively apply the transportation simplex method, starting with this initial solution, to obtain an optimal solution. For each method, explicitly state the minimum total costs and number of items shipped from each from each source to each destination. (a) (5 points) Northwest Corner Rule (b) (5 points) Vogel's approximation method (c) (5 points) Least Cost method (d) (5 points) Excel Solver (e) (5 points) Which of the above methods (Northwest Corner Rule, Vogel's, or Least Cost) do you think Solver uses? Why