- The Following Table Is A Transportation Matrix Showing The Cost Per Unit Of Shipping From Plant I To Distributor J 1 (288.67 KiB) Viewed 82 times
The following table is a transportation matrix showing the cost ($) per unit of shipping from Plant i to Distributor j. The objective is to minimize shipping costs while meeting the demand placed by each Distributor. There is no shipment between Plant 2 and Distributor 1. Plant 1 Plant 2 Plant 3 Demand 11 = Distributor 1 Distributor 2 Distributor 3 Supply 17 16 22 400 26 13 550 18 21 400 390 500 Let xij = number units shipped from Plant i to Distributor j Solve the transportation problem and use the result to fill the boxes below. All answers are equally weighted. X21 = a) At optimal solution: X31 = --- Slack at Plant 1 = 10 410 Slack at Plant 2 = Slack at Plant 3 = Submit Question X12 = Minimum Cost = $ X22 = x32 = b) At optimal solution, how much unused capacity is available at each Plant? units units X13 = units X23 = X33 =