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. Distributor 1 Distributor 2 Distributor 3 Supply Plant 1 16 15 23 510 Plant 2 --- 26 14 590 Plant 3 11 20 21 410 Demand 530 390 540 -- 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. a) At optimal solution: x11 = x21 x31 | x12 = x13 = = x22 x23 x33 x32 Minimum Cost = $ ||