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 2. Distributor 1 Distributor 2 Distributor 3 Supply Plant 1 19 15 23 450 Plant 2 27 13 550 Plant 3 12 21 22 430 Demand 470 410 480 Let @j = 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: C11 = C12 $13= C 21 T22 T 23 = C31 C 32 C 33 = Minimum Cost = $b) At optimal solution, how much unused capacity is available at each Plant? Slack at Plant 1 = C] units Slack at Plant 2 = C] units Slack at Plant 3 = C] units Submit