The following table is a transportation matrix showing the cost (5) 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 16 11 23 440 Plant 2 26 10 600 Plant 3 8 17 18 450 Demand 510 380 550 Let Tyj - number units shipped from Plant i to Distributor Solve the transportation problem and use the result to fill the boxes below All answers are equally weighted. a) At optimal solution: T 11 F12 - 13 C21 22 C31 C32 Minimum Cost b) At optimal solution, how much unused capacity is available at each Plant? Slack at Plant 1 units Slack at Plant 2 units Slack at Plant 3 units Submit