The following table is a transportation matrix showing the profit (5) per unit realized by shipping from Plant 1' to Distributor 3'. The objective is to maximize profit 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 8 27 23 520 Plant 2 24 - 11 300 Plant 3 15 14 17 210 Demand 380 370 200 - Let $55; = number units shipped from Plant 1' 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: Maximum Profit = $ H 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