The following table is a transportation matrix showing the profit ($) per unit realized by shipping from Plantz' 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. Let mig- = number units shipped from Plant 2' to Distributor 3' Solve the transportation problem and use the result to fill the boxes below. All answers are equally weighted. a) At optimal solution: {-3 H H II E-E || [\\D II Bios Maximum Profit = $ {-3 C H II m b) At optimal solution, how much unused capacity is available at each Plant? Slack at Plant 1 = units Slack at Plant 2 = C] units Slack at Plant 3 = units