The following table is a transportation matrix showing the cost (5) per unit of shipping from Plant 1' to Distributor 3'. The objective is to minimize shipping costs while meeting the demand placed by each Distributor. There is no shipment between Plant 2 and Distributor 3. _ Simply Let 3:55; = number units shipped from Plant 72 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: Minimum Cost = $ [3 b) At optimal solution, how much unused capacity is available at each Plant? Slack at Plant 1 = l:] units Slack at Plant 2 = C] units Slack at Plant 3 = [3 units