The following table is a transportation matrix showing the cost ($) per unit of shipping from Plantito Distributorj. 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.

Distributor 1 Distributor 2 Distributor 3 Supply

Plant 1. 9 22. 24. 430

Plant 2. 14. 10 ..... 360

Plant 3. 18. 12. 13 220

Demand 400 390 190. ---

Letxij= number units shipped from Plantito Distributorj

Solve the transportation problem and use the result to fill the boxes below.

All answers are equally weighted.

a) At optimal solution:

x11=

x12=

x13=

x21=

x22=

x23=

x31=

x32=

x33=

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