The state of Missouri has three major power-generating companies identified as 1, 2, and 3. During t

The state of Missouri has three major power-generating companies identified as 1, 2, and 3. During the months of peak demand, the Missouri Power Authority authorizes these companies to pool their excess capacity and to produce and distribute electricity to smaller independent power companies that do not have generators large enough to handle all the demand. The supply, up to the excess capacity, is distributed on the basis of cost per kilowatt-hour transmitted.
The table below contains the costs (in cents) per kilowatt-hour (kwh) of transmitting power from the major companies 1, 2, and 3 to each of four different small companies W, X, Y, and Z. Also shown in the table are the demand and capacity for power in millions of kilowatt-hours (Mkwh). FROM W X Y Z Excess Capacity (Mkwh) 1 12 cents 4 cents 9 cents 5 cents 45 2 8 cents 1 cent 6 cents 7 cents 55 3 1 cent 12 cents 4 cents 6 cents 50 Unfilled Demand(Mkwh) 40 20 50 20
The problem is to determine the best way to allocate the power, in millions of kilowatt-hours, from the major companies to the small independents so as to keep the total distribution costs to the lowest that is possible.
(NOTE: Unit costs in the table above are listed in units of cents/kwh. Capacity and demand are both in units of Mkwh. HINT: In your modeling, convert the unit costs to either cents/Mkwh or $/Mkwh.)
1.What special kind of LP problem is this?a. Is this problem balanced or not?   b. If it is unbalanced, which way is it unbalanced and by how much?