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SaskPower has three electric power plants that supply the needs of Regina, Estevan, Swift Current, and Moose Jaw. Each power plant can supply the following numbers of kWh of electricity: plant 1:35 million; plant 2: 50 million; and plant 3: 40 million. The peak power demands in these cities as follows (in kWh): Regina: 45 million, Moose Jaw: 20 million, Estevan: 30 million, and Swift Current: 30 million. The costs of sending 1 million kWh of electricity from the plant to the city is given in the table below. Formulate a transportation problem to minimize the cost of meeting each city's peak power demand. Regina Swift Current Estevan Moose Jaw $6.0 $8.0 $10.0 $9.0 Plant 1 $13.0 $12.0 $7.0 Plant 2 $9.0 $5.0 $14.0 $16.0 Plant 3 $9.0 (15) (a) Use Vogel's or penalty method to determine the cost. (b) Use Vogel's or penalty method solution as the starting basic feasible solution and determine the optimal solution or optimal cost. (20)