Powerco Example

Powerco has three electric power plants that supply the needs of four cities. Each power plant can supply some number of killowatt-hours (kwh) (see table). The peak power demands are also given in the table, as are the costs of sending 1 million kwh of electricity from a palnt to a city. Formulate a LP to minimize the cost of meeting each city's peak power demand.
City 1 City 2 City 3 City 4 Supply (million kwh)
Plant 1 $8 $6 $10 $9 35
Plant 2 $9 $12 $13 $7 50
Plant 3 $14 $9 $16 $5 40
Demand (million kwh) 45 20 30 30