Eskom has 3 electric power plants that supply the needs of 4 cities. Each power plant can supply the following numbers of kilowatt-hours (kwh) of electricity: plant 1 –35 million; plant 2 –50 million; plant 3 –40 million (see Table 1). The peak power demands in these cities, which occur at the same time (2pm), are as follows (in kwh): city 1 –45 million; city 2 –20 million; city 3 –30 million; city 4 -30 million. The costs of sending 1 million kwh of electricity from plant to city depend on the distance the electricity must travel. Formulate an LP to minimize the cost of meeting each city’s peak power demand. Fully define your variables.
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