Formulate the lp to minimize the cost of meeting each city

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Reference no: EM131919090

Question

Powerco has three electric plants that supply the needs of four cities.

Each power plant can supply the following numbers of kilowatt- hours of electricity: plant-1 35 million, plant-2 50 million, plant- 3 40 million (see Table 1).

The peak power demeands in these cities in a certain time of the day are as follows: 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 electiricity must travel.

a) Formulate the LP to minimize the cost of meeting each city' s peak power demand.

From (USD)	City 1	City 2	City 3	City 4	Supply
Plant 1	8	6	10	9	35
Plant 2	9	12	13	7	50
Plant 3	14	9	16	5	40
Demand (Kwh)	45	20	30	30	-

Table 1: Shipping Costs, Supply and Demands

b) Suppose that in the Powerco problem the demand for city-1 reduced to 40 million kwh. Reconsider and evaluate the new problem.

c) Generate the optimal solution by using the starting solution either one of the methods.

Reference no: EM131919090

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