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.