Assignment:
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. The peak power demands 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 electricity must travel
a) Formulate the LP to minimize the cost of meeting each city speak 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: 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.