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1. The Ethiopian Electric Power Corporation (EEPCO) has three major power-generating companies (Fincha, Gilgel Gibe and Kuraz). During the months of peak demand, the Missouri Power Authority authorizes these companies to pool their excess supply and to distribute it to smaller independent power companies that do not have generators large enough to handle the demand. Excess supply is distributed on the basis of cost per kilowatt hour transmitted. The following table shows the demand and supply in millions of kilowatt hours and the costs per kilowatt hour of transmitting electric power to four in cities Adama, Bahir Dar, Hawassa & Mekelle.
FROM TO
Adama
Bahir Dar
Hawassa
Mekelle
Excess supply
Fincha
12¢
4¢
9¢
5¢
55
Gilgel Gibe
8¢
1¢
6¢
45
Kuraz
7¢
30
Unfilled power demand
40
20
50
130
A. Find Basic Feasible Solution by North Western Corner Method to find an initial transmission assignment of the excess power supply.
B. Then apply the MODI technique to find the least-cost distribution system.
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