Question

The state of Missouri has three major power-generating companies (A, B, and C)


The state of Missouri has three major power-generating companies (A, B, and C). 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 cost per kilowatt hour of transmitting electric power to four small companies in cities W, X, Y, and Z: 


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Answer #1
from/to W X Y Z EXCESS SUPPLY
A 12(40) 4(15) 9(0) 5(0) 55-40=15=0
B 8(0) 1(5) 6(40) 6(0) 45-5=40=0
C 1(0) 12(0) 4(10) 7(20) 30-10=20=0
UNFILLED POWER DEMAND 40=0 20-15=5=0 50-40=10=0 20=0 130

USE NORTHWEST CORNER METHOD-

TOTAL COST=

12*40+4*15+1*5+6*40+4*10+7*20=925

*THIS IS NOT EXCEL VERSION.

To I from A W X Y Z Supply 402 4195 ss = 15- IX B sil1 X z 6 6 Sopply 4s - Yo Step I cgk 4 735 C bil 12 4 7 30 Demand 40 oso

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