A school district is considering four locations for a new high school. There are four factors the district is considering (cost of land, distance to students, land size, and traffic flow). The higher the factor score, the better

The district would like to compare results using two weighting systems. The first system would give each factor equal weight and the second would give the factors weights of .4, .2, .1, and .3 respectively. Use the factor rating method to determine which location is best for each weighting system. (Note that the weights for system 1 can be anything, as long as they're equal.)

Factor W(1 ) W(2 ) A B C D
Cost of Land 1 .4 10 20 25 5
Distance to Students 1 .2 30 25 15 20
Land Size 1 .1 5 10 20 40
Traffic Flow 1 .3 20 5 15 30


Applying the factor rating method gives the following results:

Site W(1 ) W(2 )
A 65 16.5
B 60 15.5
C 75 19.5
D 95 19

Thus the district should select site D under W(1 ) and site C under W(2 ).

Business

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