4. Weighted Factor Rating Method Calculation
Weighted Factor Score for SGS Mall=
20x3+10x2+15x3+10x3+10x2+5x4+5x3+15x2+10x2=260
Weighted Factor Score For Central
Mall=20x4+10x3+15x4+10x4+10x3+5x2+5x2+15x3+10x3=335
So, the Central mall is the best site based on total weighted scores.
5. Load –Distance Method
Location (x,y) Population
(I)
Location 1 (3.5,4.5) Location 2 (4,4.5)
Distance
Load-distance
Distance
(d)
(d)
Load-
Distance
A (3.5, 4.5) 10 0+0=0 0 0.5+1=1.5 15
B (3, 4.5) 5 0.5+0=0.5 2.5 1+1=2 10
C
(4.5,5 ) 10 1+0.5=1.5 15 0.5+0.5=1 10
D (4, 5.5) 7 0.5+1=1.5 10.5 0+0=0 0
E (2.5,4 ) 2 1+0.5=1.5 3 1.5+1.5=3 6
Total 31 41
Summing the scores for all tracts gives a total load-distance score of 41 when the facility is located at (4,5.5)
versus a load-distance score of 31 at location (3.5,4.5). Therefore, the location A is a better location.
6. Centre of Gravity
Census
Tract
(x,y) Population (I) Lx Ly
A (3.5, 4.5) 10 35 45
B (3, 4.5) 5 15 22.5
C (4.5,5 ) 10 45 50
D (4, 5.5) 7 28 38.5
E (2.5,4 ) 2 5 8
Total 34 98 164
7. Calculation
Cx= Ʃ Dix Wi/ Ʃ Wi=98/34=2.88
Cy= Ʃ Dix Wi/ Ʃ Wi=164/34=4.82
The center of gravity is (2.88, 4.82). Using the center
of gravity as starting point, managers can now search
in its vicinity for the optimal location.