Question

Weight W X Y Z
Business services 1 7 9 5 4
Community services 1 5 7 6 7
Real estate cost 1 7 3 8 6
Construction costs 1 8 6 6 5
Operating costs 2 5 4 7 6
Business taxes 1 6 9 6 4
Transportation costs 2 8 6 7 8
Total 9
Weighted sum 59 54 59 54
Weighted average 6.56 6 6.56 6

Key Term: Factor-rating method

35) A telecommunications firm is planning to lay fiber optic cable from several community college distance learning sites to a central studio, in such a way that the miles of cable are minimized. Some locations require more than one set of cables (these are the loads). Where should the studio be located to accomplish the objective?


College Map Coordinate (x, y) Load
A (2,10) 3
B (6,8) 2
C (4,9) 4
D (9,5) 1
E (8,1) 3
F (3,2) 2
G (2,6) 1

Answer: This is a center-of-gravity problem, even though it is not about shipping tangible items. The center of gravity is at coordinates X = 4.69, Y = 6.25

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