A company that handles hazardous waste wants to minimize the shipping cost for shipments to a disposal center from five receiving stations it operates. The locations of the receiving stations and the volumes to be shipped daily are given in the below table: Location ( x, y ) Daily Volume ( in truck loads ) A (5.70,5.00) 15 B (4.00,7.70 ) 9 C (1.90,2.80 ) 18 D (2.10,5.20 ) 16 E (7.50, 6.30) 17
A company that handles hazardous waste wants to minimize the shipping cost for shipments to a disposal center from five receiving stations it operates. The locations of the receiving stations and the volumes to be shipped daily are given in the below table:
|
Location |
( x, y ) |
Daily Volume ( in truck loads ) |
|
A |
(5.70,5.00) |
15 |
|
B |
(4.00,7.70 ) |
9 |
|
C |
(1.90,2.80 ) |
18 |
|
D |
(2.10,5.20 ) |
16 |
|
E |
(7.50, 6.30) |
17 |
1. Which one of the following coordinate is closest to the optimal location using median method?
a) (4.00,5.20) b) (4.00,3.64) c) (2.60,5.20) d) (5.80,3.12)
2. Which one of the following coordinate is closest to the optimal location using gravity method?
a) (4.22,4.62) b) (5.91,6.16) c) (4.22,5.13) d) (5.28,5.13)
3. Which one of the following is closest to the total distance traveled (optimal objective function value) using Rectilinear distance measure for the optimal median solution?
a) 241 b)352 c)157 d)133
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