A Major Waste Management Company in the country wants to minimize the transporta
ID: 338308 • Letter: A
Question
A Major Waste Management Company in the country wants to minimize the transportation cost for their trucks to disposal center from five receiving stations with coordinates in the table 1 below. Assume a leaner relationship between volumes transported and the transportation costs (no premium charges).
Location of waste
(x, y)
Volume of waste (tons per day)
10, 5
26
4, 1
9
4, 7
25
2, 6
30
8, 7
40
(a) Using the center of gravity method and the information displayed in the table 1 above, determine the location for siting the disposal center.
(b) Assume that the estimated volume of waste (tons per day) transported from five receiving stations are the same; determine the location for siting the disposal center.
Location of waste
(x, y)
Volume of waste (tons per day)
10, 5
26
4, 1
9
4, 7
25
2, 6
30
8, 7
40
Explanation / Answer
A Major Waste Management Company in the country wants to minimize the transportation cost for their trucks to disposal center from five receiving stations with coordinates in the table 1 below. Assume a leaner relationship between volumes transported and the transportation costs (no premium charges).
Location of waste
(x, y)
Volume of waste (tons per day)
10, 5
26
4, 1
9
4, 7
25
2, 6
30
8, 7
40
(a) Using the center of gravity method and the information displayed in the table 1 above, determine the location for siting the disposal center.
(b) Assume that the estimated volume of waste (tons per day) transported from five receiving stations are the same; determine the location for siting the disposal center.
Location of waste
(x, y)
Volume of waste (tons per day)
10, 5
26
4, 1
9
4, 7
25
2, 6
30
8, 7
40
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