A Major Waste Management Company in the country wants to minimize the transportation cost for their...

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General Management

A Major Waste Management Company in the country wants tominimize the transportation cost for their trucks to disposalcenter from five receiving stations with coordinates in the table 1below. Assume a leaner relationship between volumes transported andthe 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 informationdisplayed in the table 1 above, determine the location for sitingthe disposal center.
(b) Assume that the estimated volume of waste (tons per day)transported from five receiving stations are the same; determinethe location for siting the disposal center.

Answer & Explanation Solved by verified expert

3.6 Ratings (586 Votes)

Answer to question a Let location of the disposal center P Q Sum of volume per day x P Sum Location of X x Corresponding volume Or 26 9 25 30 40 x P sum 10 x26 4 x 9 4 x 25 2 See Answer

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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