Question

1. Curiously High Class, a company that handles wastage from restaurants in Selangor is trying to minimize the shipping cost for shipment to a disposal center from five receiving stations it operates. Given the locations of the receiving stations and the volumes to be shipped daily, determine the location of the disposal center.

Location of processing stations (x,y)	Volume tons per day
10, 5	36
4,1	13
4,7	28
2,6	38
8,7	43

Answer 1

Using the centroid method, the location of the disposal center is calculated as,

Cx = Sum of (Volume shipped per day x Xi) / Total volume shipped per day

Cy = Sum of (Volume shipped per day x Yi) / Total volume shipped per day

= 10 * 36 + 4 * 13 + 4 * 28 + 2 * 38 + 8 * 43 / 36 + 13 + 28 + 38 + 43

= 944 / 158 = 5.97

= 5 * 36 + 1 * 13 + 7 * 28 + 6 * 38 + 7 * 43 / 36 + 13 + 28 + 38 + 43

= 918 / 158 = 5.81

The disposal center should be (5.97, 5.81).

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