Example

$1$: Rectilinear minisum location problem $($ Week $8)$

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Six housing subdivisions within a city area are targeted for social services by a centralized recreational facility.

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The centroid locations $($in kilometers$)$ of the houses in the subdivisions and the number of houses $($in thousands$)$ in each subdivision aregiven in the table

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Where

should ththe new recreational facility be located such that the sum of the weighted rectilineardistances is minimized?