Problem $2.$ Eagle Manufacturing and Logistics $($EM

Problem $2.$ Eagle Manufacturing and Logistics $($EM&L$)$ previously used a $3$PL to provide central distribution functions to support ten retail outlets across the Midwest. EML managed is considering to bring the central distribution function in$-$house and needs to determine where to locate a regional distribution center to support the ten retailers $($see map below$).$ The projected transportation rates and volumes are shown in the following table. Your task is to use the appropriate heuristic to determine the location for the distribution center and total cost.

$\backslash$table$[[$Location$,$X$,$Y$,$V$,$R$,],[$Fargo$,$ ND$,40,99,3,800,$$$,2\mathrm{.}20],[$Sioux Falls, SD$,41,68,4,100,$$$,2\mathrm{.}10],[$Omaha$,$ NE$,46,46,5,200,$$$,2\mathrm{.}00],[$Kansas City, MO$,55,26,6,000,$$$,2\mathrm{.}00],[$Minneapolis$,$ MN$,66,81,4,500,$$$,2\mathrm{.}10],[$St Louis, MO$,88,29,5,500,$$$,2\mathrm{.}00],[$Chicago$,$ IL$,104,54,8,500,$$$,1\mathrm{.}90],[$Indianaplis$,$ IN$,117,36,7,000,$$$,1\mathrm{.}95],[$Detroit$,$ MI$,134,63,6,000,$$$,1\mathrm{.}95],[$Columbus$,$ OH$,139,41,4,900,$$$,2\mathrm{.}00]]$

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