$($A$)$ Use the appropriate location procedure to determine the optimal coordinates of a new machine based on the following assumptions. $($Please show the details of your work; Not just the final answer$)$: Traffic pattern: Rectilinear Objective: Minimizing cost Coordinates of the existing machines $(5,2),(4,8),(10,12),(3,20),(7,7)$ Total weight of material to be moved between the new machine and the existing ones: $11000,27500,22000,3000$ and $17000$ pounds per week, respectively.$($B$)$ Calculate cost in distance$-$weight units.Considering about the reactiliner method it's objective is minimizing cost.Total weight $=11000+27500+22000+3000+17000=80500$Finding new machine location in weighted average method :X cordinate :X $=\{(11000$ x $5)+(27500$ x$4)+22000\backslash$times $10)9$ learn.bcit.caMachineWeights in pounds cordinates $($X$,$ Y$)111000(5,2)227500(4,8)322000(10,12)43000(3,20)517000(7,7)$