Table Demand Costs and Fixed Costs

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|$c$|$c$|$c$|\}$

$\backslash$hline $\backslash$multirow$\{2\}\{*\}\{$ Customer $\}$ & $\backslash$multicolumn$\{5\}\{|$c$|\}\{$ Residential Areas $\}\backslash \backslash$

$\backslash$cline $\{2-6\}$ & $\backslash (\backslash$mathbf$\{$l$\}\backslash )$ & $\backslash (\backslash$mathbf$\{2\}\backslash )$ & $\backslash (\backslash$mathbf$\{3\}\backslash )$ & $\backslash (\backslash$mathbf$\{4\}\backslash )$ & $\backslash (\backslash$mathbf$\{5\}\backslash )\backslash \backslash$

$\backslash$hline A & $120$ & $210$ & $180$ & $210$ & $170\backslash \backslash$

$\backslash$hline B & $180$ & $\backslash (*\backslash )$ & $190$ & $\backslash (*\backslash )$ & $150\backslash \backslash$

$\backslash$hline C & $100$ & $150$ & $110$ & $150$ & $\backslash (*\backslash )\backslash \backslash$

$\backslash$hline D & $\backslash (*\backslash )$ & $240$ & $195$ & $180$ & $150\backslash \backslash$

$\backslash$hline E & $60$ & $55$ & $50$ & $65$ & $70\backslash \backslash$

$\backslash$hline F & $\backslash (*\backslash )$ & $210$ & $\backslash (*\backslash )$ & $120$ & $195\backslash \backslash$

$\backslash$hline G & $180$ & $110$ & $\backslash (*\backslash )$ & $160$ & $200\backslash \backslash$

$\backslash$hline H & $\backslash (*\backslash )$ & $165$ & $195$ & $120$ & $\backslash (*\backslash )\backslash \backslash$

$\backslash$hline Fixed Cost & $200$ & $200$ & $200$ & $400$ & $300\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

Table Multiple Facilities of the Same Type $($Proportion Factor will be$50)$

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|\}$

$\backslash$hline Residential Areas & Demand & Coordinates $(\backslash (\backslash$mathbf$\{$x$\},\backslash$mathbf$\{$y$\})\backslash )\backslash \backslash$

$\backslash$hline $\backslash (\backslash$mathbf$\{1\}\backslash )$ & $200$ & $80,40\backslash \backslash$

$\backslash$hline $\backslash (\backslash$mathbf$\{2\}\backslash )$ & $15$ & $40,100\backslash \backslash$

$\backslash$hline $\backslash (\backslash$mathbf$\{3\}\backslash )$ & $100$ & $20,30\backslash \backslash$

$\backslash$hline $\backslash (\backslash$mathbf$\{4\}\backslash )$ & $90$ & $40,70\backslash \backslash$

$\backslash$hline $\backslash (\backslash$mathbf$\{5\}\backslash )$ & $80$ & $20,80\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

a$.$ Find the total cost of the operation.

b$.$ Determine the optimum location for the operation.

c$.$ Explain your answers briefly.