b$)$ The Burger Doodle restaurant chain purchases ingredients from four $(4)$ different food suppliers. The company wants to construct a new central distribution center to process and package the ingredients before shipping them to their various restaurants. The suppliers transport ingredient items in $40-$foot truck trailers, each with a capacity of $38,000$ pounds. The locations of the $4$ suppliers, A$,$ B$,$ C$,$ and D$,$ and the annual number of trailer loads that will be transported to the distribution center are shown in table $2$ below:

$\backslash$table$[[\backslash$table$[[$Supplier$\text{'}$s$],[$Location$]],x-$coordinate,$y-$coordinate,$\backslash$table$[[$Annual trailer$],[$loads $($W$)]]],[$A$,200,200,75],[$B$,100,500,105],[$C$,250,600,135],[$D$,500,300,60]]$

Table $2$

Burger Doodle wants to evaluate three different sites it has identified for its new distribution center relative to the four suppliers identified in table $2$ above. The coordinates of the three sites under consideration are as follows:

Site $1$: $x_1=360,Y_1=180$

Site $2$: $x_2=420,Y_2=450$

Site $3$: $x_3=250,Y_3=400$

Determine the:

i$.$ distances between the proposed sites $3)$ and each existing facility $($A$,$ B$,$ C$,$ & D$)$

ii$.$ load distance for each proposed site.