Warehouse $3($W$3)$ has $600$ tons. The company would like to arrange the shipping for the lowest cost possible, where the per$-$ton transit costs are as follows:

$\backslash$table$[[,$W$1,$W$2,$W $3],[$Customer A$,$$$7\mathrm{.}50,$$$6\mathrm{.}25,$$$6\mathrm{.}50$