LP$\mathrm{.}04$ A fertilizer manufacturer has to fulfill supply contracts to its two main customers $(610$ tons to Customer A and $790$ tons to Customer B$).$ It can meet this demand by shipping existing inventory from any of its three warehouses. Warehouse $1($W$1)$ has $390$ tons of inventory on hand, Warehouse $2($W$2)$ has $460$ tons, and Warehouse $3($W$3)$ has $570.$ The company would like to arrange the shipping for the lowest cost possible, where per$-$ton transit costs are as follows:

W$1$ W$2$ W$3$

Customer A $7\mathrm{.}506\mathrm{.}256\mathrm{.}40$

Customer B $6\mathrm{.}656\mathrm{.}957\mathrm{.}90$

What is the lowest possible shipping cost?LP$\mathrm{.}04$ A fertilizer manufacturer has to fulfill supply contracts to its two main customers $(610$ tons to Customer A and $790$ tons to Customer B$).$ It can meet this demand by shipping existing inventory from any of its three warehouses. Warehouse $1($W$1)$ has $390$ tons of inventory on hand, Warehouse $2($W$2)$ has $460$ tons, and Warehouse $3($W$3)$ has $570.$ The company would like to arrange the shipping for the lowest cost possible, where per$-$ton transit costs are as follows:

W$1$ W$2$ W$3$

Customer A $7\mathrm{.}506\mathrm{.}256\mathrm{.}40$

Customer B $6\mathrm{.}656\mathrm{.}957\mathrm{.}90$

What is the lowest possible shipping cost?

Preview $($round to the nearest whole number$)$

How much inventory will be shipped from warehouse $2$ to customer A$?$

Preview $($round to the nearest whole number$)$

How much inventory will be shipped from warehouse $3$ to customer A$?$

Preview $($round to the nearest whole number$)$

How much inventory will be shipped from warehouse $3$ to customer B$?$