Noble Amazon sells books online. Management is trying to determine the best sites for the company$$s warehouses. The five potential sites under consideration are listed in the first column of the table below. Most of the sales come from customers in the United States. The average weekly demand from each region of the country, the fixed cost per week of each warehouse if it is operated, and the maximum capacity of each warehouse $($if it is operated$)$ are shown in the following table. Average Shipping Cost $($$$/$book$)$ Southwest Midwest Southeast Northeast $$3\mathrm{.}50$ $$4\mathrm{.}80$ $$6\mathrm{.}80$ $$5\mathrm{.}75$ $$2\mathrm{.}30$ $$3\mathrm{.}40$ $$5\mathrm{.}25$ $$6\mathrm{.}00$ $$3\mathrm{.}25$ $$2\mathrm{.}85$ $$4\mathrm{.}30$ $$4\mathrm{.}75$ $$6\mathrm{.}05$ $$4\mathrm{.}30$ $$3\mathrm{.}25$ $$2\mathrm{.}75$ $$5\mathrm{.}85$ $$4\mathrm{.}80$ $$2\mathrm{.}10$ $$3\mathrm{.}5012,0009,00014,00017,000$ Noble Amazon wants to distributed