Whirlpool Inc. anticipates refrigerator denands for the following regions:

South: $180,000$

Midwest $120,000$

East: $110,000$

West $100,000$

Logistics Directors are designing the mannfacturing network and they have selected four potential plant locations: NY$,$ ATL, CHI, and SD$.$ These potential plant sites could have capacities of either $200,000$ or $400,000.$

The fixed costs, and the cost of mamufacturing and transporting a refrigerator is listed in the table below.

$\backslash$table$[[,$New York,Attante,Chleago,San Diego$],[\backslash$table$[[$Annual fixed cost of$],[200,000$ plant$]],$$$6$ million,is $5$ milion,$$5\mathrm{.}6$ million,$$6\mathrm{.}1$ milion$],[\backslash$table$[[$Annual faed cost of$],[400,000$ plant$]],$$$10$ milion,$$9\mathrm{.}2$mlion,$$9\mathrm{.}3$ million,$$10\mathrm{.}2$ million$],[$East$,$$$211,3232,$$$238,$$$299$