Assembly facility would ship to distribution centers located in Seattle, Lubbock, Nashville, and Philadelphia. The locations of all of these cities on an x-y grid, outbound transportation costs on a ton per mile basis, and total tonnage are all contained in the table. Formulate and solve a model that will minimize the shipping costs to the super assembly center.

What is the approximate distance between Ogden and Seattle locations?

(A) 450 miles

(B) 350 miles

(C) 630 miles

(D) 1050 miles

Source/Markets Yn Transportation Quantity Xn Cost$/ton in Tons Mile (Fn) (Dn) Supply 1.1 650 700 1200 North Haverbrook Ogden 1.2 450 250 600 Springfield 1.4 400 250 825 Market Seattle 2.25 300 50 1200 Lubbock 2.25 200 450 300 Nashville 2.25 500 800 250 Philadelphia 2.25 500 950 1100