A restaurant has the resources to set up two food processing facilities on " " Problem #1 (20 points), the - to manufacture and sell frozen lunch and dinner. One of the tcethe capacity than the other. Management already decided that the two facilities will US-66, where there is substantial traffic. Assume no positive Oregon-Washington distributed on the US-66 and competition based on distance from the customer. Where should the facilities be located on this highway segment? Hint: You may use Excl be located on a 10 km segment of the externalities, demand uniformly Solver. Problem#2(30points n the table. The super assembly facility would ship to distribution centers located in S ). A manufacturer of cat towers wishes to locate a super assembly facility to mee fastener their cat tower assembly needs for the next millennium. Currently, carpet, cylinders, yarn and are purchased in bulk from suppliers in North Haverbr ook, Ogden, and Springfield in the quantities show eattle, Lubboc Nashville, and Philadelphia. The locations of all of t hese cities on an X-Y grid, transportation costs on ton per mile basis, and total tonnage are all contained in the table below Transportation Quantity Sources/Markets Cost $/ton mile in Tons (Dn) (Fn) Supp 650 450 400 700 250 225 1,200 600 825 orth Haverbrook Ogden Springfield Market eattle ubbock ashville 2.25 2.25 2.25 2.25 300 200 500 500 50 450 800 950 1,200 300 250 1,100 hiladelphia