Assignment:
A manufacturer of cat towers wishes to locate a super assembly facility to their cat tower assembly needs for the next millennium. Currently, carpet, cylinders, yann are purchased in bulk from suppliers in North Haverbrook, Ogden, and Springfieid in the quantities shown in the table. The super assembly facility would ship to distribution centers located Nashville, and Philadelphia. The locations of all of these cities on an X-Y grid ton per mile basis, and total tonnage are all contained in the table below:
|
Sources/Markets
|
Transportation Cost $/ton mile (Fn)
|
Quantity in Tons (Dn)
|
Xn
|
Yn
|
|
Supply
|
|
|
|
|
|
North Haverbrook
|
1.1
|
650
|
700
|
1,200
|
|
Ogden
|
1.2
|
450
|
250
|
600
|
|
Springfield
|
1.3
|
400
|
225
|
825
|
|
Market
|
|
|
|
|
|
Seattle
|
2.25
|
300
|
50
|
1,200
|
|
Lubbock
|
2.25
|
200
|
450
|
300
|
|
Nashville
|
2.25
|
500
|
800
|
250
|
|
Philadelphia
|
2.25
|
500
|
950
|
1,100
|