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Chapter- Gravity Model
A manufacturer of cat towers wishes to locate a super assembly facility to meet their cat tower assembly needs for the next millennium. Currently, carpet, cylinders, yarn and fasteners are purchased in bulk from suppliers in North Haverbrook, Ogden, and Springfield in the quantities shown in the table. The super 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, 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.
Sources/Markets
Transportation Cost $/ton mile (Fn)
Quantity in Tons (Dn)
Xn
Yn
Supply
North Haverbrook
1.1
650
700
1200
Ogden
1.2
450
250
600
Springfield
1.4
400
225
825
Market
Seattle
2.25
300
50
Lubbock
200
Nashville
500
800
Philadelphia
950
1100
Where should the new plant be located and what is the total system shipping cost?
Attachment:- Gravity Model Question.rar
Verified Expert
This assignment is based on the topic of Supply Chain Management. In this given assignment, the case study of Gravity Model has been provided and we have to discuss the location of various cities, as per the given data by using Linear programming concepts. Also, we have to formulate and solve the model that will minimize the shipping costs to the super assembly center.
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