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, outbound transportation costs on a ton per mile basis, and total tonnage are all contained in the table. What is the cost to transport 500 tons of material between the Springfield and Seattle locations? Sources/Markets Supply North Haverbrook Ogden Springfield Market Seattle Lubbock Nashville Philadelphia Transportation Cost S/ton mile (Fn) 1.1 1.2 1.4 2.25 2.25 2.25 2.25 Quantity in Tons (Dn) 650 450 400 300 200 500 500 Xn 700 250 225 50 450 800 950 Yn 1200 600 825 1200 300 250 1100

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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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, outbound transportation costs on a
ton per mile basis, and total tonnage are all contained in the table.
What is the cost to transport 500 tons of material between the Springfield and Seattle
locations?
Sources/Markets
Supply
North Haverbrook
Ogden
Springfield
Market
Seattle
Lubbock
Nashville
Philadelphia
$682.777
$325,777
$289,677
$192.677
Transportation Cost
S/ton mile (Fn)
1.1
1.2
1.4
2.25
2.25
2.25
2.25
Quantity in
Tons (D₂)
650
450
400
300
200
500
500
Xn
700
250
225
50
450
800
950
Yn
1200
600
825
1200
300
250
1100
Transcribed Image Text: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, outbound transportation costs on a ton per mile basis, and total tonnage are all contained in the table. What is the cost to transport 500 tons of material between the Springfield and Seattle locations? Sources/Markets Supply North Haverbrook Ogden Springfield Market Seattle Lubbock Nashville Philadelphia $682.777 $325,777 $289,677 $192.677 Transportation Cost S/ton mile (Fn) 1.1 1.2 1.4 2.25 2.25 2.25 2.25 Quantity in Tons (D₂) 650 450 400 300 200 500 500 Xn 700 250 225 50 450 800 950 Yn 1200 600 825 1200 300 250 1100
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