Processing Plants ($1,000s/ton) Suppliers Denver St. Paul Louisville Akron Topeka Supply (tons) Sacramento $3.7 3.4 $4.6 5.1 $4.9 4.4 $5.5 $4.3 5.2 18 Bakersfield 5.9 15 San Antonio 3.3 4.1 3.7 2.9 2.6 10 Montgomery 1.9 4.2 2.7 5.4 3.9 12 Jacksonville 6.1 5.1 3.8 2.5 4.1 20 Ocala 6.6 4.8 3.5 3.6 4.5 15 Demand (tons) 20 15 15 15 20 90

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.3: Assignment Models
Problem 12P
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National Foods Company has five plants where it processes and packages fruits and vegetables. It has
suppliers in six cities in California, Texas, Alabama, and Florida. The company owns and operates its
own trucking system for transporting fruits and vegetables from its suppliers to its plants. However, it
is now considering outsourcing all its shipping to outside trucking firms and getting rid of its own
trucks. It currently spends $245,000 per month to operate its own trucking system. It has determined monthly shipping costs (in thousands of dollars per ton) of using outside shippers from each of its
suppliers to each of its plants, as shown in the following table: Should National Foods continue to operate its own shipping network or sell its trucks and outsource
its shipping to independent trucking firms? 

Processing Plants ($1,000s/ton)
Suppliers
Denver
St. Paul Louisville Akron Topeka Supply (tons)
Sacramento
$3.7
3.4
$4.6
5.1
$4.9
4.4
$5.5
$4.3
5.2
18
Bakersfield
5.9
15
San Antonio
3.3
4.1
3.7
2.9
2.6
10
Montgomery
1.9
4.2
2.7
5.4
3.9
12
Jacksonville
6.1
5.1
3.8
2.5
4.1
20
Ocala
6.6
4.8
3.5
3.6
4.5
15
Demand (tons)
20
15
15
15
20
90
Transcribed Image Text:Processing Plants ($1,000s/ton) Suppliers Denver St. Paul Louisville Akron Topeka Supply (tons) Sacramento $3.7 3.4 $4.6 5.1 $4.9 4.4 $5.5 $4.3 5.2 18 Bakersfield 5.9 15 San Antonio 3.3 4.1 3.7 2.9 2.6 10 Montgomery 1.9 4.2 2.7 5.4 3.9 12 Jacksonville 6.1 5.1 3.8 2.5 4.1 20 Ocala 6.6 4.8 3.5 3.6 4.5 15 Demand (tons) 20 15 15 15 20 90
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