Question 39 ABC company has five (5) factories. They send their products through five (5) distribution centers (DCs) that serve a specific market. To use full truckloads and to have the economy of scale in transportation, they also use two cross-dock centers as transshipment points. All the required data are represented in the following tables. Transportation cost($) Crossdock Factory Crossdock 1 Crossdock 2 Factory 1 15 40 Factory 2 Factory 3 Factory 4 19 52 29 16 60 15 Factory 5 50 63 Transportation cost($) Distribution Center Crossdock DC1 DC2 DC3 DC4 DC5 Crossdock 1 10 20 14 35 36 Crossdock 2 40 10 13 17 70 Capacity of Factory (units) Factory 1 Factory 2 Factory 3 Factory 4 Factory 5 150 320 80 170 200 Demand for each DC (units) DC 1 140 DC 2 130 DC 3 180 DC 4 250 DC 5 150 (b) How many units of products are transshipped to DCs through cross-docks 1 and 2? (c) Which DC's will be served by each cross-dock center? (d) What is the minimum total distribution cost?
Question 39 ABC company has five (5) factories. They send their products through five (5) distribution centers (DCs) that serve a specific market. To use full truckloads and to have the economy of scale in transportation, they also use two cross-dock centers as transshipment points. All the required data are represented in the following tables. Transportation cost($) Crossdock Factory Crossdock 1 Crossdock 2 Factory 1 15 40 Factory 2 Factory 3 Factory 4 19 52 29 16 60 15 Factory 5 50 63 Transportation cost($) Distribution Center Crossdock DC1 DC2 DC3 DC4 DC5 Crossdock 1 10 20 14 35 36 Crossdock 2 40 10 13 17 70 Capacity of Factory (units) Factory 1 Factory 2 Factory 3 Factory 4 Factory 5 150 320 80 170 200 Demand for each DC (units) DC 1 140 DC 2 130 DC 3 180 DC 4 250 DC 5 150 (b) How many units of products are transshipped to DCs through cross-docks 1 and 2? (c) Which DC's will be served by each cross-dock center? (d) What is the minimum total distribution cost?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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Question
![Question 3y
ABC company has five (5) factories. They send their products through five (5) distribution centers
(DCs) that serve a specific market. To use full truckloads and to have the economy of scale in
transportation, they also use two cross-dock centers as transshipment points. All the required data are
represented in the following tables.
Transportation cost($)
Crossdock
Factory
Crossdock 1
Crossdock 2
Factory 1
Factory 2
Factory 3
Factory 4
15
40
19
52
29
16
60
15
Factory 5
50
63
Transportation cost($)
Distribution Center
Crossdock
DC1
DC2
DC3
DC4
DC5
Crossdock 1
10
20
14
35
36
Crossdock 2
40
10
13
17
70
Capacity of Factory (units)
Factory 1
Factory 2
150
320
Factory 3
80
Factory 4
Factory 5
170
200
Demand for each DC (units)
DC 1
140
DC 2
130
DC 3
180
DC 4
250
DC 5
150
(b) How many units of products are transshipped to DCs through cross-docks 1 and 2?
(c) Which DC's will be served by each cross-dock center?
(d) What is the minimum total distribution cost?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4e52d1d4-e5f9-4ac6-9763-61d404e4371d%2F780bd296-8ad3-42ee-98cf-25f3d6fc82e4%2Fnz2nsc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 3y
ABC company has five (5) factories. They send their products through five (5) distribution centers
(DCs) that serve a specific market. To use full truckloads and to have the economy of scale in
transportation, they also use two cross-dock centers as transshipment points. All the required data are
represented in the following tables.
Transportation cost($)
Crossdock
Factory
Crossdock 1
Crossdock 2
Factory 1
Factory 2
Factory 3
Factory 4
15
40
19
52
29
16
60
15
Factory 5
50
63
Transportation cost($)
Distribution Center
Crossdock
DC1
DC2
DC3
DC4
DC5
Crossdock 1
10
20
14
35
36
Crossdock 2
40
10
13
17
70
Capacity of Factory (units)
Factory 1
Factory 2
150
320
Factory 3
80
Factory 4
Factory 5
170
200
Demand for each DC (units)
DC 1
140
DC 2
130
DC 3
180
DC 4
250
DC 5
150
(b) How many units of products are transshipped to DCs through cross-docks 1 and 2?
(c) Which DC's will be served by each cross-dock center?
(d) What is the minimum total distribution cost?
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