The following table is a transportation matrix showing the cost ($) per unit of shipping from Plant i to Distributor j. The objective is to minimize shipping costs while meeting the demand placed by each Distributor. There is no shipment between Plant 2 and Distributor 1. Plant 1 Plant 2 Plant 3 Demand x11 X21 Let xij = number units shipped from Planti to Distributor j solve the transportation problem and use the result to fill the boxes below. All answers are equally weighted. a) At optimal solution: || || Distributor 1 Distributor 2 16 15 26 20 390 X31 = --- 1 11 530 00 Minimum Cost X12 X22 X32 || 1000 Distributor 3 Supply 23 510 14 590 21 410 540 = x13 = X23 = X33 = 000
The following table is a transportation matrix showing the cost ($) per unit of shipping from Plant i to Distributor j. The objective is to minimize shipping costs while meeting the demand placed by each Distributor. There is no shipment between Plant 2 and Distributor 1. Plant 1 Plant 2 Plant 3 Demand x11 X21 Let xij = number units shipped from Planti to Distributor j solve the transportation problem and use the result to fill the boxes below. All answers are equally weighted. a) At optimal solution: || || Distributor 1 Distributor 2 16 15 26 20 390 X31 = --- 1 11 530 00 Minimum Cost X12 X22 X32 || 1000 Distributor 3 Supply 23 510 14 590 21 410 540 = x13 = X23 = X33 = 000
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
Related questions
Question
1
![The following table is a transportation matrix showing the cost ($) per unit of shipping
from Plant i to Distributor j. The objective is to minimize shipping costs while meeting
the demand placed by each Distributor. There is no shipment between Plant 2 and
Distributor 1.
Plant 1
Plant 2
Plant 3
Demand
=
x11 I
Distributor 1 Distributor 2 Distributor 3 Supply
16
23
510
14
590
21
410
540
x21
---
a) At optimal solution:
11
530
Let j = number units shipped from Plant i to Distributor j
Solve the transportation problem and use the result to fill the boxes
below.
All answers are equally weighted.
x31 =
||
000
x12 =
X22
=
Minimum Cost $
=
X32 =
15
26
20
390
€13
X23
x 33
=
=
--
=
000](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F46a8ac24-b1b9-4f5b-af1b-61e07fa166b1%2Fb54d22de-9d21-4c0a-a41c-6ca16de1af3d%2Floiwlli_processed.png&w=3840&q=75)
Transcribed Image Text:The following table is a transportation matrix showing the cost ($) per unit of shipping
from Plant i to Distributor j. The objective is to minimize shipping costs while meeting
the demand placed by each Distributor. There is no shipment between Plant 2 and
Distributor 1.
Plant 1
Plant 2
Plant 3
Demand
=
x11 I
Distributor 1 Distributor 2 Distributor 3 Supply
16
23
510
14
590
21
410
540
x21
---
a) At optimal solution:
11
530
Let j = number units shipped from Plant i to Distributor j
Solve the transportation problem and use the result to fill the boxes
below.
All answers are equally weighted.
x31 =
||
000
x12 =
X22
=
Minimum Cost $
=
X32 =
15
26
20
390
€13
X23
x 33
=
=
--
=
000
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