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
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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
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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