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 3. Distributor 1 Distributor 2 Distributor 3 | Supply Plant 1 8 25 27 490 Plant 2 18 13 360 --- Plant 3 21 14 16 110 Demand 450 390 80 Let xij = 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. a) At optimal solution: *11 = X12 = X13 = X21 = X22 = x23 = X31 = X32 = X33 = Minimum Cost = $ b) At optimal solution, how much unused capacity is available at each Plant? Slack at Plant 1 = units Slack at Plant 2 = units Slack at Plant 3 = units 000 I| ||
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 3. Distributor 1 Distributor 2 Distributor 3 | Supply Plant 1 8 25 27 490 Plant 2 18 13 360 --- Plant 3 21 14 16 110 Demand 450 390 80 Let xij = 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. a) At optimal solution: *11 = X12 = X13 = X21 = X22 = x23 = X31 = X32 = X33 = Minimum Cost = $ b) At optimal solution, how much unused capacity is available at each Plant? Slack at Plant 1 = units Slack at Plant 2 = units Slack at Plant 3 = units 000 I| ||
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
5
![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 3.
Distributor 1
Distributor 2
Distributor 3
Supply
Plant 1
25
27
490
Plant 2
18
13
360
---
Plant 3
21
14
16
110
Demand
450
390
80
Let xij = 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.
a) At optimal solution:
X11 =
*12 =
X13 =
X21 =
X22 =
x23 =
231 =
X32 =
X33 =
Minimum Cost = $
b) At optimal solution, how much unused capacity is available at each Plant?
Slack at Plant 1 =
units
Slack at Plant 2 =
units
Slack at Plant 3 =
units](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65987440-52ea-4502-8622-6253e4c562fa%2F7aad930a-2ad3-453d-881d-c22f76bb00ed%2Fma82wl_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 3.
Distributor 1
Distributor 2
Distributor 3
Supply
Plant 1
25
27
490
Plant 2
18
13
360
---
Plant 3
21
14
16
110
Demand
450
390
80
Let xij = 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.
a) At optimal solution:
X11 =
*12 =
X13 =
X21 =
X22 =
x23 =
231 =
X32 =
X33 =
Minimum Cost = $
b) At optimal solution, how much unused capacity is available at each Plant?
Slack at Plant 1 =
units
Slack at Plant 2 =
units
Slack at Plant 3 =
units
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