After some special presentations, the employees of an event planning center have to move dining chairs back to their original storage locations. The table below indicates the buildings where the chairs are now (the sources), where they need to go (the destinations), and a measure of the distance between sites. Source Baker Hall Tirey Hall Arena Demand Business Education Parsons Hall 11 11 16 11 10 How many constraints would there be? 10 15 Destination 19 4 1 8 9 Holmstedt Hall 2 5 5 9 Supply 36 9 19 (a) If you were going to write this as a linear programming model, how many decision variables would there be?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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After some special presentations, the employees of an event planning center have to move dining chairs back to their original storage locations. The table below indicates the
buildings where the chairs are now (the sources), where they need to go (the destinations), and a measure of the distance between sites.
Source
Baker Hall
Tirey Hall
Arena
Demand
Business Education Pa
11
11
16
11
10
How many constraints would there be?
10
15
Destination
19
Parsons Hall
4
1
8
9
Holmstedt Hall
2
5
5
9
Supply
36
9
19
(a) If you were going to write this as a linear programming model, how many decision variables would there be?
Transcribed Image Text:After some special presentations, the employees of an event planning center have to move dining chairs back to their original storage locations. The table below indicates the buildings where the chairs are now (the sources), where they need to go (the destinations), and a measure of the distance between sites. Source Baker Hall Tirey Hall Arena Demand Business Education Pa 11 11 16 11 10 How many constraints would there be? 10 15 Destination 19 Parsons Hall 4 1 8 9 Holmstedt Hall 2 5 5 9 Supply 36 9 19 (a) If you were going to write this as a linear programming model, how many decision variables would there be?
The solution to this problem is shown below. Use it to answer parts (b) through (e).
Transportation Problem
Optimal Transportation Schedule
To Destination
From
From Origin
1
оооо
2
3
3
1 2
11 19
0
0 0 9 0
0
Origin Excess Supply
34
16
0 6
Total Transportation Cost or Revenue is 347
Note: The Total Supply Exceeds The Todal Demand By 16
0 3
(b) How many chairs are moved from Baker to Business?
(c) How many chairs are moved from Tirey to Parsons?
(d) How many chairs are moved from Arena to Education?
(e) Which site(s) has (have) chairs left? (Select all that apply.)
Baker Hall
Tirey Hall
Arena
Business
Education
Parsons Hall
Holmstedt Hall
Transcribed Image Text:The solution to this problem is shown below. Use it to answer parts (b) through (e). Transportation Problem Optimal Transportation Schedule To Destination From From Origin 1 оооо 2 3 3 1 2 11 19 0 0 0 9 0 0 Origin Excess Supply 34 16 0 6 Total Transportation Cost or Revenue is 347 Note: The Total Supply Exceeds The Todal Demand By 16 0 3 (b) How many chairs are moved from Baker to Business? (c) How many chairs are moved from Tirey to Parsons? (d) How many chairs are moved from Arena to Education? (e) Which site(s) has (have) chairs left? (Select all that apply.) Baker Hall Tirey Hall Arena Business Education Parsons Hall Holmstedt Hall
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