Question
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
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 | |||||
---|---|---|---|---|---|
Business | Education | Parsons Hall | Holmstedt Hall | supply | |
Baker Hall | 9 | 10 | 4 | 2 | 34 |
Tirey Hall | 13 | 10 | 1 | 7 | 11 |
Arena | 16 | 15 | 6 | 5 | 21 |
Demand | 11 | 21 | 11 | 9 |
(a)If you were going to write this as a linear programming model, how many decision variables would there be?How many constraints would there be? T
From | To Destination | |||
---|---|---|---|---|
From Origin | 1 | 2 | 3 | 4 |
1 | 11 | 21 | 0 | 2 |
2 | 0 | 0 | 11 | 0 |
3 | 0 | 0 | 0 | 7 |
- Total Transportation Cost or Revenue is 359
- Note: The Total Supply Exceeds The Todal Demand By 14
Origin | Excess Supply |
---|---|
3 | 14 |
(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?
Tirey Hall
Arena
Business
Education
Parsons Hall
Holmstedt Hall
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