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# Optimal transportation schedule for projectors

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After some special presentations, the employees of the AV Center have to move overhead projectors back to classrooms. The table below indicates the buildings where the projectors are now (the sources), where they need to go (the destinations), and a measure of the distance between sites.

Destination
Source Business Education Parsons Hall Holmstedt Hall Supply
Baker Hall 10 9 5 2 35
Tirey Hall 12 11 1 6 10
Arena 15 14 7 6 20
Demand 12 20 10 10

a. If you were going to write this as a linear programming model, how many decision variables would there be, and how many constraints would there be? Ans:
The solution to this problem is shown below. Use it to answer the following questions.

TRANSPORTATION PROBLEM
****************************
OPTIMAL TRANSPORTATION SCHEDULE
**************************************
SHIP
FROM TO DESTINATION
ORIGIN 1 2 3 4
----------- ------ ------ ------ ------
1 12 20 0 3
2 0 0 10 0
3 0 0 0 7

TOTAL TRANSPORTATION COST OR REVENUE IS 358
NOTE: THE TOTAL SUPPLY EXCEEDS THE TOTAL DEMAND BY 13

ORIGIN EXCESS SUPPLY
---------- -----------------------
3 13

b. How many projectors are moved from Baker to Business? Ans:
c. How many projectors are moved from Tirey to Parsons? Ans:
d. How many projectors are moved from the Arena to Education? Ans:
e. Which site(s) has (have) projectors left? Ans:

https://brainmass.com/statistics/quantative-analysis-of-data/optimal-transportation-schedule-projectors-321814

#### Solution Preview

After some special presentations, the employees of the AV Center have to move overhead projectors back to classrooms. The table below indicates the buildings where the projectors are now (the sources), where they need to go (the destinations), and a measure of the distance between sites.

Destination
Source Business Education Parsons Hall Holmstedt Hall Supply
Baker Hall 10 9 5 2 35
Tirey Hall 12 11 1 6 10
Arena ...

#### Solution Summary

The optimal transportation schedule for projectors is examined.

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