Multi-Object Linear Programming
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Consider the attached multi-objective linear program.
a. Show graphically, the optimal solution(s) for each objective taken separately.
b. Determine graphically whether each of the following is an efficient solution:
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Solution Summary
We solve several linear programming problems graphically.
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(a) We wish to maximize each of the following three objective functions separately:
subject to the constraints
The region R of the -plane subject to the above constraints is shown below, along with its vertices.
Now we have
Thus we see that is maximal for and at which point it attains its maximal value of 3.
We also have
Thus we see that is ...
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