Question: Formulate the given problem as a Goal Programming model. A country will have an election next spring among two candidates, one of whom is the
Formulate the given problem as a Goal Programming model.
A country will have an election next spring among two candidates, one of whom is the current president. The President realizes that his re-election will depend on these factors :
1-his reduction of inflation rate
2-his number of TV ads
3-his number of personal appearances
There are 1,000,000 voters. He estimates that 30% of the voters will vote for him regardless of what he does. Other related data are given below. (Complete the table with your own data)
| Factors | Hours spent per week | Cost ($) | Extra votes gained |
| Each 1% reduction in inflation | 40000 | ||
| Each TV ad |
| ||
| Each personal appearance- weekday | 10000 |
| |
| Each personal appearance - weekend | 5 |
|
Top priority of the president is to be re-elected.
Next priority is to limit hours per week for the three efforts to ......... (give a value) hours total, because of his health.
He has two lower priority goals with equal priority levels:
His weekday personal appearances should not be less than weekend appearances ;
His total personal appearances should be more than or equal to his TV ads but less than or equal to twice his TV ads.
The total campaign budget is limited to ....... $(give a value) and no further amounts are possible.
The President wants to find out how to allocate his efforts among the factors.
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