Consider a problem of distributing 8 medical teams to 3 countries. Suppose that at least...
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Consider a problem of distributing 8 medical teams to 3 countries. Suppose that at least one team must be dispatched to each country. The following table shows benefits to each country.
| # of medical teams | Benefits (1000 additional person-years of life) | ||
| Country 1 | Country 2 | Country 3 | |
| 0 | 0 | 0 | 0 |
| 1 | 45 (45) | 20 (20) | 50 (50) |
| 2 | 70 (25) | 45 (25) | 70 (20) |
| 3 | 90 (20) | 75 (30) | 80 (10) |
| 4 | 105 (15) | 110 (35) | 100 (20) |
| 5 | 120 (15) | 150 (40) | 130 (30) |
| 6 | 150 (30) | 170 (20) | 145 (15) |
| Number in ( ) is the increment | |||
The problem can be solved as a problem of allocating5 medical teams to 3 countries if the benefit table is modified appropriately.
(Step 1) Allocate 1 team to each country.
The sum of benefits due to this allocation is 45+20+50=115
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