Consider a problem of distributing 8 medical teams to 3 countries. Suppose that at least...
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Accounting
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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