In: Economics
1. The World Health Organization (WHO) is considering sending in a team of experts to deal with an outbreak of schistosomiasis in a developing country. It costs $25,000 for every additional five team members sent. Sending a larger team will allow WHO to prevent more fatalities, and they estimate the following effectiveness:
Number of Team Members: 0, 5,10,15,20,25,30,35,40,45,50
Number of Deaths: 1200,500,200,100,60,40,30,25,22,20,20
a) (20’) Please plot the incremental cost-effectiveness ratios in a two-dimensional graph with total effectiveness along the horizontal axis and incremental cost-effectiveness ratios along the vertical axis.
b) (20’) If saving a life is valued at $10,000, what is the optimal number of team members sent?
c) (20’) Suppose the WHO has a total budget of $150,000 to be spent on fighting this epidemic. How would your answer to b) change?
Answer to Question (a)
Before Plotting the numbers on graph, pls try to get the below calcuation that how increase in 5 resources savings life
Number of Team members (a) | Number of deaths (b) | Incremental cost (USD) per 5 member © | Total cost | Decrease in Deaths (d) | Savings in Death per 5 members ( e ) (d/5) |
0 | 1200 | 0 | 0 | 0 | 0 |
5 | 500 | 25000 | 25000 | 700 | 140 |
10 | 200 | 25000 | 50000 | 300 | 60 |
15 | 100 | 25000 | 75000 | 100 | 20 |
20 | 60 | 25000 | 100000 | 40 | 8 |
25 | 40 | 25000 | 125000 | 20 | 4 |
30 | 30 | 25000 | 150000 | 10 | 2 |
35 | 25 | 25000 | 175000 | 5 | 1 |
40 | 22 | 25000 | 200000 | 3 | 0.6 |
45 | 20 | 25000 | 225000 | 2 | 0.4 |
50 | 20 | 25000 | 250000 | 0 | 0 |
Answer to B
If the cost per savings is optimum to USD10,000 per person then the optimum team size will be
Number of Team members (a) | Number of deaths (b) | Incremental cost (USD) per 5 member © | Total cost | Decrease in Deaths (d) | Savings in Death per 5 members ( e ) (d/5) | Cost per save (total cost/b) |
0 | 1200 | 0 | 0 | 0 | 0 | 0 |
5 | 500 | 25000 | 25000 | 700 | 140 | 50 |
10 | 200 | 25000 | 50000 | 300 | 60 | 250 |
15 | 100 | 25000 | 75000 | 100 | 20 | 750 |
20 | 60 | 25000 | 100000 | 40 | 8 | 1666.667 |
25 | 40 | 25000 | 125000 | 20 | 4 | 3125 |
30 | 30 | 25000 | 150000 | 10 | 2 | 5000 |
35 | 25 | 25000 | 175000 | 5 | 1 | 7000 |
40 | 22 | 25000 | 200000 | 3 | 0.6 | 9090.909 |
45 | 20 | 25000 | 225000 | 2 | 0.4 | 11250 |
50 | 20 | 25000 | 250000 | 0 | 0 | 12500 |
Maximum cost that can be soend is USD 10,000
it should be in between 40 to 45