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Suppose, Sam has the opportunity for a treatment that will extend his life by one year...

Suppose, Sam has the opportunity for a treatment that will extend his life by one year with a probability of 0.9, by two years with a probability of 0.5, and three years with a probability of 0.3. Sam will die with certainty after three years. QALY weight q1 is 0.9 in Year 1, q2 is 0.6 in Year 2, and q3 is 0.2 in Year 3. The discount rate is 0.05 per year.

a. What is the total number of discounted QALYs from this treatment?

b. The treatment costs are $2,000 in Year 1, $3,000 in Year 2, and $5,000 in Year 3. What is the expected costs per QALY for the three-year regimen?

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