Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2005/iii/paper-41/5/i/solution

Let and be the new-minus-standard mean cost and survival increments. The incremental cost-effectiveness ratio is
Using days per year, this is £14,600 per additional life-year. It is not cost per quality-adjusted life-year because no quality-of-life adjustment is supplied. Both point-estimated increments are positive, so the new intervention exchanges higher cost for longer survival; this is not dominance.

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