Consider an alternate scenario where there are two different treatment options available for heart patients: Treatment A and B. The health services are controlled by the government and they have a limited budget to spend on this treatment. Further they can only adopt any one of the two treatments, not both of them. For a population of 10 million patients, 2 million would die within five years if they receive treatment A, and 3 million would die within five years if untreated. For the same population, 1 million would die within five years if they receive treatment B, and 3 million would dies within five years if untreated. 1. What is the ATE for treatments A and B? 2. On average, how many patients need to be treated under treatment A to save 1 life? Similarly, on average How many patients needs to be treated under treatment B to save 1 life? 3. Let the cost of treatment A for 1 patient be $10 thousand and the cost of treatment B for 1 patient be $4 thousand. If the total budget to spend is $10 million, which treatment option should the government prefer in order to save as many lives as possible in the next five years