Preventive care is not always cost effective. Suppose that it costs $100 per person to administer a screening exam for a particular disease. Also suppose that if the screening exam finds the disease, the early detection given by the exam will avert $1000 of costly future treatment.

a. Imagine giving the screening test to 100 people. How much will it cost to give those 100 tests? Imagine a case in which 15 percent of those receiving the screening exam test positive. How much in future costly treatments will be averted? How much is saved by setting up a screening system?

b. Imagine that everything is the same as in part a except that now only 5 percent of those receiving the screening exam test positive. In this case, how much in future costly treatments will be averted? How much is lost by setting up a screening system?