The healthier an individual is the fewer days they are sick. The table below provides the relationship between the individuals health stock and sick days:

Health Stock	Sick Days	Health Stock	Sick Days
3	100	9	13
4	70	10	9
5	50	11	6
6	35	12	4
7	26	13	3
8	19

The individual works and has a daily wage rate=$200. Moreover, the total cost (including both direct and opportunity costs) for the individual to increase his health stock by 1 unit is $4,000. If the real interest rate is 7% and the persons health stock depreciates at a rate of 8% per year:

a) What is the optimal stock of health for the person to have from a pure investment standpoint?

b) Show graphically how the optimal stock of health was found.

c) Suppose the person is diagnosed with a chronic disease and the persons health depreciates at a faster rate of 13% per year. What is the persons optimal stock of health?