In: Economics
Assume the health production function is h = 365 − 1/H, where h is the number of healthy days a person has in each year and H is the person’s health capital. Assume this person earns a wage of $100/day, and the marginal cost of health investment π = 25 and is constant over time. The annual interest rate is 5 percent, and health capital depreciates at a rate of 35 percent per annum.
Find the optimal level of health this person demands under the above conditions.
4.47 |
||
2.55 |
||
3.16 |
||
4.67 |
Correct Answer : 3.16
So, 3.16 is the optimal level of health this person demands under the above conditions.
Solution & Explanation :-
Given,
wage rate (w) = $100/day
marginal cost of health investment (π) = 25
Health production function (h) = 365 - 1/H
annual interest rate (i) = 5% = 0.05
depreciation rate = 35% = 0.35
Appreciate rate (a) = 0
Now,
for Marginal Efficiency of Health Capital Curve (MEC),