$2.$ Suppose that your utility function over health care$($h$)$ and other goods $($c$)$ is given by U$($h$,$ c$)$ and that you have a fixed income of $$100.($Assume that the indifference curves of your utility function bear the usual convex shape$).$ Each year, you choose h and c to maximize your utility subject to a budget constraint:

phh $+$ pcc $=$ Y

where, ph is the price of health care, pc is the price of other goods, and Y is your income.