1. Consider the budget set of an individual who consumes health care (HC) and all other goods (OG) . Set up the equation ?rst. Then draw the budget set, clearly mark the intercept with the axes, and also draw an optimal point into this budget set using an indi?erence curve. Now assume that the same individual purchases a health insurance contract with a 30% coinsurance rate at a premium p. Set up the equation of the individuals new budget constraint. Draw this constraint into the old graph, then re-optimize using the indi?erence curve (this is only a graphical analysis). Determine what happens in the new equilibrium. Does the individual buy more or less of OG. Does the individual buy more or less of HC. Explain why.
2. Repeat exercise one and assume the income is $50, 000. The price of a unit of health care is $225 and the price of a unit of OG is $340. The insurance premium is $5, 000 and the coinsurance rate is still 30%. Draw all graphs again and be precise with the budget constraints. You know that in equilibrium the individual buys 120 units of HC. Find the optimal point and draw the indi?erence curve. Then draw the new budget constraint with the insurance and re-optimize. The re-optimization is just graphical, you do not have to calculate anything for that.