Suppose that consumers are all risk neutral and so they do not purchase health insurance.

Suppose that consumers are all risk neutral and so they do not purchase health insurance.  The equilibrium price of a doctor visit is $30, the supply of doctor visits is perfectly elastic, and the aggregate demand for doctor visits is given by Q=200-5*P.  Calculate the effect that universal perfect health insurance (that is, coinsurance rate=0) would have on social welfare, measured as the sum of consumer surplus plus producer surplus.