LO 4 Consider a pay-as-you-go social security system where social security is funded by a proportional tax on the age of the young (less before the age of 40, more after 40). In other words, the tax collected by the government is sc, where s is the tax rate and c is the consumption of the young. Retirement beneits are provided as a ixed amount b to each old consumer. Can social security improve lifetime wealth for everyone in this situation? Use diagrams in your answer.