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Explain how a $5 tax on those who are not inoculated will result in the efficient output

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Explain how a $5 tax on those who are not inoculated will result in the efficient output. Why is this approach unlikely to work in practice?
 Calculate the average tax rate for Social Security at incomes of $25,000, $50,000, $75,000, $100,000, $125,000, and $150,000. Do the same for Medicare. Characterize each tax as being progressive, regressive, or neutral.