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Suppose the government has been taxing each person's income at a marginal rate of .49 for every dollar in excess of $50,000 with the first

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Suppose the government has been taxing each person's income at a marginal rate of .49 for every dollar in excess of $50,000 with the first $50,000 earned not taxed. In addition, the government imposes a lump- sum tax of $5,000 on every person who earns $100,000 or more. Write out and graph income after tax, y, as a function of income before tax, x. Indicate why the function has a point of discontinuity at x = $100,000. Discuss any incentive effects on hours worked that may arise due to this discontinuity in the tax schedule. (5 marks) Suppose the government has been taxing each person's income at a marginal rate of .49 for every dollar in excess of $50,000 with the first $50,000 earned not taxed. In addition, the government imposes a lump- sum tax of $5,000 on every person who earns $100,000 or more. Write out and graph income after tax, y, as a function of income before tax, x. Indicate why the function has a point of discontinuity at x = $100,000. Discuss any incentive effects on hours worked that may arise due to this discontinuity in the tax schedule

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