Mark can work up to 80 hours each week at a pre-tax hourly wage of $20 but faces a constant 20 percent tax on his earnings. Thus, Mark maximizes his utility by choosing to work 50 hours per week. The government proposes a negative income tax whereby everyone is given $300 per week and anyone can supplement their income further by working. To pay for the negative income tax, tax on earnings will be increased to 50 percent. A. On a single graph, draw Mark's original budget line and his budget line under the negative income tax. B. Show that Mark will work fewer hours if the negative income tax is implemented C. Will Mark's utility be greater under the negative income tax? Discuss your answer.