Consider a person who has no non-labor income and can work up to 110 hours each week at a pre-tax wage of $30 per hour but faces a constant 20% payroll tax. Under these conditions, she finds it optimal to work 60 hours per week. The government proposes a negative income tax whereby everyone is given $500 each week and anyone can supplement her income further by working. To pay for the negative income tax, the payroll tax rate will be increased to 60%. a. On a single graph, draw the worker's original budget line (BCO) AND her budget line under the negative income tax (BCNIT). Be sure you label your axes, lines, slopes, and intercepts. b. Indicate the worker's original optimal bundle as well as her new optimal bundle. Indicate her income and substitution effects on the graph above. (You do not need to calculate anything.)