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could anyone help me understand 8. 50 points total. Consider a consumer who consumes over two perios, {q}, (31} , and earns income wghg =

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could anyone help me understand

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8. 50 points total. Consider a consumer who consumes over two perios, {q}, (31} , and earns income wghg = 2250 in period 0, and no income in period 1. They value consumption according to U(co,c1) = logco + .810gcl They can save at interest 1' = .2. (a) Calculate and graph this consumer's lifetime budget con straint. 10 points. (b) Solve for this consumers consumption and savings. 10 points. Suppose now that this consumer is now subject to a com- prehensive personal income tan: at rate 1' = .2. (c) Calculate and depict this consumer's new budget constraint, and solve for their new choice of consumption and savings. 15 points. (d) Indicate on your graph the revenue this tax will raise. 5 points. (e) Suppose that capital income is now exempted from this tax. Show graphically the size of this tax: expenditure. 5 points. (f) Show algebraically that this tax is now equivalent to a con sumption tax. 5 points

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