Suppose the utility function of the consumer is given by U = AXY = 5X0.3Y 0.6 such that X 0 and Y 0. The budget constraint of the consumer is given by 800 10X + 8Y . All monetary values are measured in dollars. Treat each of the questions below as distinct questions and provide as much detailed asnwer as possible. (a) What combination of X and Y will the consumer consume if she wanted to maximize her utility given the budget constraint? (b) What combination of X and Y will the consumer consume if she wanted to maximize her utility given the budget constraint which now gets affected because of a government decision to impose 10% sales tax on all commodities and services? (c) How will this utility maximizing choice change if the consumer suffers an income loss of $200? (d) How will this utility maximizing choice change the if consumer now receives a federal stimulus payment of $500 after having suffered an income loss of $100?