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# Assume that an individual consumes two goods, X and Y. The totalutility (assumed measurable) of each good is independent of therate of consumption of other good.The price of X and Y are respectively \$40 and \$60. Use thefollowing table of total utilities to answer the followingquestions.Good 1, 2 ,3 ,4, 5, 6Total Utility of X 20, 38, 54, 68, 80, 90Total Utility of Y 45, 78, 108, 135, 139, 180a. The marginal utility of the fourth unit of Y is__________.b. The marginal utility of the fifth unit of X is___________.c. The marginal utility per dollar spent on the third unit of X is__________.d. The marginal utility per dollar spent on the second unit of Y is__________.e. If the consumer has \$420 to spend, ______ unit of X and _______units of Y maximize utility subject to the budget constraint.Explain.f. If the consumer has \$220 to spend, _______ units of X and_______ units of Y maximize utility subject to the budgetconstraint. Explain.g. If the consumer wanted 4 units of X and 6 units of Y what wouldhave to be his/her budget constraint in order to maximize his/herutility? Explain. 