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# Assume that an individual consumes two goods, X and Y. The total utility (assumed measurable) of each good is independent of the consumption rate of other goods.The price of X and Y are respectively \$40 and \$60. Use the following table of total utilities to answer the following questions. Good Total utility X Total utility Y  1  20  45  2  38  78  3  54  108  4  68  135  5  80  159  6  90  180 a. 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 budget constraint. Explain.g. If the consumer wanted 4 units of X and 6 units of Y, what would have to be his/her budget constraint in order to maximize his/her utility? Explain. 