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1. Antonio is currently spending all of his income on crack- ers and grapes. In each of the following cases, Antonio's current consumption basket is

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1. Antonio is currently spending all of his income on crack- ers and grapes. In each of the following cases, Antonio's current consumption basket is listed as (ac, re). The marginal utility at this basket for each good is listed as MUc and MUc and the price of each basket is listed as po and po. In each case, determine if Antonio is maxi- mizing his utility, and if not, how he should reallocate his spending in order to increase his utility. Antonio's utility function has diminishing marginal rate of substitution. (a) co = 16, ce = 9, MUC = 19, MUG = 17, pc = 5, PG = 18 (b) co = 9, cG = 14, MUC = 4, MUG = 16, pc = 3, PG = 12 (c) co = 19, cq = 4, MUc = 5, MUG = 6, pc = 15, LapG = 18 (d) co = 10, ce = 16, MUc = 6, MUG = 13, po = 9, PG = 4 2. Draw a plot for each of the following situations (a-f) with good a on the r-axis and good y on the y-axis. Make sure to draw at least 3 indifference curves and a budget line. a) A situation with a basket on the budget line that has positive amounts of both goods that satisfies the tan- gency condition, but is not optimal. b) A situation where the tangency condition is never sat- isfied. c) A situation with an optimal basket that satisfies the tangency condition but is also a corner solution. d) A situation where the tangency condition is always satisfied. e) A situation where that tangency condition is satisfied on the budget line, but with a negative amount of good c

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