MICROECONOMICS (LL)(FD)
MICROECONOMICS (LL)(FD)
21st Edition
ISBN: 9781260191806
Author: McConnell
Publisher: MCGRAW-HILL CUSTOM PUBLISHING
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Chapter 7, Problem 3P
To determine

Budget of the consumer.

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Suppose that Omar’s marginal utility for cups of coffee is constant at 1.5 utils per cup no matter how many cups he drinks. On the other hand, his marginal utility per doughnut is 10 for the first doughnut he eats, 9 for the second he eats, 8 for the third he eats, and so on (that is, declining by 1 util per additional doughnut). In addition, suppose that coffee costs $1 per cup, doughnuts cost $1 each, and Omar has a budget that he can spend only on doughnuts, coffee, or both. How big would that budget have to be before he would spend a dollar buying a first cup of coffee?
Suppose that each week Fiona buys 16 peaches and 4 apples at her local farmer's market. Both kinds of fruit cost $1 each. From this we can infer that:   If Fiona is maximizing her utility, then her marginal utility from the 16th peach she buys must be greater than her marginal utility from the 4th apple she buys. Fiona is not maximizing her utility. If Fiona is maximizing her utility, then her marginal utility from the 16th peach she buys must be equal to her marginal utility from the 4th apple she buys. The law of diminishing marginal utility does not hold for Fiona.
A consumer finds only three products, X, Y, and Z, are for sale. The amount of utility which their consumption will yield is shown in the table below.  Assume that the prices of X, Y, and Z are $10, $2, and $8, respectively, and that the consumer has an income of $74 to spend.   Product X   Product Y   Product Z     Quantity     Utility Marginal Utility per $       Quantity     Utility Marginal Utility per $       Quantity     Utility Marginal Utility per $ 1 42 NA   1 14 NA   1 32 NA 2 82 4   2 26 6   2 60 3.5 3 118 3.6   3 36 5   3 84 3 4 148 3   4 44 4   4 100 2 5 170 2.2   5 50 3   5 110 1.25 6 182 1.2   6 54 2   6 116 0.75 7 182 _0   7 56.4 _1.2   7 120 _0.5_ Why would the consumer not be maximizing utility by purchasing 2 units of X, 4 units of Y, and 1 unit of Z?
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