51. A consumer has preferences over two goods, X and Y. Suppose we graph this consumer’s preferences (which satisfy
the usual properties of indifference curves) and budget constraint on a diagram with X on the horizontal axis and Y on the
vertical axis. At the consumer’s current consumption bundle, the consumer is spending all available income, and the
marginal rate of substitution is less than the slope of the budget constraint. We can conclude that the consumer
is currently maximizing satisfaction subject to the budget constraint.
could increase satisfaction by consuming more X and less Y.
could increase satisfaction by consuming less X and more Y.
could purchase more X and more Y and increase total satisfaction.
52. Suppose a consumer has preferences over two goods, X and Y, which are perfect substitutes. In particular, two units of
X is equivalent to one unit of Y. If the price of X is $1, the price of Y is $3, and the consumer has $30 of income to
allocate to these two goods, how much of each good should the consumer purchase to maximize satisfaction?
30 units of X and 0 units of Y
0 units of X and 10 units of Y
15 units of X and 5 units of Y
15 units of X and 0 units of Y
53. Traci consumes two goods, lemonade and pretzels. Lemonade costs $2 per glass, and she consumes it to the point
where the marginal utility she receives from her last glass of lemonade is 4. Pretzels cost $3 per bag. The relationship
between the marginal utility Traci gets from eating a bag of pretzels and the number of bags she eats per month is as
follows:
If Traci is maximizing her utility, how many bags of pretzels does she buy each month?