Using the following utility schedule, derive a demand curve for pizza. Assume income is $10, the price of each slice of pizza is $1, and the price of each glass of beer is $2. Then change the price of pizza to $2 per slice. Now change income to $12 and derive a demand curve for pizza.

A consumer has a budget set aside for entertainment during the year, and they spend the budget on concerts and plays. The consumer has a strong preference for attending concerts over plays: the two activities are substitutes, but not very strong substitutes. Sketch the indifference curves for this consumer on a graph, with concert tickets on the vertical axis and play tickets on the horizontal axis. Briefly explain why the consumer might ultimately choose to purchase a large number of play tickets, even though they have a strong preference for concerts. Include a budget line on your graph to illustrate this case.

Bob consumes food and housing. Suppose his marginal utility from an additional unit of food is 20 and his marginal utility from an additional unit of housing is 180. Furthermore, suppose the price of a unit of food is $1.00 and the price of a unit of housing is $2.00. Can Bob increase his utility without changing his total expenditures on food and housing? Holding expenditures constant, A. Bob can increase utility by spending more on food and less on housing. B. Bob can increase utility by spending more on food and the same amount on housing. C. Bob can increase utility by spending less on food and more on housing. D. Bob cannot increase his utility. E. Bob can increase utility by spending more on food and more on housing.

Rick consumes 2 goods, Chicken McNuggets (M) with Szechuan sauce (S). His utility function is U(M, S) = M2/3S1/3 and his income is m. The price of Chicken McNuggets is p, and the price of Szechuan sauce is 1. d. Use the equation from part (c) and the budget constraint from part (a) to find Rick’s demand for each of the two goods. e. Suppose m=100 and p=1. How much of each good does Rick consume? Draw a graph showing Rick’s budget constraint and indifference curve passing through his chosen consumption bundle. f. Suppose m=100 and p=2. How much of each good does Rick consume? On the same graph from part (e), show Rick’s budget constraint and indifference curve passing through his new chosen consumption bundle.