7 Consider a model in which an individual lives only two periods. This person has diminishing marginal utility of consumption and receives an income of $20,000 in period 1 and an income of $5,000 in period 2. The private interest rate is 10 percent per period, and this person can borrow or lend money at this rate. Also assume that this person intends to consume all of his income over his lifetime. a. Give a hypothetical numerical example of what a person’s optimal consumption would be over these two periods. In answering this question, what assumptions did you make?

Garfield enjoys pizzas and hanging out (leisure). He sleeps 8 hours per day. Of the remaining16 hours, for each hour he chooses to work he gets paid 2 pizzas. Garfield must pay 6 pizzas intaxes but receives dividends equivalent to 6 pizzas.1. Draw Garfield’s budget constraint (put consumption on the vertical axis and leisure of thehorizontal). Make sure to show the vertical and horizontal intercepts as well as the slope.b. Now suppose that Garfield chooses to work 10 hours per day. Find how many hoursof leisure and how many pizzas he will consume.c. Using your answer from b, show Garfield’s optimal point on the budget line and drawthe indifference curve passing from that point.4. Suppose that Garfield’s wage falls to 1 pizza per hour. Draw Garfield’s new budgetconstraint. Make sure to show the value of any intercept that has changed.5. Suppose that in response, Garfield decides to work for 6 hours per day. How much leisurewill he take, and how much pizza will he consume?6. Use an…

Suppose that the least amount of goods and services that Jim will consume in a year is $40,000. Jim tends to save $0.30 of every dollar of disposable income that he makes. Use the given line to graph Jim's consumption function for disposable income levels between $0 and $200,000. Move each endpoint to the appropriate spot on the graph.

Suppose Gregg consumer chocolate candy bars and oranges. He is given four candy bars and three oranges. He can buy or sell a candy bar for $2 each. Similarly, he can buy or sell an oranges for $1. If he has no source of income, draw the budget contraint and write the equation. What is the most he can spend, Y pon these goods?

4. Graph the budget line for each of the following circumstances. a. Consider Bobby's choice between watching movies on Netflix and all other consumption goods. Movies cost $5 to watch on Netflix. Bobby has cash income of $60 and a $20 Netflix gift card, which cannot be resold and must be used entirely during the current period. (Graph movies vs. money spent on all other goods here.) b. Monica purchases food and clothes and works at a clothing store. Her income is $300, the price of food is $10, and the price of clothes is $50. Monica receives an employee discount of the following form: She gets 50% off the price of all clothes items after purchasing 2 at the regular price.

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2. Utility maximization - Trading off labor and leisure The indifference curves on the following graph show Amy's preferences for leisure and consumption for increasing levels of utility, such that her utility increases in both consumption and leisure. Assuming that Amy spends 68 hours each week sleeping, she has a maximum of 100 hours available to her for leisure if she does not work at all. Initially, she works 45 hours (and thus has 55 hours of leisure) and earns $250 per week. Use the grey point (star symbol) to indicate Amy's initial leisure/consumption bundle. Dashed drop lines will automatically extend to both axes. CONSUMPTION (Dollars per week) 1000 900 800 700 600 500 400 300 200 100 0 0 + 10 20 30 40 50 60 70 80 LEISURE (Hours per week) 90 U3 100 110 Initial bundle + $200 Unemployment Benefits Equivalent Bundle, $100 Unemployment Benefits Equivalent Bundle ?

1. Rosie has just written a book. Assume that her preferences are consistent with expected utility theory. There is 30% chance that her book will be a best-seller and make $500,000 in profit (after the costs of production) and a 70% chance it will just break even (i.e. no profit after the costs of production). Her current income is $150,000 (which she will receive regardless of what happens with her book) and her utility function is u (I) = ln (I) (a) Is Rosie risk-averse, risk-neutral, or risk-loving? How do you know? (b) Assume that Rosie will receive all of the profits (if any) from her book. Draw a diagram illustrating (i) Rosie's total income if her book just breaks even, (ii) her total income if her book is a best-seller, (iii) her expected income, (iv) her expected utility, (v) her certainty equivalent, and (vi) her risk premium. (c) Compute the numerical values associated with each of the six amounts you found in (b). (d) Acme Publishing Company has offered Rosie $100,000 for…

7. Suppose that you can earn $16 per hour before taxes and can work up to 80 hours per week. Consider two income tax rates, 10% and 20%. a. On the same diagram, draw the two weekly consumption-leisure budget constraints reflecting the two different tax rates. b. Draw a set of representative indifference curves such that the income effect of the tax increase outweighs the substitution effect. c. Draw a set of representative indifference curves such that the substitution effect of the tax increase outweighs the income effect.

4. Kay lives in a city where housing costs $1 per square foot. They have a monthly budget of$1,000, of which they decide to allocate $500 to rent a 500 sqft. apartment and spend teother $500 on consumption. A generous relative offers Kay a deal on a 400 sqft. apartmentfor only $200 per month, which they accept. What is the equivalent variation of this transferfor Kay, in dollars per month? (Select one)(a) More than $300: Kay gets utility from both consumption and the new apartment.(b) $300: That is how much more Kay can consume with the new cost of rent.(c) $250: That is how much less Kay’s old bundle would have cost at the new prices.(d) Between $0 and $250: Kay would substitute away from her old bundle at the new prices.(e) $200: That is the additional cost of Kay’s new bundle at the old prices.(f) Between $0 and $200: Kay may prefer to substitute away from her new bundle at theold prices.(g) $100: That is the differential cost of the new apartment at the old prices.(h) $0: The new…