When leisure is a normal good, the income effect from an increase in wages is manifest in a(n): Select one: a. desire to consume less leisure b. a change in preferences c. desire to consume more leisure d. a shift inwards of the budget constraint
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When leisure is a normal good, the income effect from an increase in wages is manifest in a(n):
desire to consume less leisure
a change in preferences
desire to consume more leisure
a shift inwards of the budget constraint
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- 23. A worker has utility over consumption c and leisure I given by U(c,1) = a 6-6 + 18 where 0 << 1 She has T hours to allocate between leisure and work. For each hour she works, she earns a wage of w to spend on consumption c. The price of c is 1. She also receives an additional 'non-labor income' m regardless of how much she works. She maximizes utility subject to the following constraints: contact@cloure.m Assume interior solution, then cw(T-1) +m C≥O 0≤1≤T A. c is normal and I is inferior good. B. c is inferior and I is inferior good. C. c is inferior and I is normal good. D. c is normal and I is normal good. Page 8Rich's Opportunities. Rich has no nonlabor income, and suppose the price of consumption is $1 per unit. Rich earns $15 per hour, and he has 16 hours in the day to allocate between working and leisure time. The figure be depicts his budget line. consumption (units/day) 240 210 180 150 120 90 60 30 0. 21 4. 6. 8. 10 12 14 16 leisure (hours/day) Rich is thrilled to learn that his folks will give him a $10 daily allowance starting tomorrow. What happens to Rich's opportunities tomorrow? O a. Rich's endowment point shifts left $10. Ob. His budget line shifts up 10 units of consumption per day. O c. The slope of Rich's budget line increases (in absolute value) $10 per day. O d. The slope of Rich's budget line decreases (in absolute value) $10 per hour.11. A worker derives utility from consumption, C and leisure, L U = U(C, L) and initially faces the constraints p.C = N+w.H H = 24 - L where p is the nominal price of consumption, N> 0 is unearned income, w is the nominal wage and H is hours worked. (a) Derive the budget constraint in terms of C and L and show on a diagram an initial optimal choice of C and L, in which both are positive. (b) State this equilibrium algebraically, and briefly explain how it can be derived. (c) Show that, assuming normality of leisure, for some value N*, if N> N*, the individual will choose not to work. Is the initial level of N in your answers to parts a) and b) greater or less than N*?
- P2(7 points) Suppose Backbeat BBQ, Dave Grohl's one-man catering company, offers two types of membership plans. Plan A has an entry fee of $20 with a price of $2 per unit. Plan B has an entry fee of $40 with a price of $1 per unit for using the service. Let x be expenditure on all other goods and y be the units of consumption of Backbeat BBQ's services, and suppose you have an income of $100. A. Write down the budget equation that you would have after you paid the entry fee for each of the two plans. B. If your utility function is xy, how much y would you choose in each case? C. Which plan would you prefer? Explain.-3 For the utility function: U = X+Y⁰¹5, is there constant, increasing or diminishing marginal utility in x? a. Increasing b. Constant c. Decreasing d. There are no returns to marginal utility
- CHAPTER 6 Household Behavior and Consumer Choice 127 E 8. Decide whether you agree or disagree with each of the following statements and explain your reason: a. If the income effect of a wage change dominates the substitu- tion effect for a given household and the household works longer hours following a wage change, wages must have risen. b. In product markets, when a price falls, the substitution effect leads to more consumption; but for normal goods, the income effect leads to less consumption. 9. Suppose the price of X is $5 and the price of Y is $10 and a hypo- thetical household has $500 to spend per month on goods X and Y. a. Sketch the household budget constraint. b. Assume that the household splits its income equally between X and Y. Show where the household ends up on the budget constraint. c. Suppose the household income doubles to $1,000. Sketch the new budget constraint facing the household. d. Suppose after the change the household spends $200 on Y and $800 on X. Does…3. Consider the economic model of an individual's labor-leisure choice with the following components: C represents units of the consumption good L represents hours of leisure H represents hours of paid work p represents the unit price of the consumption good w represents the hourly wage rate Y represents nonlabor income T represents total time available U(C, L) represents the individual's utility function MUC denotes the marginal utility of consumption MUL denotes the marginal utility of leisure Unless otherwise instructed, assume that consumption and leisure are normal goods. Whenever graphi the model, put C on the vertical axis and L on the horizontal axis. What is the slope of the budget line? -(MUC/MUL) O-(MUL/MUC) O-W O -(w/p) O-(w+Y)/p2. 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 ?
- part 3 4 5 Suppose Joan has a fixed income of 1000 and spends the entire income on commodity X and Y. The prices of commodity X and Y are 5 and 10 respectively.(i) Derive the consumer’s budget equation and sketch the line of this equation plotting Y on the vertical axis and X on the horizontal axis.(ii) What is the slope of the budget line (i) and what does it mean?(iii) Assuming income and price of X remain the same, show the effect of a 50 percent reduction in the price of Y on the consumer’s budget line.(iv) Show the effect of a 100 percent increase in income and a 50 percent reduction in prices on the consumer’s budget line.(v) If Joan’s U = X2Y2find the optimal bundle of X and Y that maximises Joan’s utility.11. (Originally #7 on Homework #3) Consider a consumer with the following information: At the optimal consumption bundle this consumer consumes 3 boxes of apples and 3 boxes of oranges. If the Marginal Rate of Substitution of Apples for Oranges is 6 at the optimal consumption bundle (MRSA0= 6), and the price of a box of Oranges is $1.80, what is the price of a box of Apples? Show how you found your answer.Principles of Economics 1 | S1 21/22 Time left 0:5) When the price of one good increases and the price of the other good and income are held constant, the budget line Select one: shifts parallel to the original budget line so that the new budget line is farther from the origin O b. shifts parallel to the original budget line so that the new budget line is closer to the origin rotates so that the intercept is farther from the origin on the axis representing the good that has experienced an increase in price O a. O c. O d. rotates so that the intercept is closer to the origin on the axis representing the good that has experienced an increase in price Next page