draw James leisure demand curve. Which effect, substitution or income, is larger for him? James' leisure demand curve is [Select] SE is [ Select] v than IE draw Xiao's leisure demand curve. Which effect, substitution or income, is larger for him? Xiao's leisure demand curve is [Select]
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E2
![Two individuals, James and Xiao, derive utility from leisure and other goods. To maximise utility, th
allocate 24 hours in the day between work (for which they can earn wage w) and leisure. The prici
other goods is $1. Given the following information:
James
Xiao
price
other
other
of wage leisure
OG
leisure
goods
goods
$1
$30
17
210
14
300
$1
$40
16
320
15
360
$1
$50
15
450
16
400
a) draw James' leisure demand curve. Which effect, substitution or income, is larger for him?
• James' leisure demand curve is [Select ]
• SE is [ Select]
v than IE
b) draw Xiao's leisure demand curve. Which effect, substitution or income, is larger for him?
• Xiao's leisure demand curve is [Select]
• SE is [ Select]
than IE](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F39143d27-4ed0-4cb6-a256-365d5c101b35%2F4b3d7020-4788-4fd3-b704-f39d32d62117%2F6n84c2k_processed.jpeg&w=3840&q=75)
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- Eren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Suppose that the Department of Welfare wants to know how much should begiven to Eren to offset his change un utility due to the price increase of an expensivemeal. Calculate the compensative variation (CV).Eren’s two main hobbies are taking vacations overseas (V) and eating expensive meals (M). His utility function is given as: U(V,M) = V^2MLast year, the average price of taking a vacation overseas was US$200 and the average price of an expensive meal is $50. However, due to supply problems in Onions, the average price of an expensive meal rose to $75. The average price of a vacation did not change. His income, which is $1500, did not change. Suppose that the Department of Welfare wants to know how much should be given to Eren to offset his change un utility due to the price increase of an expensive meal. Calculate the compensative variation (CV).Eren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Calculate for the equivalent variation (EV) for the price change.
- Jack's marginal utility of consumption is MUc = L - 6, and the marginal utility of leisure is MUL=C-40. Jack does not have any nonlabor income, i.e., V = 0. Jack faces a $48 an hour wage rate. Jack's total number of hours available per week is 150. What is Jack's optimal choice of consumption? (calculate to 2 decimal places)Eren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Calculate the change in consumer surplus from consuming the expensivemeals considering the price change (Hint: you need to compare his optimalconsumption bundle before and after the price change to get the change in CS).(i) Keith’s marginal utility of leisure is C – 20 and his marginal utility of consumption is L – 50. There are 110 hours in the week available to split between work and leisure. Keith receives £250 of welfare payments each week regardless of how much he works (assume he spends all of his welfare payments on consumption). What is Keith’s reservation wage? (ii) Suppose Danny receives the same welfare payments each week as Keith and has the same number of available hours (110). However, Danny’s indifference curve is flatter than Keith’s. How would his reservation wage compare to Keith’s? Why?
- Suppose that a consumer has a choicebetween two goods, X and Y. If the price of X is $2 and the priceof Y is $3, how much of X and Y does the consumer purchaseper period, given an income of $17 per period? Use the followinginformation about marginal utility:Units MUX MUY1 10 52 8 43 2 34 2 25 1 2Draw the indifference curve for someone decidinghow to allocate time between work and leisure.Suppose the wage increases. Is it possible that theperson’s consumption would fall? Is this plausible?Discuss. (Hint: Think about income and substitutioneffects.)You found your utility preference given by U (w, d) = w√d where w is your wage, and d is the amountof noise (ie - decibels) you must listen to at your job. Let’s assume you have the option to workat home in silence (where d = 36), in a cubicle office (where d = 64), or in an open-air sharedworkspace (where d = 100). Further assume the economy is in equilibrium, and you do not haveincentive to change jobs.(a) Assuming working at home gives you a wage of $100, what would your wage be working in thecubicle office? In the shared workspace?(b) What is the compensating wage differential between these jobs?(c) Explain why the wage is different in each situation, and give an example of another indus-try/situation with a compensating wage differential.
- During any year, I can consume any amount that doesnot exceed my current wealth. If I consume c dollars duringa year, I earn ca units of happiness. By the beginning of thenext year, the previous year’s ending wealth grows by afactor k.a Formulate a recursion that can be used to maximizetotal utility earned during the next T years. Assume Ioriginally have w0 dollars.b Let ft(w) be the maximum utility earned during years t, t 1, . . . , T, given that I have w dollars at the be-ginning of year t; and ct(w) be the amount that should be consumed during year t to attain ft(w). By workingbackward, show that for appropriately chosen constantsat and bt,ft(w) btwa and ct(w) atwInterpret these results.Consumption when young and consumption whenold are both normal goods for Seymour, a workersaving for retirement. When the interest rate falls,what happens to Seymour’s consumption when old?a. It definitely increases.b. It definitely decreases.c. It increases only if the substitution effect exceedsthe income effect.d. It decreases only if the substitution effectexceeds the income effect.Terry’s utility function over leisure (L) and other goods (Y ) is U(L, Y ) = Y + LY. The associated marginal utilities are MUY = 1 + L and MUL = Y. He purchases other goods at a price of $1, out of the income he earns from working. Show that, no matter what Terry’s wage rate, the optimal number of hours of leisure that he consumes is always the same. (a) What is the number of hours he would like to have for leisure? Determine the MRS of leisure for labour (b) Draw a leisure-influenced labor curve