Angela has utility over consumption (C) and leisure (L) that is given byU(C,L)= (C0.5)+6(L0.5)where consumption is measured in dollars and leisure is measured in hours. Each week,Angela has 168 hours to devote to either leisure or working.Suppose Angela is offered a job that pays $10 per hour (such that, if she were to work everyhour of the week, she would earn $3,024). If Angela has no income besides that which sheearns from working, her budget constraint over consumption and leisure isC +18L = 3,024Solve for the levels of consumption and leisure that maximize Angela's utility subject to herbudget constraint. Angela's utility-maximizing consumption is $0168utility-maximizing number of leisure hours isin the blanks, and please round to the nearest whole numbers if necessary.)Herhours. (Enter only numbers

The consumer decides to have a decision among the leisure and consumption. If the consumer would…

Solve for the levels of consumption and leisure that maximize Angela's utility subject to her budget constraint. Angela's utility-maximizing consumption is $ 0 Her 168 utility-maximizing number of leisure hours is in the blanks, and please round to the nearest whole numbers if necessary.) hours. (Enter only numbers

Solve for the levels of consumption and leisure that maximize Angela's utility subject to her budget constraint. Angela's utility-maximizing consumption is $ 0 Her 168 utility-maximizing number of leisure hours is in the blanks, and please round to the nearest whole numbers if necessary.) hours. (Enter only numbers

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Ronald is an Economics students who likes to spend his leisure time of sixty hours a month doingone of two activities: watching movies at Dendy Cinemas Newtown (x), and indoor-climbing(y). A trip to the movies takes 3 hours, and each visit to the climbing gym lasts 5 hours.Further, suppose that Ronald has a fixed monthly monetary budget to spend on leisure activities. He currently exhausts this entire budget by watching two movies and visiting the climbinggym fifteen times. With this monthly budget, he would also have been able to afford exactlyseven movies and six visits to the climbing gym.Assume that both goods are perfectly divisible.(b) Show, using algebra, that Ronald’s two budget lines intersect at the bundle (x, y) =(5.5, 8.7).
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The graph given below indicates Marshall's marginal utility for two products, A and B. Marginal utility 24 20 16 12 8 4 0 (1) Quantity 1 2 3 4 5 6 2 (2) Product A MU 4 Quantity of A: Quantity of B: 6 8 Quantity per period (3) Product A (4) MU per $ Product B (at $2) MU 10 Product A Product B 12 a) From the graph above, complete columns 2 and 4 of the table above. Round your answers to whole numbers. b) If the price of both products is $1, what quantity of each good would Marshall purchase if his budget was $8? Quantity of A: Quantity of B: c) Suppose that the price of product A increases to $2. Complete column 3 of table above. d) If Marshall's budget remained the same, what quantities of each good would he now purchase?
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 ?
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.
Anya is currently consuming $1000 worth of consumption goods C and spending 30 hours in leisure I per week, where her marginal rate of substitution is 20. Assume that the price of a consumption good C is $1. This implies that she is willing to: O a. sacrifice 20 hours of leisure to get an extra $1 worth of consumption. O b. sacrifice $20 worth of consumption to enjoy the next hour of leisure. O c. her current utility will be higher by $20 if she gets one more unit of leisure. O d. she values the next unit of consumption at $20.
1. Suppose that on the island, the currency is shell beads. The going price for coconuts is 1 bead and that for fish is 1 bead. You earn 20 beads per period from your job as a harvester. Given the data in the table, your equilibrium or maximum satisfaction coconut-fish combination will be ____?coconut and ____? fish. Explain why this will be the chosen combination. 2. Compare your new total satisfaction level with the old one. Old data: 2.5 beads for coconut, 1 bead for fish (optimal combination of coconut-fish was 5 coconuts and 8 fishes). Thank you.
QUESTION 2 Which of the following is NOT a correct statement about marginal rate of substitution between leisure and consumption? MRS between leisure and consumption increases as leisure increases and consumption falls. MRS between leisure and consumption is the units of consumption goods needed to compensate a consumer when he is asked to work one unit of time so that he is as happy as before. MRS between leisure and consumption is the slope (absolute value) of indifference curves.
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