magine a consumer - worker who has a total time endowment of T = 100 hours er week. He/She can use these hours for work or for leisure. All the money at he/she will gain from the work will use for consumption. he Utility Function is
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- . An individual's utility function is given by u = 1000 x, + 450 x. + 5x, x. - 2x-x where x, is the amount of leisure measured in hours per week and x,is income earned measured in cedis per week. Det er mine the value of the marginal utilities, when x, = 138 and x= 500. Hence est imate the change in utility if the individual works for an extra hour, which increa ses earned income by GH¢ 15 per week. Does the law of diminishing ut ility hold for this function? %3DMy Moodle My Favou tion 6 An individuals utility function is given by ret rered U = 340x1 + 960x2 + 2x1x2 – 2a- a/2, ed out of when the weekly amount of leisure is x1 132 and earned income is 12 = 760 answer the following: 1. The marginal utility of x1 is ag tion 2. The marginal utility of x2 is 3. Use the small increments formula to estimate the change in the utility when r1 decreases by 1 and x2 increases by 4. The change = 4. Does the law of diminishing marginal utility hold? 5. The MRCS at a given values is Enter non-integer numerical values as decimals to at least 3 decimal places. Note: you must use a. and not , for a decimal point. Next page revious page Mock paper ► - Working from video in SVG Jump to... formatno chagpt answer urgent. The marginal rate of substitution of current consumption for future consumption is A) the slope of the indifference curve. B) minus the slope of the difference curve. C) the downward slope of the budget constraint. D) the endowment point. E) the slope of the lifetime budget constraint.
- 2nd attempt See Hint A consumer faces a tradeoff between labor (L) and leisure (R). She consumes a composite good (C). When the consumer works, she earns an hourly wage of $15.00, and she spends a maximum of 24 hours on labor and leisure, but she chooses to work 10.00 hours. Whatever time she does not spend working, she spends on leisure. She starts with an initial endowment of 11.00 units of the composite good, which she can buy and sell freely at a market price of $4.00. Given this information, what is the consumer's real wage? $ 194O See Hint A consumer faces a tradeoff between labor (L) and leisure (R). She consumes a composite good (C). When the consumer works, she earns an hourly wage of $20.00, and she spends a maximum of 24 hours on labor and leisure, but she chooses to work 7.00 hours. Whatever time she does not spend working, she spends on leisure. She starts with an initial endowment of 21.00 units of the composite good, which she can buy and sell freely at a market price of $9.00. Given this information, what is the consumer's real wage? * $ 15.56cook -int ences a) Chika has calculated the marginal utility that she derives from her paid employment and from leisure. This is presented in table below. In her ideal world, where she could work as few or as many hours as she wished, how would she allocate her sixteen waking hours? (She does need to sleep.) Hours 1 2 3 4 5 6 7 8 9 10 MU Paid Employment 80 75 70 65 60 55 50 45 40 35 MU Leisure 120 110 100 90 80 70 60 50 40 30 9 hours working and 40 hours leisure. b) Unfortunately, Chika begins to realize that unless she gets an education she will not enjoy a high salary and therefore, will not be able to afford more leisure time. She therefore decides to spend six hours each day studying (in addition to her eight hours of sleep). How will she now divide the remaining hours between work and leisure?! hours working and hours leisure. Help Save C
- Select below the answer that best completes the sentence. When an individual decides to allocate their time between labour and leisure, the opportunity cost of leisure is due to the fact that: O leisure reduces how much time left the individual has for consumption. O every hour of leisure is an hour not earning labour income. O leisure decreases the marginal utility of consumption. O most leisure activities are costly.Problem Set 1. A firm's production function is º=50L-0.01Ľ' , where L denotes the size of the workforce. Find the value of MP in the case when: (a) L=1, (b) L=10, (c) L=100, (d) L=1000 Does the law of diminishing marginal productivity apply to this particular function? 2. Show that the price elasticity of demand is constant for demand functions of the form A P = Q" where A and n are positive constants. 3. The demand and total cost functions of a good are respectively 4P+Q-16=0 and ТС %3D 4 + 20 — 10 20 a) Find expressions for TR, (profit) 1 , MR, and MC in terms of Q. b) Solve the equation dn = 0 ÕP and hence determine the value of Q which maximizes profit. c) Verify that, at the point of maximum profit, MR=MC. 4. The cost of building an office complex, x floors high, in a prime location in Accra is made up of three components: (a) GH¢10 million for the land (b) GH¢'/, million per floor (e) Specialized costs of GH¢10000× per floor. How many floors should the office complex contain if…Suppose you expect to earn $10 this year and $10 next year. Each dollar you earn this year can be either spent, or saved at an interest rate of 10%. If you want to spend more than $10 this year, you can borrow money at 10% interest and repay it next year. Next year, you plan to pay oyour debts (if any), then spend all your earnings and all your savings (if any). Draw your budget line between “dollars spent this year" and “dollars spent next year". Suppose the government imposes a 50% income tax on all your earnings this year and next year (not including your interest earnings). Draw your new budget line. Suppose the government imposes a 50% sales tax on everything you buy this year and next year. Draw your new budget line. Suppose the government imposes a 50% income tax on all your earnings this year and next year, including your interest earnings. Draw your new budget line. True or False: If interest earnings are not subject to income tax, then an income tax and a sales tax…
- What is mean by ‘Time' in types of utility ?A person is a gig worker and can choose whether and how much he works each day. When his hourly wage is $20 per hour, he works enough to earn $120 per day. His situation is represented by the blue budget line where he starts at Point A. At point A, the value for X is , the value for Z is , and he is working hours and consuming hours of leisure. Income/Consumption w IC 16 24 Leisure Today (hours) w... - O).......... OWhat is a lifetime utility function, and in what sense does it exhibit diminish-ing returns?
