Imagine a consumer - worker who has a total time endowment of 100 hours per week. He/She can use these hours for work or for leisure. All the money that he/she will gain from the work will use for consumption.
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- Refer to the labor–leisure budget constraint shown to answer the questions. This curve shows trade-offs between income and leisure that must be made over the course of one day. How much does this person earn per hour? $ At point A, how many hours of labor are selected? hourshours At point A, how many hours of leisure are selected? hoursThe lines on the graph are budget constraints, showing the tradeoff between labor and leisure. Suppose that when the wage changes, an individual chooses to move from point A to another point on the graph. For each of the other points, where would it belong on the backward bending labor supply curve? Backward‑bendingportionVerticalportionUpward‑slopingportion Answer Bank B D F C EImagine a consumer - worker who has a total time endowment of T = 100 hours per week. He can use these hours for work or for leisure. All the money that he will gain from work will be used for consumption. His utility function is U=C1/2 R¹/2 where C is consumption of consumer goods and R is consumption of leisure. The wage rate is £10 per hour, and the unit price of consumer goods is £1. Hours of labour supplied are denoted by L, where L = T - R. In light of this: į How much labour does the consumer - worker supply? ii. iii. What will the worker's labour supply be if the government sets a minimum wage at £20 per hour? What can you conclude from this for the worker's labour supply curve? Critically evaluate whether this is an efficient policy for increasing productivity. Within the context of labour supply, explain what substitution and income effects are and differentiate between the two effects in the long run and the short run.
- Prunella raises peaches where L is the number of units of labor she uses and T is the number of units of land she uses. Her output is f(L,T) = LT bushels of peaches. Currently, the cost of land is 8, the wage for labor is 9, and the price of peaches is 10. Prunella is currently maximizing her profits. Which occurences would cause the quantity of labor used to decrease? O An increase in the price of peaches O A increase in the price of labor O An increase in the Marginal Product of Labor O All of the aboveAn individual values both consumption and leisure. Suppose the individual has 1600 hours per week they can allocate between leisure and work. IF the individual works, they make a wage of $25 per hour. The individual's utility function is given as a function of leisure time, L and consumption, c: U(L, c) = L^(1/2)c ^ (1/2) a) Draw the individual's budget constraint for leisure and consumption. b) How much leisure time will the individual have when utility maximizing? c) Consider a Universal Basic Income policy like the one proposed by Andrew Yang that would give all individuals a lump -sum, unconditional cash transfer of $1,000 each month. How much leisure time will the individual have when utility maximizing with the cash transfer? d) Now suppose, instead of a cash transfer, a minimum wage of $40 per hour is implemented. How much leisure time will the individual have when utility maximizing with the cash transfer? e) What change in leisure time can be attributed to the substitution…In any given week, Anne receives satisfaction only from the consumption of goods and from the consumption of leisure L, which is measured in hours. Obviously, Anne consumes many different types of goods, but for simplicity we aggregate the dollar value of all the goods that she consumes during the week and call it C. Assume that if Anne chooses to work, the hourly wage rate is w=9 and she has to sleep 8 hours per day. (Sleeping time is not considered leisure.) Potentially, if she wants, she can work up to 7 days a week.
- Brian uses wool (K) and labour (L) to produce t-shirts (q). The production function is: q = min{1/3L, 2K}. The inputs are perfect complement.If he uses 0.5 kg of wool and 3 hours of labour, he can produce 1 t-shirt. Draw an expansion path on a diagram and derive an expression for the expansion path. How does it depend on the wage and the price of wool?Consider 5 workers who care about their consumption and continuous job satisfaction J.Their preferences are described by the utility function U(C,J) = 2C + J. There are 5 firms thatare producing the output using the production function Q(J,L) = L√20 − J1. What are the marginal rate of substitution between consumption and job satisfaction andthe marginal rate of transformation between wages and job satisfaction?2. What are the equilibrium levels of wage and job satisfaction?3. What is the slope of the wage-job satisfaction locus?In any given week, Anne receives satisfaction only from the consumption of goods and from the consumption of leisure L, which is measured in hours. Obviously, Anne consumes many different types of goods, but for simplicity we aggregate the dollar value of all the goods that she consumes during the week and call it C. Assume that if Anne chooses to work, the hourly wage rate is w =9 and she has to sleep 8 hours per day. (Sleeping time is not considered leisure.) Potentially, if she wants, she can work up to 7 days a week. If Anne chooses to devote 0 hours to leisure during the week, how much can she consume? C = If Anne chooses to devote all available hours (except those she has to sleep) to leisure during the week, how much can she consume? C = If Anne chooses to devote 27 hours to leisure during the week, how much can she consume? C =
- Imagine a consumer - worker who has a total time endowment of T = 100 hours per week. He/She can use these hours for work or for leisure. All the money that he/she will gain from the work will use for consumption. The Utility Function is U=C1/2 R¹/2 where C is consumption of consumer goods and R is consumption of leisure. The wage rate is £20 per hour, and the price of consumer goods is £1. Hours of labour supplied are denoted by L, where L = T - R. Find the utility-maximising levels of consumption and leisure. How much labour does the consumer - worker's supply?Suppose the wage rate for labor is $20 an hour and the rental rate for capital is $50 per hour. Based on this information, please answer the questions appearing below the graph. 80 70 60 50 40 30 20 10 10 20 30 40 50 60 70 80 1,000 cases Labor Draw an (approximate) is-cost line associated with an hourly budget of $1,000. Hint: Find the intercept points first. If you were to shift this line out, what is the approximate least-cost combination of labor and capital when packaging 1,000 cases of fruit juice?Assume Lorena derives utility from consumption and leisure. Through the following utility function. U=VC-R where C is consumption and R is hours of leisure consumed per day (there are 24 hours in her day). Let w be the wage rate and H be the hours of work chosen. The price of consumption goods, C, is $1. In addition, assume Lorena has $M amount of non- wage income each day. Set up the utility maximizing Lagrangian needed to maximize utility subject to the budget constraint but do not solve for the demand for C and R. a b. Draw the consumer choice model for this situation (fully label the graph). Use it to graphically derive/describe/explain her labor supply function and explain what would be true for her labor supply to rise or fall when the wage rises (you may want to draw the graph twice. Measure and explain the loss in consumer surplus using the concept of compensating variation. g. h. What is the expenditure-price elasticity equation for y? That is, the elasticity for the % change…