Assume w< 4. Under this assumption, the optimal number of hours of leisure is _. Choose the correct one. 0 1 W This problem considers the decisions of a consumer whose preferences are given by u(C,1)=C+4 lnl, in which C' is the quantity of consumption and I is the quantity of leisure. The consumer faces two constraints. The time constraint is given by 1 + N³ = 1 with NS as the time spent working (or the labor supply). The main advantage of working is the wages consumers receive. Consumers take wages as given (outside of their control) and obtain wage income equal to wN³. The budget constraint is C wNsT, with π as real dividend income and T as the real = lump-sum taxes paid to government.

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An 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…

Question You are the manager of a firm and you are required to optimize the Cobb Douglas function given the following parameters. The maximum amount of money available is$1600 where the price of K = 12 and the price of L=6. That is PK=12 and PL=6. The function is given as q=K0.4+L0.6. What is the constraint equation? a. none of the above b. 12K - 6L = 1600 c. 12K/6L = 1600 d. 12K+6L=1600

In a standard consumer optimization problem in microeconomics, a consumer purchases any pair of goods untilU1U2=p1p2(?), at an interior solution, where Ux is the marginal utility of good x for the consumer and px is the price of good x, where x={1,2}. What is the corresponding optimality condition for a worker-consumer in his labour-leisure optimization problem and why is it just a variation on the standard optimality condition (?)?

Winona has 80 hours to divide between leisure and labor. Her utility function is u(r,c) = f(r) + c, when r represents hours of leisure,c represents dollars of consumption, and f is strictly concave. Winona’s wage is w0= $15/hr. initially, then it rises to w1= $20/hr. (i) Explain what happens to Winona’s labor supply when the wage rises,and why. (ii) Explain how the answer to (i) would change if Winona were to win a lottery.

A) Ana decides every day how many hours to work and how much beef to consume. She spends all income earned from work each day on consumption of beef. Her utility function for free time (t, 24 hours minus hours worked) and consumption (y) is: U(t, y) = 2t + y The price per unit of beef consumed is 4 and her hourly wage is 1. • Using a diagram and appropriate algebra, explain what Ana's optimal number of hours work and units of beef consumed are each day. Ana reads a book about the impact of beef consumption on climate change and realises that there is a cost to society of her beef consumption. She takes account of this impact on society in her own decisions, incorporating a disutility of -0.03y per unit of beef consumed. She still only consumes beef and spends all income earned each day on this consumption. • Explain, using a diagram and appropriate algebra, how recognition of the impact of her consumption choice on climate change impacts on Ana's daily free time and beef consumption…

Ana decides every day how many hours to work and how much beef to consume. She spends all income earned from work each day on consumption of beef.   Her utility function for free time (t, 24 hours minus hours worked) and consumption (y) is:    U(t,y)=2t^1/2 + y The price per unit of beef consumed is 4 and her hourly wage is 1.   Using a diagram and appropriate algebra, explain what Ana’s optimal number of hours work and units of beef consumed are each day.   Ana reads a book about the impact of beef consumption on climate change and realises that there is a cost to society of her beef consumption. She takes account of this impact on society in her own decisions, incorporating a disutility of -0.03y per unit of beef consumed. She still only consumes beef and spends all income earned each day on this consumption. Explain, using a diagram and appropriate algebra, how recognition of the impact of her consumption choice on climate change impacts on Ana’s daily free time and beef…

A consumer has preferences over bundles of leisure (L) and consumption (z) respresented by the utility function u(L, r) = La and has 24 hours in the day to divide between work and lesiure. This consumer has sorme positive amount of nonwork income per day (m > 0) and is able to select how many hours they wish to work at some positive wage per hour (w > 0). Find the consumer's reservation wage as a function of m: this is the lowest wage at which the consumer will work positive hours. Equivalently, it is the highest wage at which the consumer will work zero hours. (Hint: this is all about the MRS when working zero hours.)

just subparts g and h