Question

Sonya’s utility function is given by:             U = C.25L.75,MUC= .25C-0.75L0.75, MUL= .75C0.25L-0.25 Where C is income...

Sonya’s utility function is given by:

            U = C.25L.75,MUC= .25C-0.75L0.75, MUL= .75C0.25L-0.25

Where C is income and she spends her entire income on consumption, L is the number of hours spent each day in leisure. Assume that her current wage rate is $12 per hour worked, she has no non-work income, and she can work as many hours as she wishes per day (not to exceed 24 hours of course).

  1. How many hours will Sonya choose to work, how many hours will she devote to leisure activities, and how much does she choose to spend on consumption each day? (Note: use the tangency condition and budget constraint to solve).
0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
Sonya’s utility function is given by:             U = C.25L.75,MUC= .25C-0.75L0.75, MUL= .75C0.25L-0.25 Where C is income...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 1. a. Naomi's utility function: U C is consumption L is leisure 75 x In(C)+300 x...

    1. a. Naomi's utility function: U C is consumption L is leisure 75 x In(C)+300 x InL) Naomi's Budget Constraint is a little tricky Let's assume she is eligible for a government program that guarantees her S5000 a year for consumption and where the benefit is reduced by 50% for every dollar earned through working once she earns $10,000 she no longer receives the subsidy as it has been completely reduced by her income from working. If Sarah does decide...

  • 3. Jade is deciding how much to work in 2020. She derives utility from consumption,C, but...

    3. Jade is deciding how much to work in 2020. She derives utility from consumption,C, but she also really likes taking leisure time L. She must divide her available hours between work and leisure. For every hour of leisure she takes, she must work one fewer hours (meaning that the price of leisure is her hourly wage). The function that describes her preferences is given by The marginal utilities are U(C, L) = C(1/2)L(1/2) MUC = 1C(−1/2)L(1/2)2 MUL = 1C(1/2)L(−1/2)2...

  • Jack gives each of his sister $600 in non-labor income per week. Each sister has 100...

    Jack gives each of his sister $600 in non-labor income per week. Each sister has 100 hours per week to spend on labor or leisure, and each can earn a wage of $30 per hour. part a. (4 points) Suppose Allison weekly utility function can be written as U=CL2, which gives her a marginal rate of substitution (MUL/MUC) equal to 2C/L. where C is the amount of consumption (in $) and L is the hours of leisure she gets in...

  • Jack gives each of his sister $600 in non-labor income per week. Each sister has 100...

    Jack gives each of his sister $600 in non-labor income per week. Each sister has 100 hours per week to spend on labor or leisure, and each can earn a wage of $30 per hour. part a. (4 points) Allison utility is more accurately represented by the function U=CL2, which gives her a marginal rate of substitution (MUL/MUC) equal to 2C/L. where C is the amount of consumption (in $) and L is the hours of leisure she gets in...

  • Leisure-labour choice 1. Mr. Cog works in a machine factory. He can work as many hours per day as he wishes at a wa...

    Leisure-labour choice 1. Mr. Cog works in a machine factory. He can work as many hours per day as he wishes at a wage rate of w. Let C be the number of dollars he spends on consumer goods and let R be the number of hours of leisure that he chooses. (a) Mr. Cog earns $8 an hour and has 18 hours per day to devote to labor or leisure, and he has $16 of nonlabor income per day....

  • 3. Suppose an individual has a utility function U=U(M,X)=10 MX^2, where U is her utility, M...

    3. Suppose an individual has a utility function U=U(M,X)=10 MX^2, where U is her utility, M is her(daily) money income and x is her(daily) leisure hours. Each day, the individual needs 6 hours for sleeping and other essential personal matters 3. Suppose an individual has a utility function U = U(M,X) = 10 MX, where U is her utility, M is her (daily) money income and X is her (daily) leisure hours. Each day, the individual needs 6 hours for...

  • 3. Suppose an individual has a utility function U=U(M, X)=10 MX^2, where U is her utility,...

    3. Suppose an individual has a utility function U=U(M, X)=10 MX^2, where U is her utility, M is her(daily) money income and x is her(daily) leisure hours. Each day, the individual needs 6 hours for sleeping and other essential personal matters 3. Suppose an individual has a utility function U = U(M,X) = 10 MX', where U is her utility, M is her (daily) money income and X is her (daily) leisure hours. Each day, the individual needs 6 hours...

  • Problem 5 Assume that a worker has the Utility Function U(C,L) C "C" refers to consumption in dollars and &...

    Problem 5 Assume that a worker has the Utility Function U(C,L) C "C" refers to consumption in dollars and "L" to hours of leisure in a day. The worker has an offered wage of $10 per hour, 20 hours available for leisure or work per day, and $30 dollars a day from non- labour income. o 8.60 L (a) Find the budget constraint equation of the individual. (b) Find the optimal choice for the individual in terms of units of...

  • (6) Geo's utility function is described as LeY, where Le is hours of leisure per day,...

    (6) Geo's utility function is described as LeY, where Le is hours of leisure per day, and Y is disposable income per day. Geo is employed in a job with a wage of $20 per hour and has 10 hours per day that he can spend in either working or leisure. His income from working is his only source of disposable income. He does not receive any non-wage income Geo can work as many hours as he chooses, up to...

  • This problem focuses on the labor supply effects of subsidies. Assume Ann gets utility from consumption...

    This problem focuses on the labor supply effects of subsidies. Assume Ann gets utility from consumption c and leisure l. Ann chooses how many hours to supply to the labor market each day (h) but only has 16 hours per day for work and leisure (assuming 8 hours of sleep). For each hour she works, she earns an hourly wage w = 15. Assume Ann has no unearned income v = 0. 1. Write down Ann’s daily budget constraint in...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT