Two individuals, Sam and Barb, derive utility from the hours of leisure (L) they consume and...
Cindy gains utility from consumption C and leisure L. The most leisure she can consume in any given week is 80 hours. Her utility function is: a) Derive Cindy's marginal rate of substitution (MRS) b) Suppose Cindy receives $800 each week from her grandmother regardless of how much Cindy works. What is Cindy's reservation wage?
Cindy gains utility from consumption C and leisure L. The most leisure she can consume in any given week is 80 hours. Her utility function...
2. Cindy gains utility from consumption C and leisure L. The most leisure she can consume in any given week is 80 hours. Her utility function is: U(CL)= (1/3) x L (2/3). a) Derive Cindy's marginal rate of substitution (MRS). Suppose Cindy receives $800 each week from her grandmother-regardless of how much Cindy works. What is Cindy's reservation wage? b) Suppose Cindy's wage rate is $30 per hour. Write down Cindy's budget line (including $800 received from her grandmother). Will...
Concept: Derive Individual Demand Curve The following table shows Ellie's utility from consuming slices of pie and cans of Dr. Pepper. Slices Marginal Utility Cans Marginal of from Last Slice of Utility from Dr. Pepper Last Can Pie 120 120 100 60 20 45 30 20 15 占2.5 Q. Suppose Ellie has $12 per week to spend on pie and Dr. Pepper and that the price of a slice of pie is $2.00 1.) Use the point drawing tool to...
Clark gains utility from consumption c and leisure l and his preferences for consumption and leisure can be expressed as U(c, l) = 2(√ c)(l). This utility function implies that Clark’s marginal utility of leisure is 2√ c and his marginal utility of consumption is l √ c . He has 16 hours per day to allocate between leisure (l) and work (h). His hourly wage is $12 after taxes. Clark also receives a daily check of $30 from the...
Kirpa is trying to decide how many hours to work each week. Her utility is given by the following function: U(C,H) = C2 H3 , where C represents weekly consumption and H represents weekly leisure hours. Her marginal utility with respect to consumption is MUc = 2CH3 , and her marginal utility with respect to leisure is MUH = 3C2 H2 . A) Find Kirpa's optimal H, L and C when w=$7.50 and a = $185. B) Suppose w increases...
The following table shows Ellie's utility from consuming slices
of cake and cans of Pepsi.
Suppose Ellie has $12 per week to spend on cake and Pepsi and that
the price of a slice of cake is $2.00.
1.) Use the point drawing tool to plot Ellie's demand for Pepsi
at a price of $2.00. Label this point 'A'.
2.) Use the point drawing tool to plot Ellie's demand for Pepsi
at a price of $4.00. Label this point 'B'....
1. Janet's utility depends on consumption c and leisure l. She earns a wage equal to w per hour, has an investment income equal to M(greater than or equal to) 0 and needs to sleep at least 8 hours a night. Normalize the price of consumption goods at $1. (i) Draw her indifference curves between hours of leisure and consumption, her budget line and her equilibrium choice of c and l. What is the slope of the budget line and...
Problem #1: Optimal labor supply Clark gains utility from consumption c and leisure l and his preferences for consumption and leisure can be expressed as U(c, l) = 2(√ c)(l). This utility function implies that Clark’s marginal utility of leisure is 2√ c and his marginal utility of consumption is l √ c . He has 16 hours per day to allocate between leisure (l) and work (h). His hourly wage is $12 after taxes. Clark also receives a daily...
4. Let a person's utility function over consumption, X, and leisure, L, be given by U = XL2, SO MUx = L2 and MUL = 2xL.The individual may work up to 24 hours per day at wage rate, w = $10 per hour, and he has non-labor income of $50 per day. The price of x, px, is $5. (a) Find the utility-maximizing x and L. (b) Show that at the utility- maximizing quantities of x and L, the consumer's...
4. Consider the consumption-leisure choice model we discussed in class. Suppose individual utility is represented by the function U(c, L) = min {c, 10L}, where c is consumption and L is leisure. Individuals have a total h = 16 hours that could be divided into work and leisure. Market wage rate is w = 10. (a) Sketch the individual’s indifference curve. (b) Find the optimal consumption and leisure choice. (c) Now suppose wage increases to w = 12. Find the...