Suppose there is a nurse who is facing the following problem: he likes consumption C but...
Problem 1 Suppose you the owner of a hospital that treats patients in a particular city and that you are the only available hospital around. Your cost structure is such that the marginal cost of treating an extra patient is equal to MC(q)= (1/2) q What is the price you would charge if you only treated privately insured patients that have the following demand curve: P(q) = 150 – q Problem 2 Now suppose that 100 elderly people moved into...
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...
) Bob is deciding how much labour he should supply. He gets utility from consumption of beer (given by C) and from leisure time (given by L), which he spends hanging out with his friend Doug. This utility is given by the following utility function: U(C, L) = ln(C) + θ ln(L) where the value of θ was determined by your student number and ln(C) denotes the natural logarithm of consumption etc. Given this utility function, Bob’s marginal utility from...
Bob is deciding how much labour he should supply. He gets utility from consumption of beer (given by C) and from leisure time (given by L), which he spends hanging out with his friend Doug. This utility is given by the following utility function: U(C, L) = ln(C) + θ ln(L) where the value of θ was determined by your student number and ln(C) denotes the natural logarithm of consumption etc. Given this utility function, Bob’s marginal utility from consumption...
Bob is deciding how much labour he should supply. He gets utility from consumption of beer (given by C) and from leisure time (given by L), which he spends hanging out with his friend Doug. This utility is given by the following utility function: U(C, L) = ln(C) + 10 ln(L). Given this utility function, Bob’s marginal utility from consumption is given by: MUC = ∂U ∂C = 1 C and his marginal utility from leisure is given by: MUL...
(40 marks) Bob is deciding how much labour he should supply. He gets utility from consumption of beer (given by C) and from leisure time (given by L), which he spends hanging out with his friend Doug. This utility is given by the following utility function: U(C, L) = ln(C) + θ ln(L) where the value of θ was determined by your student number and ln(C) denotes the natural logarithm of consumption etc. Given this utility function, Bob’s marginal utility...
(40 marks) Bob is deciding how much labour he should supply. He gets utility from consumption of beer (given by C) and from leisure time (given by L), which he spends hanging out with his friend Doug. This utility is given by the following utility function: U(C, L) = ln(C) + θ ln(L) where the value of θ was determined by your student number and ln(C) denotes the natural logarithm of consumption etc. Given this utility function, Bob’s marginal utility...
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...
7. ) Shelly's preferences for consumption and leisure can be expressed as U(C, L) (C-100) x (L-40). This utility function implies that Shelly's marginal utility of leisure is C- 100 and her marginal utility of consumption is L - 40. There are 110 (non-sleeping) hours in the week available to split between work and leisure. Shelly earns S10 per hour after taxes. She also receives $320 worth of welfare benefits each week regardless of how much she works a) Graph...
John’s utility function is represented by the following: U(C,L) = (C-400)*(L-100), where C is expenditure on consumption goods and L is hours of leisure time. Suppose that John receives $150 per week in investment income regardless of how much he works. He earns a wage of $20 per hour. Assume that John has 110 non-sleeping hours a week that could be devoted to work. a. Graph John’s budget constraint. b. Find John’s optimal amount of consumption and leisure. c. John...