Mary’s utility function is U(b, c) = b + 100c − c
2
, where b is the number of silver
bells in her garden and c is the number of cockle shells. She has 500 square feet in her
garden to allocate between silver bells and cockle shells. Silver bells each take up 1
square foot and cockle shells each take up 4 square feet. She gets both kinds of seeds
for free.
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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 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...
Patty is trying to determine which of two college courses to take. If she takes the Operations Research course, she believes that she has a 10% chance of receiving an A, a 40% chance for a B, and a 50% chance for a C. If Patty takes a statistics course, she has a 70% chance for a B, a 25% chance for a C, and a 5% chance for a D. Patty wants to explore her utility function for grades,...
1. Michelle wants to hike the West Coast Trail and plans to take $900. With probability 1/10 she will loose $500 on her way. Thus she will spend $900 on her way is she is lucky, and only $400 is she is not lucky. Her utility form the trip is given by U(E) = E/?, where E is the amount of money she spends on the trip. (a) What is the Michelle's expected utility form the trip? (b) Suppose Michelle...
Consumer A has a utility function u(x,y) = xA + yA and an endowment of (x,y) = (25,5). Consumer B has a utility function u(x,y) = min{xB,yB} and an endowment (x,y) = (25,45). a. Carefully sketch the Edgeworth Box and indicate where the endowment is. b. What is A’s utility and B’s utility if they each simply consumer their endowments? c. Next, add the indifference curve for A and B, through their endowments in your Edgeworth Box. d. Find a...
Problem 2. Maggie wants to open a flower shop in Easton. She has a choice of three different floor sizes: 200 sq. feet, 500 sq. feet, and 1000 sq. feet. The monthly rent is $1 per sq. foot. Maggie estimates that if she has F sq. feet of floor space and sells y bouquets a month, her variable cost will be c.O) = Note: Given that variable cost is c.)-.the marginal cost is MC = for some F. (a) What...
Akua is a film buff who loves spending all her free time watching movies. This year, she is determined to improve your knowledge by only watching short films (S) (which take an hour to watch including prep/travel time) and long epic films (E) (which take four hours to watch including prep/travel time). Besides, other schoolwork and jobs, she has 1200 hours this year to watch films. Akua seeks to maximize her utility from watching films which can be represented by...
Nursing Facilities Case: Mary Mary is a resident in a nursing facility—and has been for the past 5 of her 87 years. Most of the time, she is withdrawn into her own little world, although she shows occasional signs of being alert to her surroundings, sometimes appearing to be confused by them. Her physical appearance is generally good. She is neat and clean, more due to the care and effort of the facility staff than to her own efforts. Her...
Kay has a set of jewellery consisting of pendant and earrings. Each piece of jewellery is worth $1,000 and the set is worth $2,000. She wants to send it to her sister, Helen, in Toronto. While she can send them free of charge, she is concerned about the safety of shipping them. She believes that the probability that the jewellery is lost in transit is 0.1. Both Kay and Helen are risk averse characterized by utility function, u(M )=sqrt M...
(30 marks) Jane lives for two periods. In the first period of her life she earns income Y1. The value of Y1 was determined by your student number. In the second period of her life, Jane is retired and does not earn any income. Jane’s decision is how much of her period one income should she save (S) in order to consume in period two. For every dollar that Jane saves in period one she has (1 + r) dollars...