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John has the following utility function that represents his preferences over food (x) and housing (y) (his only two exp...
luel 0 graae your solutions and understand your answers please show your work.The grader will choose randomly two q...
luel 0 graae your solutions and understand your answers please show your work.The grader will choose randomly two questions and grade only those two questions. Since the choice of questions to be graded is ez-post I do recommend that you solve thoroughly all the questions Problem 1 (25 Points) John has the following utility function that represents his preferences over food (a) and housing (u) (his only two expenses): and marginal utilities: for a level of wealth W and prices...
John has preferences for food F and clothing C described by a utility function U(F,C) =...
John has preferences for food F and clothing C described by a utility function U(F,C) = min (F, 2C). Suppose that food costs $1 a unit and that clothing costs $2 a unit. John has $12 to spend on food and clothing. (10 pts.) a) On a graph, draw indifference curves corresponding to u = 6, u = 10, u = 14. Make sure to label coordinates clearly. Using the graph, find the optimal choice of food and clothing. Let...
Suppose James derives utility from two goods {x,y}, characterised by the following utility function: $u(x, y)...
Suppose James derives utility from two goods {x,y},
characterised by the following utility function: $u(x, y) =
2sqrt{x} + y$: his wealth is w = 10 let py = 1:
(a) What is his optimal basket if px = 0.50? What is her
utility?
(b) What is his optimal basket and utility if px = 0.20?
(c) Find the substitution effect and the income
effect associated with the price change.
(d) What is the change in consumer
surplus?
Suppose Linda...
Caleb consumes only two goods, X and Y, and faces the following utility function: U=XY. His...
Caleb consumes only two goods, X and Y, and faces the following utility function: U=XY. His initial budget is $800, and the prices of X and Y are $12.5 and $2. What is the marginal utility for X? What is the marginal utility for Y? **Most answers should be round numbers. Answer everything to 1 decimal place, if need be** What are the amounts of X and Y that will maximize Caleb's utility? X = Y = How many X...
3. Suppose that Bob’s preferences can be represented by the utility function u(x, y) = 32x^0.5...
3. Suppose that Bob’s preferences can be represented by the utility function u(x, y) = 32x^0.5 + y. The MUx = 16x^-0.5 and MUy = 1. (a) Determine Bob’s demand functions for x and y. (b)If the price of x is $8, and Bob’s income is $1000, how many x would Bob consume? How much income would be devoted to spending on y? (c) Suppose that the price of x doubles to $16. Calculate the income and substitution effects. (d)Is...
David has the following utility function that represents his preferences over CD's (x) and Venue Tickets...
David has the following utility function that represents his preferences over CD's (x) and Venue Tickets (y). u(x,y) = x +sqrt y marginal utilities: MUx =1, Muy = (1/2) (1/y)^1/2 budget W and prices of the CD's and Tickets PxPy -Find the Demands for CD's and Venue Tickets
John earns $120 per week and likes to consume wine and cheese. His utility function is...
John earns $120 per week and likes to consume wine and cheese. His utility function is of the form ?(?, ?) = (? ^1/2)(? ^3/2) where x denotes the amount of cheese consumed and y the amount of wine. His marginal utilities are ??? = (? ^3/2) / (2? ^1/2) and ??? = (3? ^1/2)(? ^1/2) / 2 d. The price of a bottle of wine is $10 and the price of a piece of cheese is $3. What is...
Long Question #2 Consider preferences over food and housing represented by the utility function U F2/3H1/3...
Long Question #2 Consider preferences over food and housing represented by the utility function U F2/3H1/3 A. Let Income 1200, PE 2 and PH6. Find the quantity demanded of housing and food. Graph the budget constraint and the optimal bundle that you found. Make sure to include an indifference curve. Let the price of food increase to 4. Add the new budget constraint, find the new optimal bundle and add it to your graph. B.
3. A consumer's preferences over a and y are given by the utility function u(x,y) -...
3. A consumer's preferences over a and y are given by the utility function u(x,y) - 2vr 2/y. The individual's income is I $100. The price of a unit of good c is $2, while the price of a unit of good y is S1. a) Graphically describe: i. the consumer's preferences for r and y ii. the budget constraint (b) Find the optimal x that the consumer would choose. You may assume (c) What is the consumer's MRS at...
A consumer has preferences represented by the utility function u(x, y) -xlyi. (This means that a....
A consumer has preferences represented by the utility function u(x, y) -xlyi. (This means that a. What is the marginal rate of substitution? b. Suppose that the price of good x is 2, and the price of good y is 1. The consumer's income is 20. What is the optimal quantity of x and y the consumer will choose? c. Suppose the price of good x decreases to 1. The price of good y and the consumer's income are unchanged....
luel 0 graae your solutions and understand your answers please show your work.The grader will choose randomly two questions and grade only those two questions. Since the choice of questions to be graded is ez-post I do recommend that you solve thoroughly all the questions Problem 1 (25 Points) John has the following utility function that represents his preferences over food (a) and housing (u) (his only two expenses): and marginal utilities: for a level of wealth W and prices...
John has preferences for food F and clothing C described by a utility function U(F,C) = min (F, 2C). Suppose that food costs $1 a unit and that clothing costs $2 a unit. John has $12 to spend on food and clothing. (10 pts.) a) On a graph, draw indifference curves corresponding to u = 6, u = 10, u = 14. Make sure to label coordinates clearly. Using the graph, find the optimal choice of food and clothing. Let...
Suppose James derives utility from two goods {x,y},
characterised by the following utility function: $u(x, y) =
2sqrt{x} + y$: his wealth is w = 10 let py = 1:
(a) What is his optimal basket if px = 0.50? What is her
utility?
(b) What is his optimal basket and utility if px = 0.20?
(c) Find the substitution effect and the income
effect associated with the price change.
(d) What is the change in consumer
surplus?
Suppose Linda...
Long Question #2 Consider preferences over food and housing represented by the utility function U F2/3H1/3 A. Let Income 1200, PE 2 and PH6. Find the quantity demanded of housing and food. Graph the budget constraint and the optimal bundle that you found. Make sure to include an indifference curve. Let the price of food increase to 4. Add the new budget constraint, find the new optimal bundle and add it to your graph. B.
3. A consumer's preferences over a and y are given by the utility function u(x,y) - 2vr 2/y. The individual's income is I $100. The price of a unit of good c is $2, while the price of a unit of good y is S1. a) Graphically describe: i. the consumer's preferences for r and y ii. the budget constraint (b) Find the optimal x that the consumer would choose. You may assume (c) What is the consumer's MRS at...
A consumer has preferences represented by the utility function u(x, y) -xlyi. (This means that a. What is the marginal rate of substitution? b. Suppose that the price of good x is 2, and the price of good y is 1. The consumer's income is 20. What is the optimal quantity of x and y the consumer will choose? c. Suppose the price of good x decreases to 1. The price of good y and the consumer's income are unchanged....
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