Given an income equation, $150 = ($10 x wine) + ($5 x crackers) and utility function:...
Given an income equation, $150 = ($10 x wine) + ($5 x crackers) and utility function: U = (W.75C.25)
1. Calculate the indifference curve at the optimal levels of consumption of W and C and graph.
2. Economically speaking, what is going on at that point?
3. Using the numbers from above, find the consumer equilibrium condition or rule and explain.
4. Put wine on the x axis and crackers on the y axis and find both intercept points and solve for and graph budget constraint for these two goods. What is the slope of thes budget line?
Homework Answers
Add Answer to:
Given an income equation, $150 = ($10 x wine) + ($5 x crackers)
and utility function:...
(a) Put wine x on the horizontal axis and cheese y on the vertical axis. Measure...
(a) Put wine x on the horizontal axis and cheese y on the vertical axis. Measure goods for consumer A from the lower left and goods for consumer B from the upper right. Mark the initial allocation with the letter W. Draw the indifference curves for each person through this point. Calculate utility at this allocation for both consumers. Is the initial resource allocation consistent with Pareto efficiency? Explain. (b) Solve for the contract curve of Pareto efficient allocations in...
Anything will help Consider a pure exchange economy with two goods, wine (x) and cheese (y)...
Anything will help
Consider a pure exchange economy with two goods, wine (x) and cheese (y) and two con- sumers, A and B. Let cheese be the numeraire good with price of $1. Consumer A's utility function is UA(x, y) = xy and B's utility function is UB(x, y) = min [x, y). A has an initial allocation of 10 x and no y, and B has an initial allocation of 10 units of y and no x. (a) Put...
Consider a pure exchange economy with two goods, wine (x) and cheese (y) and two con-...
Consider a pure exchange economy with two goods, wine (x) and cheese (y) and two con- sumers, A and B. Let cheese be the numeraire good with price of $1. Consumer A's utility function is UA(x; y) = 2x+y and B's utility function is UB(x; y) = xy. A's initial allocation is 10 units of x and 0 units of y. B's initial allocation is 0 units of x and 30 units of y. (a) Put wine x on the...
Question 9 1 pts Logan Roy is spending all his money income by buying mineral water...
Question 9 1 pts Logan Roy is spending all his money income by buying mineral water and popcorn. At his current consumption level, the marginal utility of mineral water is 70 and the marginal utility of popcorn is 60. The price of a bottle of mineral water is $2.00 and the price of a box of popcorn is $1.50. The utility-maximizing rule suggests that Logan should: O Increase consumption of popcorn and increase consumption of mineral water Decrease consumption of...
If pA = $10, PB = $5,Y = $75, where p is the price of a...
If pA = $10, PB = $5,Y = $75, where p is the price of a good, A and B are goods, and Y is income. Given that the utility function is U = 25A2B, determine the optimal bundle of x and yfor this consumer. Be sure to show your work and box your answers. a) Solve for the marginal utility of A and the marginal utility of B b) Solve for the relationship (trade-off) between A and B c)...
Anna spends all her income on wine (good 1) and cheese (good 2). Her utility function...
Anna spends all her income on wine (good 1) and cheese (good 2). Her utility function is u(x1; x2) = x1x2. Her income is m = $200. The prices for the two goods are p1 = $20 and p2 = $10 respectively. Find Annaís optimal consumption bundle. Show the complete calculations, and illustrate your answer graphically (draw the indi§erence curve and the budget constraint). How would your answer change to part (a) if Annaís utility function were given by v(x1;...
1. CRRA Utility Function: Constant relative risk aversion, or CRRA, utility function has been extensively used...
1. CRRA Utility Function: Constant relative risk aversion, or CRRA, utility function has been extensively used in macroeconomic analysis to represent consumer behavior. It takes the following general form u(x)- where σ is known as the curvature parameter. For the remainder of this question assume that σ>0. Assume that a representative household in a one-period model has the following preferences over consumption and leisure where l is leisure. The budget constraint is (in nominal terms) Pc nominal wage and n...
(10 Question 1: marks) Given is the Total Utility Function along with Budget Constraint: Utility Function:...
(10 Question 1: marks) Given is the Total Utility Function along with Budget Constraint: Utility Function: U (X, Y) = X°.270.3 Budget Constraint: I = XP, + YP, a. What is the consumer's marginal utility for X and for Y? b. Suppose the price of X is equal to 4 and the price of Y equal to 6. What is the utility maximizing proportion of X and Y in his consumption? {construct the budget constraint) c. If the total amount...
Sally consumes two goods, X and Y. Her utility function is given by the expression U...
Sally consumes two goods, X and Y. Her utility function is given by the expression U = 2 · XY ^2 . The current market price for X is $10, while the market price for Y is $12. Sally’s current income is $900. a. Sketch a set of two indifference curves for Sally in her consumption of X and Y. b. Write the expression for Sally’s budget constraint. Graph the budget constraint and determine its slope. c. Determine the X,Y...
3) Sally consumes two goods, X and Y. Her utility function is given by the expression...
3) Sally consumes two goods, X and Y. Her utility function is given by the expression U = 3 · XY2. The current market price for X is $10, while the market price for Y is $5. Sally's current income is $500. a. Sketch a set of two indifference curves for Sally in her consumption of X and Y. b. Write the expression for Sally's budget constraint. Graph the budget constraint and determine its slope. c. Determine the X, Y...
(a) Put wine x on the horizontal axis and cheese y on the vertical axis. Measure goods for consumer A from the lower left and goods for consumer B from the upper right. Mark the initial allocation with the letter W. Draw the indifference curves for each person through this point. Calculate utility at this allocation for both consumers. Is the initial resource allocation consistent with Pareto efficiency? Explain. (b) Solve for the contract curve of Pareto efficient allocations in...
Anything will help
Consider a pure exchange economy with two goods, wine (x) and cheese (y) and two con- sumers, A and B. Let cheese be the numeraire good with price of $1. Consumer A's utility function is UA(x, y) = xy and B's utility function is UB(x, y) = min [x, y). A has an initial allocation of 10 x and no y, and B has an initial allocation of 10 units of y and no x. (a) Put...
Question 9 1 pts Logan Roy is spending all his money income by buying mineral water and popcorn. At his current consumption level, the marginal utility of mineral water is 70 and the marginal utility of popcorn is 60. The price of a bottle of mineral water is $2.00 and the price of a box of popcorn is $1.50. The utility-maximizing rule suggests that Logan should: O Increase consumption of popcorn and increase consumption of mineral water Decrease consumption of...
If pA = $10, PB = $5,Y = $75, where p is the price of a good, A and B are goods, and Y is income. Given that the utility function is U = 25A2B, determine the optimal bundle of x and yfor this consumer. Be sure to show your work and box your answers. a) Solve for the marginal utility of A and the marginal utility of B b) Solve for the relationship (trade-off) between A and B c)...
1. CRRA Utility Function: Constant relative risk aversion, or CRRA, utility function has been extensively used in macroeconomic analysis to represent consumer behavior. It takes the following general form u(x)- where σ is known as the curvature parameter. For the remainder of this question assume that σ>0. Assume that a representative household in a one-period model has the following preferences over consumption and leisure where l is leisure. The budget constraint is (in nominal terms) Pc nominal wage and n...
(10 Question 1: marks) Given is the Total Utility Function along with Budget Constraint: Utility Function: U (X, Y) = X°.270.3 Budget Constraint: I = XP, + YP, a. What is the consumer's marginal utility for X and for Y? b. Suppose the price of X is equal to 4 and the price of Y equal to 6. What is the utility maximizing proportion of X and Y in his consumption? {construct the budget constraint) c. If the total amount...
3) Sally consumes two goods, X and Y. Her utility function is given by the expression U = 3 · XY2. The current market price for X is $10, while the market price for Y is $5. Sally's current income is $500. a. Sketch a set of two indifference curves for Sally in her consumption of X and Y. b. Write the expression for Sally's budget constraint. Graph the budget constraint and determine its slope. c. Determine the X, Y...
Most questions answered within 3 hours.
-
For the data set shown below, complete parts (a) through (d)
below. x 3 4 5...
asked 1 minute from now -
A university administrator working in student housing wants to
determine if the percentage of students residing...
asked 12 minutes ago -
3). Describe human population growth that has occurred in the
past 400 years. Use terms learned...
asked 9 minutes ago -
A
projectile is blue at a target. The distance from the point of
impact to the...
asked 33 minutes ago -
Given a 32 bit processor, with 2 MB of physical RAM split into 512
frames. What...
asked 24 minutes ago -
What were the main rulings in the Supreme Court cases which are
Morgan v. Virginia (1946)...
asked 23 minutes ago -
write a five paragraph essay on how setting,
specifically culture, influences the actions of
the characters...
asked 15 minutes ago -
JAVA
Provide a simple code sample of Merge sort
asked 25 minutes ago -
Discounting cash flows involves:
A. taking the cash discount offered on a trade merchandise
B. estimating...
asked 33 minutes ago -
A solid wood door 1.00 m wide and 2.00 m high is hinged along
one side...
asked 33 minutes ago -
Raleigh Company manufactures two joint products. At the
split-off point, they have sales values of:
Product...
asked 32 minutes ago -
1. Your grandmother has invested $4000 in a mutual fund each
year on your birthday (she...
asked 34 minutes ago