Question

              Instructions: Answer all questions QUESTION ONE The utility function for a consumer utility is U=30Q11/2Q21/2....

             

Instructions: Answer all questions

QUESTION ONE

  1. The utility function for a consumer utility is U=30Q11/2Q21/2. If the price per unit of Q1 is Ksh10 and Ksh5 per unit of Q2, determine quantities Q1and Q2 that the consumer should have to maximize utility if the consumer Ksh350 budgeted.                         
  2. Assuming the two goods X and Y and two persons, analyze the exchange of goods between the two using the Edge worth Box framework indicating the Pareto efficient allocation.
  3. Clearly describe substitution effect and income effect for a fall in price for a normal good and an inferior good.                                                                                            

             

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. Clearly describe substitution effect and income effect for a fall in price for a normal...
1. Clearly describe substitution effect and income effect for a fall in price for a normal good and an inferior good. 2. The utility function for a consumer utility is U=30Q11/2Q21/2. If the price per unit of Q1 is Ksh10 and Ksh5per unit of Q2, determine quantities Q1and Q2 that the consumer should have to maximize utility if the consumer Ksh 350 budgeted. 3. Assuming the two goods X and Y and two persons, analyze the exchange of goods between...
A consumer has utility function U(q1; q2) = 4(q1)^(.5) + q2, and income y = 10....
A consumer has utility function U(q1; q2) = 4(q1)^(.5) + q2, and income y = 10. Let the price of good 2 be p2 = 1, and suppose the price of good 1 increases from p1 = 1 to p1 = 2. Find the demand function for good 1.
2. A consumer has the utility function U ( X1, X2 ) = X1 + X2...
2. A consumer has the utility function U ( X1, X2 ) = X1 + X2 + X1X2 and the budget constraint P1X1 + P2X2 = M , where M is income, and P1 and P2 are the prices of the two goods. . a. Find the consumer’s marginal rate of substitution (MRS) between the two goods. b. Use the condition (MRS = price ratio) and the budget constraint to find the demand functions for the two goods. c. Are...
3. Suppose that a consumer has a utility function given by U(X,Y) = X^.5Y^.5 . Consider...
3. Suppose that a consumer has a utility function given by U(X,Y) = X^.5Y^.5 . Consider the following bundles of goods: A = (9, 4), B = (16, 16), C = (1, 36). a. Calculate the consumer’s utility level for each bundle of goods. b. Specify the preference ordering for the bundles using the “strictly preferred to” symbol and the “indifferent to” symbol. c. Now, take the natural log of the utility function. Calculate the new utility level provided by...
1.Suppose there are two consumers, A and B. The utility functions of each consumer are given...
1.Suppose there are two consumers, A and B. The utility functions of each consumer are given by: UA(X,Y) = X^1/2*Y^1/2 UB(X,Y) = 3X + 2Y The initial endowments are: A: X = 4; Y = 4 B: X = 4; Y = 12 a) (10 points) Using an Edgeworth Box, graph the initial allocation (label it "W") and draw the indifference curve for each consumer that runs through the initial allocation. Be sure to label your graph carefully and accurately....
Suppose that a consumer has utility given by U(a,b) = ab + 10b, her income is...
Suppose that a consumer has utility given by U(a,b) = ab + 10b, her income is n, the price of a is Pa, and the price of b is Pb. a. Write the demand functions for both goods. In parts b - d you assume interior solution: b. Is each good normal or inferior? Explain. c. Is each good a normal good or a giffen good? d. Are the two goods (gross) complements or substitutes? e. Prove that these preferences...
Suppose a consumer’s utility function is given by U(X,Y) = X*Y. Also, the consumer has $360...
Suppose a consumer’s utility function is given by U(X,Y) = X*Y. Also, the consumer has $360 to spend, and the price of X, PX = 9, and the price of Y, PY = 1. a) (4 points) How much X and Y should the consumer purchase in order to maximize her utility? b) (2 points) How much total utility does the consumer receive? c) (4 points) Now suppose PX decreases to 4. What is the new bundle of X and...
(Hajikhameneh & Rietz) Answer the following questions for a consumer with utility function U(x, y) =...
(Hajikhameneh & Rietz) Answer the following questions for a consumer with utility function U(x, y) = x2 y2 and a budget constraint of g(x, y) = 2x + 4y = 40. You must show all of your work for full credit. a. What is the marginal utility of x? of y? b. In one to two sentences, define the economic meaning of the term “marginal utility.” c. What is the marginal rate of substitution for the given utility function? d....
Consider a consumer with a utility function U = x2/3y1/3, where x and y are the...
Consider a consumer with a utility function U = x2/3y1/3, where x and y are the quantities of each of the two goods consumed. A consumer faces prices for x of $2 and y of $1, and is currently consuming 10 units of good X and 30 units of good Y with all available income. What can we say about this consumption bundle? Group of answer choices a.The consumption bundle is not optimal; the consumer could increase their utility by...
. A consumer faces the following utility function: U=xM, with M representing dollars spent on all...
. A consumer faces the following utility function: U=xM, with M representing dollars spent on all goods   other than good x (therefore PM º 1). Assume that Px =$1 and I = $100.    a. Find the optimal consumption bundle and the level of utility at that bundle. Show the result from this part on a graph. Place x on the horizontal axis and M on the vertical axis.    b. Suppose the government provides the consumer with $20 worth...