An individual consumes two goods. Let prices and income in periods 0 and 1 be given p° = (pi, p2), yº and ' = (pi, p3), y', respectively. Assume that both prices are 20% lower in period 1 compared to period 0, but ncome did not change. Let the individual's indirect utility function be given by: v(p, y) = y/ /PiP2. Calculate he individual’s equivalent variation.
Q: An individual consumes goods , and 2. Let w be the wealth of individual and p,> 0 and p2 > 0 be the…
A: Since you have posted multiple questions and each question have multiple subparts, so as per the…
Q: u(x,y)=x·y2(MUx =y2,MUy =2x·y) Prove that the consumer is indifferent between the consumption…
A: Disclaimer :- Since u asked Multipart questions we are supposed to solve the first 3 parts as per…
Q: Since she has to borrow and pay interest if she wants to consume in the first period, she can…
A: It is known that: Julia has to borrow to consume in period 1
Q: True-False Questions 1. If e*(p,U) be the value function for the expenditure minimization problem,…
A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…
Q: Assume p1 = $2, p2 = $4, and Income = $100. Derive the utility-maximizing consumption bundle for the…
A: A person's consumption bundle is a collection of all the goods and services that person consumes.…
Q: Consider the following strictly quasi-concave utility function u(q1, 92) = /91 + 2/az Assume that…
A: The utility function shows the functional relationship between the utility gained and the quantity…
Q: The consumer's utility-maximising point is where... a. The consumer's marginal utility curve is…
A: Here answer is “One indifference curve is tangent to the relevant budget line.”
Q: Consider the following consumption dataset over X = R : pi (1, 2, 5) (2, 2, 0.1) 1.5 (0, 0.5, 5) (2,…
A: Here based on the given bundles and respective price levels, we can draw a matrix for different…
Q: The "useful" are hypothetical units of measurement with which we suppose it can be measure the…
A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: (b) Examine the validity of the following statements, giving reasons: (i) If a person consumes two…
A: When a person is consuming two commodities and both of the commodities are undesirable, it means…
Q: Utility maximization under constraint Lucas gets utility (satisfaction) from two goods, A and B,…
A: Given information Utility function of Lucas U=25[C-3+4D-3]-4+25 Lets take Price of C=P1 Price of…
Q: (i) Graph the budget constraint for the individual. (ii) Add to your graph the consumer’s…
A: * ANSWER :-
Q: MRS is constant along a linear indifference curve.
A: The 'marginal rate of substitution' along an indifference curve is given by MRS=-MUxMUy
Q: Consider a consumer with preferences represented by a utility function u(r1, 12) = max{r1,72}. The…
A: Indifference curves are the curves that show the different combination of two goods that gives the…
Q: (a) Show what the consumer's indifference cur- ves look like when consumption and leisure are…
A: a. When consumption and leisure are perfect substitutes, the indifference curves are negatively…
Q: Consider a consumer with the utility function U(X,Y) = xiyi and suppose that the prices of goods and…
A: Answer: Given, Utility function:UX,Y=X14Y34pX=$2pY=$3I=$880pX(new)=$3 Let us first calculate the…
Q: Suppose an individual in the Grossman model is trying to decide what to have for dinner. His options…
A: 1) The given Utillity function is: U = 3Z+H The utility for every meal For Steak and eggs U = 3(7) -…
Q: "Regular-looking" indifference curves - ones you may be familiar with from previous econ courses -…
A: Since the question you have posted consists of multiple parts, we will answer the first three parts…
Q: Derive utility maximisation of a consumer using the tool of indifference curve analysis
A: An indifference curve is defined as a curve which shows various combinations of two goods that the…
Q: Consider a strictly concave and continuously differentiable utility function U(T1, T2) describing…
A:
Q: Suppose the consumer solves the following UMP: max (x1)^2 + (x2)^2 , s.t. p1x1 + p2x2 ≤ w where…
A: U(x1,x2) = max (x1)^2 + (x2)^2 Budget line is given as p1x1 + p2x2 ≤ w where p1,p2 > 0
Q: Steve's utility for socks (q1) and other goods (q2) is given by U(q1,q2) =109¹929 The price of the…
A: In the field of economics, "utility" is a phrase that refers to the overall enjoyment that one…
Q: Under the ordinal theory, a consumer is expected to rank his or her scale of preference from the…
A: Since you have asked multiple questions, we will solve first question for you. In case you want some…
Q: Consumeri's direct utility function is of the form: %3D where 1, x2 > 0 and a is a parameter. Assume…
A: Solution- ui(x1,x2)=x1α x2(12-α) To be convex preferences, uxi11 < 0 Now, diff. the utility…
Q: Charlotte consumes two goods, 1 and 2. In order to model her preferences, she was critically…
A: Given: Income (In GHC) Unit of good 1 Price of good 1(per unit) Unit of good 2 Price of good…
Q: Suppose you are a beta-delta discounter with beta=1/2. If, on Thursday, you are indifferent between…
A: In economics, utility is a term that describes the total satisfaction gained from consuming a…
Q: Answer the question on the basis of the following two schedules, which show the amounts of…
A: "Utility is maximized at a point where the ratio of marginal utility to price of one good equates…
Q: Consider a consumer with the utility function U(X,Y) = Xiyi and suppose that the prices of goods and…
A: Substitution effect is the change in demand due to prices which is caused by the effect of…
Q: A consumer has Hicksian demand functions h(p1 p2, u)=a()*"ū and h(p1 P2, u)=(1 a)()"ū. Determine…
A: In this question we have to find the Marshallian demand function and slutskey's Equation.
Q: Consider a consumer that lives only for two periods. He works in period 1 (and gets income Y1) and…
A: "Since you have asked multiple questions ,we will solve first question for you.If you want any…
Q: An individuals utility function is given by U = 340x1 + 960x2 + 2x1x2 – 2x – x;/2, - - when the…
A:
Q: By considering the utility equation = x/y/2 and the constraint MPX+PY. Prove that the Total effect…
A:
Q: Q3. Consider a utility function: U (F,C) = FC so MU_F = C and MU_C = F. Suppose as Case 1, Total…
A: Consumer's equilibrium is a situation when he spends his given income on the purchase of one or more…
Q: sume there is consumer, his utility function is u(x,y) =8 * x0.5+y , and his budget constraint is…
A:
Q: Indicate whether the statement is true or false, and justify your answer.If a person discounts…
A: Preferences are considered to be time-inconsistent if the preferences of the person who makes…
Q: There two goods, candy and soda, available in arbitrary non-negative quantities (so the consumption…
A: In the above question, it is given that : There are two goods : candy and soda, available in…
Q: Consider the figure above, which shows the budget constraint and the indifference curves of good…
A: A budget constraint is a term used in economics to describe all different combinations of goods and…
Q: Emma has a utility functionU(x1, x2, x3) = logx1+ 0.8 logx2+ 0.72 logx3over her incomes x1, x2, x3…
A: People typically intend to forfeit small, immediate gains for larger rewards in the future, but they…
Q: Utility functions of a consumer: U = 20x10.4x20.4 Specify: a. marginal utility of each item. b. If…
A: U = 20x10.4x20.4 Marginal Utility of x1 = ∂U/∂x1= ∂(20x10.4x20.4)∂x1= (20)(0.4)x1-0.6x20.4=…
Q: The utility function of a certain consumer is U =(x1,x2)= x11/3 x22/3 , x 1and x 2 is the…
A: The utility function is a key concept in economics that quantifies preferences across a range of…
Q: Consider an individual with the following utility function: Derive step-by-step both corresponding…
A: The utility function represents the combination of two goods that gives the consumer some level of…
Q: Consider an overtime rule that requires that workers get paid double for any weekly hours over 40.…
A: Answer - "Thank you for submitting the questions.But, we are authorized to solve to one question at…
Q: I need asnwers of d,e,f. Assume there is consumer, his utility function is u(x,y) =8 * x0.5+y , and…
A: We are going to calculate MRS to find the optimal bundle of consumption in both the cases. To…
Q: Units of J MUj Units of K MUk 1 56 1 32 2 48 2 28 3 32 3 24 4 24 4 20 5 20 5 12 6 16 6 10 7 12 7 8…
A: Here Income of a consumer, and prices of J and K is given. Usi g the given information, a consumer's…
Q: Suppose that a consumer has a choicebetween two goods, X and Y. If the price of X is $2 and the…
A: Here, price of X is given as $2 and price of Y is given as $3. Marginal utility of X and yis given…
Q: Consider an individual with preferences represented by the following utility function: 1 2 U (x1, 2)…
A: Given utility function: U = x11/3 x22/3 the budget line will be represented as: P1*1 + P2*2 MUx1 =…
Q: MRS is constant along a linear indifference curve
A: An indifference curve is a curve that represents the combination of two goods that give a consumer…
Q: TRUE or FALSE. If the statement is correct, write TRUE on your answer sheet. If the statement is…
A: The substitution effect is the decrease in the sales of products due to higher prices and switching…
Q: Answer the question on the basis of the following two schedules, which show the amounts of…
A: Utility means the satisfaction level which consumer attains from consumption of a commodity.…
Calculate the individual’s equivalent variation.
Step by step
Solved in 3 steps
- An individual is faced with a choice of buying housing in one of two markets; the private market where he may buy any amount of housing he pleases at the going price, and the public housing market where he will be offered, on a take-it-or-leave-it-basis, a particular amount of housing at a price lower than that which he would pay for it on the private market. Will he necessarily choose the public housing? If so, may we conclude that he will consume more housing than he would have purchased had he been forced to buy it on the private market? (With thanks to Dr Leslie Rosenthal.)What are the determinants for an individual demand? Derive with the help of indifferencecurves and the budget constraint the optimal consumption plan. How do you transfer theoptimal consumption plan into an individual demand function?Existence of representative consumer Suppose households 1 and 2 have one-period utility functions u(c1) and w(c2), respectively, where u and w are both increasing, strictly concave, twice-differentiable functions of a scalar consumption rate. Consider the Pareto problem: Subject to the constraint c1 + c2 = c. Show that the solution of this problem has the form of a concave utility function vθ(c), which depends on the Pareto weight θ. Show that vθ(c) = θu (c1) = (1 − θ)w (c2). The function vθ(c) is the utility function of the representative consumer. Such a representative consumer always lurks within a complete markets competitive equilibrium even with heterogeneous preferences. At a competitive equilibrium, the marginal utilities of the representative agent and each and every agent are proportional.
- The utility function of a certain consumer is U =(x1,x2)= x11/3 x22/3 , x 1and x 2 is the consumption of two kinds of goods, and the consumer's income is 100. The current prices of the two kinds of goods are P 1 =1 and P 2=2 respectively, ask: 1. If the price of the first commodity increases from 1 to 2, and other factors remain unchanged, what is the total effect of the price increase on the consumption of the first commodity? According to the Slutsky decomposition principle, what are the income effect and substitution effect? 2. Calculate the amount of income compensation that changes the price of the first commodity from 1 to 2, keeping the original effect unchangedIntermediate Econmics Suppose an agent has a utility function u (x, y) = x2y2(a) Set up the expenditure minimization problem and solve for the Hicksian demand functions asfunctions of prices and utility.(b) Find the expenditure function as a function of prices and utility.Henry's utility function is u(x,y)=max{x+3y,3x+y}. (a) Suppose Henry's current consumption bundle is (2,1.5), what is his current utility level? If he consumes the bundle (1.5,2), will his utility change from the current utility level?
- Given an individual’s current consumption patterns, we know that the person is consuming in such a manner that he is maximizing his satisfaction. Given a decrease in the price of one of the goods he normally purchases, what will happen to the consumer’s total satisfaction and to the marginal utilities connected with the consumption of this particular good. a) His overall satisfaction will increase, but his satisfaction from the last unit consumed of the good with a decreased price will decrease. b) His overall satisfaction will decrease and his satisfaction from the last unit consumed of the good with a decreased price will decrease. c) His overall satisfaction will increase and his satisfaction from the last unit consumed of the good with a decreased price will increase. d) His overall satisfaction will decrease and his satisfaction from the last unit consumed of the good with a decreased price will increase. e) We cannot tell about the changes in his total utility or his marginal…The reason the substitution effect works to encourage a consumer to buy less of a product when its price increases is: a. the product is now relatively more expensive than it was before. b. other products are now relatively more expensive than they were before. c. the real income of the consumer has been increased. d. the real income of the consumer has been decreasedQ11. Consider a utility function: U (F,C) = FC so MU_F = C and MU_C = F. Suppose as Case A, Total income is $120 and per unit prices of Food (F) and Cloth (C) are $2 and $10, respectively. a. What is the value of MRS at the optimal point and what does this value mean? b. What is the optimal consumption bundle i.e (F*,C*)? c. Plot the budget line and clearly depict the point of optimality in the F (x-axis)-C (y-axis) space.
- Q12. Consider a utility function: U (F,C) = FC so MU_F = C and MU_C = F.Suppose as Case X, Total income is $100 and per unit prices of Food (F) and Cloth (C) are $2 and $15, respectively. a. What is the value of MRS at the optimal point and what does this value mean? b. What is the optimal consumption bundle i.e (F*,C*)? c. Plot the budget line and clearly depict the point of optimality in the F (x-axis)-C (y-axis) space.A consumer consumes two goods and her utility is form by Cobb-Douglas utility function. Her MRS is 0.9 * (q2/q1) Using these information find Marginal utility levels of first amd second goodsConsider an overtime rule that requires that workers get paid double for any weekly hours over 40. Draw a picture that shows how a worker decides how much to work. Label everything in your picture and explain what is happening. Consider an investment that costs $100 and pays back $10 each year as long as the person making the investment is alive. Construct an equation for the net present value of the investment. An individual has a utility function, U = AX1 X2 where X1 and X2 are consumption of goods 1 and 2. The individual also faces a budget constraint. Show mathematically how an increase in Aa§ects the individualís decisions about consumption of each good.