Suppose a consumer's utility is given by: u (x1, x2) = a^/x¡ + b/x2 Where a= 8, and b = 4 What is the value of MU1 (x1, x2)when x1=9 and x2=8.
Q: Consider the following utility function: U=100X^0.75 Y^0.10. A consumer faces prices of Px = $5 and…
A: Given, U=100x0.85y0.10
Q: Goluki's preferences are given by the following utility function: 1/3 1/3 U(q1, 42) = q'"* %3D where…
A: Given, Utility function: Uq1,q2=q113+q213
Q: An individual preference scale for two goods x and y is defined by the marginal rate of substitution…
A: Utility functions define the level of satisfaction or welfare of consumer with the given level of…
Q: Indifference curves are convex with respect to the origin. Thus they are steeper on the [Select ] v…
A: The indifference curve is the curve that exhibits equal utility to the consumer by the combination…
Q: Suppose that indifference curves are described by straight lines with a slope of −b. Given arbitrary…
A: Straight-line indifference curve: The straight-line indifference curve has a constant slope…
Q: Consider an agent whose preferences over any couple (r1, r2), where ri E R+ and r2 E R4, e.g.,…
A: Answer -
Q: Suppose that a consumer has the utility function u(x1,x2) : quantity of good i consumed, i = 1, 2.…
A:
Q: Find Indirect utility function of the following function U= max (X, Y) subject to the budget…
A: Maximize U = Max(X,Y) Subject to Px*X + Py*Y ≤M This is the problem with cornor solution, here at…
Q: Assume an individual's utility from consuming good #1 and good #2 is given by the following…
A: From the utility function, we can infer q1 and q2 are perfect complements and are consumed in fixed…
Q: If the utility function of a consumer is given by U(X, Y)= VX+ 2vY. Which one of the following…
A: Indifference curve is the curve which shows the combination of two goods in which consumer gets the…
Q: Show that the following utility function satisfies all axioms of consumer preference: U%3Dху х,у20
A: The utility function shows the numerical measurement of the preference and the satisfaction. The…
Q: Assume that a person's utility function is given by the following function: TU = 2X/2y/2 Assume also…
A: utility function is an important concept that measures preferences over a set of goods and services.…
Q: suppose a consumer's utility function is given by U(X,Y) = X*Y. Also the consumer has $288 to spend,…
A: Given: U(X,Y) = XYPrice of XPx=16Price of YPy=16
Q: A consumer's indirect utility function is given by v(p, Y) = pfpY°, where P1, P2; Y are prices and…
A:
Q: Assume that an individual has the following utility function: U(x, y) - 4x + 2y. F function, the MRS…
A: The utility function be U(x,y)=4x+2y
Q: Why the following variables (x1, x2 and x3) cannot be the Marshallian demand functions of a consumer…
A: The Marshallian demand function is exclusively the ordinary market demand function we have been…
Q: As a consumer moves along an indifference curve, then each point to the right will show higher…
A: Indifference curve is an indicative curve for any firm which shows combination providing equal…
Q: Consider the utility function U(x,y)=3x +6y. An agent with a budget constraint of 15x + 5y = 30 will…
A: Budget line: A budget line is a line that expresses all bundles which a consumer can purchase with…
Q: Suppose a consumer's utility function is given by U(X,Y) XY. Also, the consumer has $720 to spend.…
A:
Q: A consumer has income I and faces prices p1 and p2 for goods 1 and 2. The corresponding quantities…
A:
Q: True or false. Assuming utility positively depends on two goods, indifference curves can be upward…
A: An indifference curve is a graph that depicts the combination of two commodities that provide equal…
Q: Ceja has utility function U=A2*B2 , where A equals the number of apples she eats each week, while B…
A: utility function U=A2*B2 where A = Apples and B = Banana Income = $20 Cost of apple = 1 cost of…
Q: A consumer utility function is U=(x1,x2) Where X1 is the quantity of good 1 that is bought, X2 is…
A: Optimality of utility is attained where utility is maximized subject to budget constraint.
Q: A consumer is willing to trade 4 units of x for 1 unit of y when she is consuming bundle (8, 1). She…
A: The first bundle is (8,1). The consumer is willing to trade 4 units of x for 1 unit of y. The…
Q: A consumer has utility function U(q1, q2) min{4q1, q2}. Find the consumer's (Marshallian) %3D demand…
A: Given Utility function U(q1,q2)=min{4q1,q2} ... (1) Consumer income =y Price of good 1 =p1…
Q: Find the quantities which maximize utility, if you have the utilit functions is (n=Q1Q2+Q1+2Q2)…
A: Utility is maximised at a point where slope of an indifference curve is equal to the slope of a…
Q: What is the logarithmic transform of the utility function U= , given the budget constraint Pa, 21 +…
A: We have to find logarithmic transform of the utility function.
Q: Based on several observations, people at older ages tend to buy more luxurious products than when…
A: The diminishing marginal utility concept states that marginal utility derived from each additional…
Q: There are two goods, apples and bananas. The price of apples is PA = $2,and the price of bananas is…
A: Answer to the question is as follows:
Q: The Slutsky matrix below belongs to a consumer with a regular utility function of three goods, with…
A: As we know that Slutsky matrix is symmetric matrix. Therefore, By solving the metrics we can find…
Q: Find marginal utility MU for a consumer consuming x amount of a given commodity, where his total…
A: Utilty is defined as the satisfaction which the consumer gets by consuming the homogeneous units of…
Q: Violet buys pies (x) and champagne (y) with her income of $400 and her utility function over pies…
A: The budget line refers to the line that shows all the possible combination of two goods that a…
Q: Assuming utility positively depends on two goods, indifference curves can cross or intersect. True…
A: Indifference curve is a graphical representation which shows different level of combinations of two…
Q: QUESTION 8 If a consumer's preferences are represented by the utility function: U(x,y)=min{4x,y}…
A: This is a perfect complements utility function. Perfect complements are those goods which are…
Q: Charlie's utility function is U(xa, XB) = Ax“xr-a) AB where A > 0 and a > 0
A: Correct : 1
Q: Consumer has the following utility function U(x,y) = x1/2y1/2 , where the price of good x is 1$ per…
A: The marginal rate of substitution refers to the rate at which a consumer can sacrifice one good to…
Q: Given a utility function of 2 goods X and Y: U (X, Y) = X +Y4, the marginal utility of X [ Select ]…
A: According to the question, utility function is given as : U(X,Y)=X4+Y4 Marginal utility of good X=…
Q: Let there be two goods x and y with prices p,x and py respectively, and let M be the consumer's…
A: The indifference curve of the consumer shows the different combinations of two goods that give an…
Q: Suppose consumer are always ready to trade k units of good X for w units of good Y. Then, which of…
A: In this case, the consumer is ready to trade k units of good X for w units of good Y. This means…
Q: The utility function for an individual is given as u (x; y)= xy. Suppose that his income is S 100…
A: This individual's budget constraint: The utility function for an individual is given as u(x:y)= xy…
Q: Consider a consumer whose preferences are represented by a utility function u(a, y) = a0.5 5. Are…
A: Utility function can be defined as the measure for a group of goods and services preferred by…
Q: Consider the utility function U(x,y)=5x +2y. An agent with a budget constraint of 10x + 5y = 20 will…
A: Here, it is given thatUtility function, U(x, y) = 5x + 2y where x and y depicts that they are…
Q: If the utility function is : u= q1q2. find the slope of an indifference curve. What will be its…
A: Slope of indifference curve = Marginal rate of substitution (MRS).
Q: Suppose the function for the utility from good c is denoted as U(c)=2c2. Which of the following…
A: The total utility is defined as the total satisfaction a consumer is able to get by consuming a…
Q: You are given the following total utility function: V(C1, C2) = U(c,) + U(c2) = c,/2 + c2/4…
A:
Q: find i
A: An indifference curve is a graph which shows combination of two goods which give the consumer equal…
Q: Find the marginal utility of an additional unit of good z for a consumer with utility function = zi…
A: Marginal utility is the added satisfaction a consumer gets from having one more unit of a good or…
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
- Mats, who has reference-dependent preferences over beer and money, goes to the local pub with a friend, but is not planning on drinking any beer or spending any of his 50 Euro in cash. Let his end-of-evening outcomes in pints of beer consumed and cash be c1 and c2, respectively, and let his reference point in pints of beer and cash be r1 and r2, respectively. Then, Mats’ utility is given by v(6c1 − 6r1) + v(c2 − r2), where v(x) = x for x ≥ 0, and v(x) = 1.5x for x < 0. (a) Suppose that the price of beer is pB. Calculate Mats’ utility from drinking one pint of beer at this price. What is Mats’ utility from drinking no beer? And, comparing these two utility values, what is the maximum price pB that Mats would pay for one beer? (b) Suppose that Mats unexpectedly gets a pint of beer as part of a promotion at the pub, and incorporates its consumption into his reference point in beer. [Hint: this means that (r1, r2) = (1, 50).] Suppose that Mats could sell the beer at a price pS.…When utility function U(q1, q2)=min{ 34.6 q1, 17 q2} and q1= 33 and q2= 60 are given, find utility level consumer gains?If the consumer thinks that (x₁,x2) is at least as good as (y₁.42) and that (y₁y2) is at least as good as (x₁,x2), we can conclude that (look at the following options)
- suppose that a consumer has a utility function U(x,y) = x1/3 y2/3 At the point (x,y) = (4,7) in order to keep utility the same and get one more unit of x, the consumer would be willing to give up how many units of y ? (a) 7/4 (b) 4/7 (c) 7/8 (d) 4/14You are maxiimizing utility when :A)(MU of X)/(P of X) < (MU of Y)/(P of Y). B)(MU of X)/(P of X) > (MU of Y)/(P of Y). C)(MU of X)/(P of X) = (MU of Y)/(P of Y). D)(MU of X)/(P of Y) = (MU of Y)/(P of X).What kind of preferences are represented by a utility function of theform u(x1, x2) = √x1 + x2? What about the utility function v(x1, x2) =13x1 + 13x2?
- Assume that a∈[-1,1] and θ∈(0,2). The utility function is given by u(a,θ)=a(θ-1). Which of the following action is never optimal ex-post? a. 0 b. All can be optimal ex-post c. 1 d. -1Roxanne is considering chipping in to pay for some tree trimming in her neighborhood. If the trees are trimmed, everyone's view improves by the same amount. Roxanne's utility function is given by u(x,t)=3x+1200t, where x is the amount of money she has to spend and t is a variable that equals 1 if the trees are trimmed and 0 if they are not. 1st attempt See Hint Suppose Roxanne starts with $8000. Her utility of that amount of money without the trees being trimmed is 24000 (that is, u(8000,0)=24000). Calculate her reservation price for contributing to the tree-trimming project. $Which of the FF. statements is correct regarding the preference of the consumers when the income of the consumer can only be spent between apples and oranges? Assume that apples are written on the vertical axis while oranges are written on the horizontal axis A. when the consumer has few oranges, he is willing to trade more apple to get another orange B. when the consumer has so many oranges already, he will only exchange less apples for an orange C. the declining slope of the indifference curve shows the marginal value of oranges is declining D. all are correct E. none is correct
- Bob has a utility function U(x, y) = √x1 + 0.8√x2 + 0.64√x3 over his incomes x1, x2, x3 in the next three years. This function is an example of (A) expected utility; (B) quasi-hyperbolic utility function; (C) discounted utility; (D) none of the above. . Which of the following preferences agree with Bob’s utility? (A) (9, 10, 11) ≻ (9, 10, 12); (B) (9, 10, 11) ≻ (11, 10, 9);(C) (9, 10, 11) ≻ (9, 11, 10); (D) none of the above. Bob’s utility function implies (A) time stationarity; (B) transitivity; (C) impatience; (D) all of the above.For the utility function U = Qx0.31Qy(1-0.31) find the trade-off rate between good X and good Y at Qx= 7 and Qy=17 Please enter your response as a positive number with 1 decimal and 5/4 rounding (e.g. 1.15 = 1.2, 1.14 = 1.1).Wherein:TU = Total Utilityf= is a function ofMU = Marginal UtilityO = units of consumptionA= infinitesimal change EMV= Expected Monetary Value