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Q: Number Consumed Total Utility Marginal Utility 0 0 NA 1 9 9 2 19 10 3 27 8 4 35 9…
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Q: commodity. In other words, It is the utility derived from each additional unit. Marginal Utility…
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A: The utility function is: Ux,y=5x2+x2y+y2+6y
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A: Ans. Utility function u(x, y) = x1/2y1/2Take the partial derivative of the utility function w.r.t.…
Q: please explain the theory of marginal utility. Please include a particular product or service you…
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Q: A consumer has preferences over two goods, coconuts and fish. The consumer prefers more of each good…
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Q: please explain the theory of marginal utility. Please include a particular product or service you…
A: The literal meaning of utility is satisfaction. The concept of utility is measured under two…
Q: The table above refers to Elizabeth's utility schedule of Product A and Product B. The equilibrium…
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A: Utilty is defined as the satisfaction which the consumer gets by consuming the homogeneous units of…
Q: Assume someone has a utility function of U = Min[3X, Y]. They currently have 8 units of X and 3…
A: When utility is given in the form of U = Min(3X,Y), then it can be considered as the perfect…
Q: An individual´s utility function is U = x0.5 y0.5 While the budget constraint is…
A: MRS = MUxMUy = 0.5 x-0.5 y0.50.5 x0.5 y-0.5 = yx equating MRS to price ratio we get: yx = 14 y = x4…
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A: We have Utility function: U(a,b)=a×b+b+45 .... (1)
Q: The law of diminishing marginal utility allows us to conclude that A) demand curves slope downward…
A: Law of diminishing marginal utility states that as we consume more and more units of a commodity…
Q: Draw an optimal consumption bundle which represents that consumers are willing to pay a greater…
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Q: . Mary has two dinner options available: eating a home cooked meal for $150 per meal, or at a…
A: to show optimal choice, we need to derive the budget line for Mary. We derive this through finding…
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A: Marginal utility of x and y can be calculated from the above utility function just by differentiated…
Q: As consumption of a certain good increase, marginal utility ______ *
A: Marginal utility of consumption is the addition made to consumer's satisfaction when one more unit…
Q: It is known that the indifference curve is convex. What does this tell you about the relationship…
A: Hello, thank you for the question. Since there are multiple questions posted here, only the first…
Q: Dev likes to consume scones (Good X) and cups of coffee (Good Y). Her utility function is: U(x,y) =…
A: The following problem has been solved as follows:
Q: Assume that prices are the same as used in part a. If the marginal utility of a Yoghurt is 20, what…
A: The marginal utility of a good or service is the change in the utility from an increase in the…
Q: Total utility s the level of satisfaction a consumer receives from consuming the first good only O…
A: Since you have asked multiple question, we will solve the first question for you. If you want any…
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- The rules of politics are not always the same as the rules of economics. In discussions of setting budgets for government agencies, there is a strategy called closing the Washington Monument. When an agency faces the unwelcome prospect of a budget cut, it may decide to close a high-visibility attraction enjoyed by many people (like the Washington Monument). Explain in terms of diminishing marginal utility why the Washington Monument strategy is So misleading. Hint: If you are really trying to make the best of a budget cut, should you cut the items in your budget with tile highest marginal utility or line lowest marginal utility? Does the Washington Monument strategy cut the items with the highest marginal utility or line lowest marginal utility?Praxilla, who lived in ancient Greece, derives utility from reading poems and from eating cucumbers. Praxilla gets 30 units of marginal utility from her first poem 27 units of marginal utility from her second poem 24 units of marginal utility from her third poem, and so on, with marginal utility declining by three units for each additional poem. Praxilla gets six units of marginal utility for each of her next three cucumbers consumed, five units of marginal utility for each of her next three cucumbers consumed, four units of marginal utility for each of the following three cucumbers consumed, and so on, with marginal utility declining by one for every three cucumber consumed. A poem costs three bronze coins hut a cucumber costs only one bronze coin. Praxilla has 18 bronze coins. Sketch Praxillas budget set between poems and cucumbers, placing poems on the vertical axis and cucumbers on the horizontal axis. Start off with the choice of zero poems and 18 cucumbers, and calculate the changes in marginal utility of moving along the budget line to the next choice of one poem and 15 cucumbers. Using this step-by-step process based on marginal utility, create a table and identify Praxillas utility—maximizing choice. Compare the marginal utility of the two goods and the relative prices at the optimal choice to see if the expected relationship holds. Hint: Label the table columns: 1) Choice, 2} Marginal Gain from More Poems, 3) Marginal Loss from Fewer Cucumbers, 4) Overall Gain or Loss, 5) Is the previous choice Optimal? Label the table rows: 1) 0 Poems and 18 Cucumbers, 2) 1 Poem and 15 cucumbers, 3) 2 Poems and 12 cucumbers, 4) 3 Poems and 9 Cucumbers, 5) 4 Poems and 6 cucumbers 6) 5 Poems and 3 Cucumbers, 7) 6 Poems and 0 Cucumbers.1 Assume there are two firms in a Hoteling Linear city. One firm is located at zero and the other at one. Assume the following utility equations: U0=v−p−tx+μ, U1=v−pn−t(1−x). Where U0 is utility from buying the good from the firm located at zero, p is the price for the firm at point zero, t is the travel cost and μ is bonus utility because the firm at point zero makes people a little bit happier. U1 is utility from buying the good from the firm at point one and pn is the price. Part a) Find the indifferent consumer
- True/False/Uncertain: 1. In taking an exam, Atack, a rational student, allocates his time to the various questions so as to equalize hismarginal point utility per minute on all questions. 2. The marginal utility of food to Zecher depends only on the amount of food (and not on the amount ofhousing) and the marginal utility declines as more food is consumed; likewise for housing. Therefore,both food and housing are normal goods. (Hint: Express the optimality condition for Zecher’s [UMP], MUF/MUH = PF/PH. Notice that PF/PH is fixed. If all of an increase in income is spent on F, can the equality be maintained?)Solve; a consumer utility function is given as 64q10.5q20.25q30.4 1. what is the marginal utility of consuming commodities q1, q2 and q3 2. derive the second-order partial derivatives of the utility function with respect to the three pairs of commodities 3. show the cross partial derivatives with respect to q1 4.what is her total utility when q1 is 24, q2 is 30, and q3 is 15Find the optimal bundle using the following utility functions and budget constraints. 1. U(x,y)=lnx+yand2x+y=10 2. U(x,y)=3x+2yand3x+2y=24 3. U(a,z)=3a+2zand3a+6z=24 4. U(a,z)=a2z2 and4a+2z=485. U(x,z)=a2z3 and3a+2z=36
- 4. Two individuals, Amir and Budi, consume two goods, clothes (X) and shoes (Y). The utility functions for the two individuals are given as: Utility function of Amir, UA = 15X0.25Y0.75Utility function of Budi, UB = 25X0.5Y0.5 The current price for clothes (Px) is Rp 100,000 and the current price for shoes (PY) is Rp 150,000 a. Determine marginal rate of substitution (MRSXY)between clothes (X) and shoes (Y) for Amir and Budi! Please explain. b. Amir is currently consuming 5 units of clothes (X) and 10 units of shoes (Y), whereas Budi is consuming 12 units of clothes (X) and 8 units of shoes (Y). At this current consumption, have Amir and Budi reached the efficient allocation of clothes and shoes? If they have, explain why. If they have not, calculate the optimal allocation and explain. c. Considering the relative price between of clothes and shoes, at the current consumption, have Amir and Budi reached exchange equilibrium? Please explain d. Use the Edgeworth Box to illustrate the…4. Two individuals, Amir and Budi, consume two goods, clothes (X) and shoes (Y). The utility functions for the two individuals are given as: Utility function of Amir, UA = 15X0.25Y0.75Utility function of Budi, UB = 25X0.5Y0.5 The current price for clothes (Px) is Rp 100,000 and the current price for shoes (PY) is Rp 150,000 a. Determine marginal rate of substitution (MRSXY)between clothes (X) and shoes (Y) for Amir and Budi! Please explain. b. Amir is currently consuming 5 units of clothes (X) and 10 units of shoes (Y), whereas Budi is consuming 12 units of clothes (X) and 8 units of shoes (Y). At this current consumption, have Amir and Budi reached the efficient allocation of clothes and shoes? If they have, explain why. If they have not, calculate the optimal allocation and explain. c. Considering the relative price between of clothes and shoes, at the current consumption, have Amir and Budi reached exchange equilibrium? Please explain d. Use the Edgeworth Box to illustrate the…A consumer finds only three products, X, Y, and Z, are for sale. The amount of utility which their consumption will yield is shown in the table below. Assume that the prices of X, Y, and Z are $10, $2, and $8, respectively, and that the consumer has an income of $74 to spend. Product X Product Y Product Z Quantity Utility Marginal Utility per $ Quantity Utility Marginal Utility per $ Quantity Utility Marginal Utility per $ 1 42 NA 1 14 NA 1 32 NA 2 82 4 2 26 6 2 60 3.5 3 118 3.6 3 36 5 3 84 3 4 148 3 4 44 4 4 100 2 5 170 2.2 5 50 3 5 110 1.25 6 182 1.2 6 54 2 6 116 0.75 7 182 _0 7 56.4 _1.2 7 120 _0.5_ Why would the consumer not be maximizing utility by purchasing 2 units of X, 4 units of Y, and 1 unit of Z?
- A consumer finds only three products, X, Y, and Z, are for sale. The amount of utility which their consumption will yield is shown in the table below. Assume that the prices of X, Y, and Z are $10, $2, and $8, respectively, and that the consumer has an income of $74 to spend. Product X Product Y Product Z Quantity Utility Marginal Utility per $ Quantity Utility Marginal Utility per $ Quantity Utility Marginal Utility per $ 1 42 NA 1 14 NA 1 32 ___NA__ 2 82 4 2 26 6 2 60 __3.5_ 3 118 3.6 3 36 5 3 84 __3___ 4 148 3 4 44 4 4 100 __2___ 5 170 2.2 5 50 3 5 110 _1.25___ 6 182 1.2 6 54 2 6 116 _0.75__ 7 182 0 7 56.4 1.2 7 120 _0.5_ How many units of X, Y, and Z will the consumer buy when maximizing utility and spending all…4. Two individuals, Amir and Budi, consume two goods, clothes (X) and shoes (Y). The utility functions for the two individuals are given as: Utility function of Amir, UA = 15X0.25Y0.75Utility function of Budi, UB = 25X0.5Y0.5 The current price for clothes (Px) is Rp 100,000 and the current price for shoes (PY) is Rp 150,000 b. Amir is currently consuming 5 units of clothes (X) and 10 units of shoes (Y), whereas Budi is consuming 12 units of clothes (X) and 8 units of shoes (Y). At this current consumption, have Amir and Budi reached the efficient allocation of clothes and shoes? If they have, explain why. If they have not, calculate the optimal allocation and explain.Michelle has $7 to spend on makeup and clothes and wants to maximize her utility on her purchase. Based on the data in the table, how much makeup and clothes should Michelle purchase to maximize her utility. Show all working Makeup= $1 Clothes = $0.50Quantity Total Utility Quantity Total Utility1 28 1 122 52 2 223 72 3 304 88 4 365 100 5 406 108 6 427 112 7 428 112 8 40
