Rui's utility function isU=X+ 25XZ+Z.Let the price of good X be px, the price of good Z be normalized to $1.00, and U be her level of well-being.What is her expenditure function?Rui's expenditure function (E) isPx(U+0.04)E= 2•0.04 (Px + 1) . (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. E.g., a subscript can be created with the_ character.)5Derive her uncompensated demand curve for X. Let Y be her income.Rui's uncompensated demand curve for good X isX = 0.5Ypx-+0.02px - 0.02 . (Properly format your expression using the tools in the palette.)Derive her compensated demand curve for X.Rui's compensated demand curve for good X isX=| |: (Properly format your expression using the tools in the palette.)

Given utility function- U= X+25XZ+Z

Answered: s utility function is U=X+ 25XZ + Z.…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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05- Income and Substitution Effects Question 1
Upon graduating from UT this May, you take on a management position working at UtMax theater. You will consider the utility of seeing performance over 1 month, and suppose that at a regular price of $$$ per ticket (my assigned ticket price is 145), customers will see no performance, however with the price reduced by $5, customers will see one performance per month and when reduced by $10, customers will see two performances. As long as the number performances, x, is small, your demand function for performance can be modeled by p=D(x). Write down your demand function.
A basket of goods for a given consumer includes two goods, X and Z. Consumer income is equal to $1,500 and the prices of these two goods are as follows: Px = $25 Pz = $25 This consumer is consuming10 units of good X. Suppose that over the course of a year, the price of good X changes by 10% and the price of good Z changes by −10%. How much income would be required for the consumer to afford the same quantity of goods X and Z with the new prices? $______
Katie Kwasi's utility function is U(x₁, x₂)=5(In x₁)+x₂. Given her current income and the current relative prices, she consumes 10 units of x₁ and 15 units of x₂. If her income doubles, while prices stay constant, how many units of x₁ will she consume after the change in income? a)10 b)20 c)15 d)5
For the utility function U=Qx0.370,(1-0.37) and the budget 194 140x+6Qy find the CHANGE in optimal consumption of X if income increases by a factor of 1.4. 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).
Graphical and Intuitive Optimization Consider a consumer who must allocate their available income between the consumption of two goods, Beer and Pizza. Their preferences over Beer and Pizza adhere to the usual assumptions we have made about preferences. The indifference curve map below reflects their preferences and the budget constraint reflects current income and prices. In the simplest terms possible, define or explain the term "Marginal Utility of Beer" (MUB). In the simplest terms possible, define or explain the term "Marginal Rate of Substitution of beer for pizza" (MRSBP). In the simplest terms possible, intuitively explain the meaning of MUB/PB, where PB represents the price of one unit of Beer.
For the utility function U = Qx0.28Q (1-0.28) and the budget 137 = 11Qx+6Qy find the CHANGE in optimal consumption of X if the price of X increases by a factor of 1.6. 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).
05- Income and Substitution Effects Question 1 Suppose that a consumer had a budget of $36 to spend on Good X and Good Y. The price of Good X is $4 and the price of Good Y is $2. The store selling Good X is offer a deal where you can buy one unit of Good X and get the next unit of Good X that you buy for 50% of the original price. Determine the X-intercept of the budget line for the consumer in this situation.
For the utility function U = Qx0.46Qy(1-0.46) and the budget 100 = 11Qx + 11Qy find the CHANGE in optimal consumption of X if the price of X increases by a factor of 1.5. 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).
Consider the following utility functions. G(x,y) = -1/[ min (6x, 2y)+1] H(x,y) = min (6x,6y) L(x,y) = min (6x,2y) - 10000000000 U(x,y) = min (3x, y) W(x,y) = min (6x, y) Z(x,y) = min (x,2y) Select the function or functions, if any, representing the same preferences as function U?
Find the expenditure function corresponding to utility function u(x₁,x₂) = ln(x₁ +a)+ln(x₂+b). a.e(p₁u) = 2√P₁P₂)eu/2 b.e(p,u)=e¹(√P₁P₂)+ap₁ + bp₂ Ⓒc. e(p₁u) = 2(√P₁P₂)eu/2-ap₁-bp₂ d.elpu)=e"√√P₁P₂
(b) It is thought that a consumer measures the utility, u(x, y), of possessing a quantity, z, of apples and a quantity, y, of oranges by the formula u(x, y) = rªyla, where a is a constant. Suppose that apples cost p dollars each and oranges q dollars each. If the consumer has M dollars to spend on apples and oranges, use the method of Lagrange multipliers to find the quantity of each that he will buy in terms of a, p, q and M. [You are not required to justify the use of the method of Lagrange multipliers here.] For equally priced apples and oranges when he has one dollar to spend, he is actually observed buying one apple and two oranges. What value of a does this imply?

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