2. A consumer has preferences between the total value of all other goods he consumes, x, andthat are given by the utility function U = x30w. The consumer has $40,000 ofincome to spend. Assume that price of x is $1 per unit and the price of water is pw.water, w,a. Write the consumer's objective function.Px.x + Pwiwb. Write the Lagrangian for producer's decision.Smilt erit of 1976291 = 3,002 = dierit nisge smużzAto fitened lonigiem arit el terW ic. What is his demand for water? (hint: you need three equations)zijedi votow to insome leitini griT.Aeg 0052

A utility function assesses an individual's preferences regarding different goods or services,…

A consumer has preferences between the total value of all other goods he consumes, x, and water, w, that are given by the utility function U = x30w. The consumer has $40,000 of income to spend. Assume that price of x is $1 per unit and the price of water is pw. a. Write the consumer's objective function. Px.x + Pwiw b. Write the Lagrangian for producer's decision. Smilt prit 29=3002 = dinit nisge omuzzA titened lenignem erit el 16rWi c. What is his demand for water? (hint: you need three equations)

A consumer has preferences between the total value of all other goods he consumes, x, and water, w, that are given by the utility function U = x30w. The consumer has $40,000 of income to spend. Assume that price of x is $1 per unit and the price of water is pw. a. Write the consumer's objective function. Px.x + Pwiw b. Write the Lagrangian for producer's decision. Smilt prit 29=3002 = dinit nisge omuzzA titened lenignem erit el 16rWi c. What is his demand for water? (hint: you need three equations)

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

Q6 If the utility function of consumption of a pizzas and y sodas is ry, the cost of pizzas is $5 each, the cost of sodas is $2 each, and the total amount available for snacks is $20. Find the amounts of pizzas and sodas for which consumption will be a maximum.
Suppose the utility function for goods x and y is given Utility = U(x,y) = xy +y Suppose price of both x and y is $1. You have total $10 to spend. Suppose price of x changed to $0.5. Price of y and your disposable income remain the same: a. calculates the change in the amount of good x, that is caused by the substitution effect (the effect on consumption due to a change in price holding real income or utility constant). b. calculate the change in the amount of good x, that is caused by the income effect (the effect on consumption due to a change in real income caused by a change in price).
For the utility function U = Qx0.46Qy(1-0.46) and the budget 100 = 11Qx + 11Qy find the CHANGE in optimal consumption of X if the price of X increases by a factor of 1.5. Please enter your response as a positive number with 1 decimal and 5/4 rounding (e.g. 1.15 = 1.2, 1.14 = 1.1).
A consumer has an annual budget constraint for two goods: “housing sq. ft." and "$ for everything else". Draw the budget constraint for this consumer if income (v) = $50,000 and price per sq. ft. of housing, ph, is S200. Please be sure to fully label your graph (i.e., slope, intercept, etc.). Note: plot "housing sq. ft." on the x-axis. How would this consumer's budget line change if she received a $5,000 raise and the price of housing increased to $250? Include a graph with your answer. How did the economic rate of substitution (ERS) between housing and $ for everything else change when pa changed? Please interpret the ERS both before and after the price change.
Q.7 A consumer's utility function is given by the expression: U = (0.6A"' + 0.47'"s} Determine the marginal utility functions for each commodity. Does marginal utility decrease when consumption increases? Assuming that the price of good X is Rs 15 and the price of Y is Rs 6, write the equation of the budget line and plot it when income is Rs 450. What is its slope? What does it indicate? Calculate the marginal rate of substitution of Y for X and interpret its economic meaning. Write the equation showing consumer's equilibrium condition. Obtain the equilibrium values of X and Y. Find the expressions for change in MUx due to increase in Y and change in MUy due to increase in X.
Q2. Suppose a consumer seeks to maximize the utility function U (x, y) = (x + 2) (y + 1), where and y represent the quantities of the two goods consumed. The prices of the two goods and the consumer's income are pa, py, and I. Write out the consumer's budget constraint and the Lagrangian function for the problem.
Help!
Anne is going to the grocery store to buy some fruit. She can buy either apples or oranges. Let a be the quantity of apples she buys, and let zo be the quantity of oranges she buys. Her utility function is: u(xa, xo) = ln xa + 3 ln xo Anne has y pounds to spend. The price of apples is pa and the price of oranges is po (a) (b) Write down Anne's budget constraint and utility maximization problem, and the Lagrangian associated with this utility maximization problem. Find Anne's Marshallian demand functions for apples and oranges. Find Anne's indirect utility function.
Suppose the utility function for a consumer is given by U = X + Y, where X and Y are a consumer's consumption of goods X and Y. Which of the following bundles does this consumer find indifferent between 10 units of X and 5 units of Y? You Answered a. 4 units of X, 10 units of Y b. 2 units of X, 13 units of Y c. 5 units of X, 7 units of Y d. 8 units of X, 8 units of Y
Allen has a utility function U=xy², where x is the consumption of apples and y is the consumption of bananas. Price of apple is 1 and price of bananas is 4. Allen has 30 dollars in his pocket, so how many apples and bananas will he purchase to maximize his utility? options: 10 apples and 5 bananas. 3 apples and 10 bananas. 30 apples only. none of above.
Part A . Consider an economy with the following features. • There are 100 identical consumers that derive utility from consuming three different goods: software, computers, and good m. • Each consumer decision utility function is given by U (c, 8) = 4c¹/48¹/4+m, where e denotes the amount of computers that she consumes, s denotes the amount of software that she consumes, and m denotes the amount of good m that she consumes. cand s must be non-negative, but m can take any real value. • Computers are produced by 20 identical competitive firms with a total cost function given by 10c². • Software is produced by 40 identical competitive firms with a total cost function given by 20s². . QUESTION 1: What are the equilibrium prices for software and comput- ers in equilibrium? Part B • Suppose that there is a positive technology shock in the software industry so that that the new cost function of the software firms becomes 10s². Let C and S denote, respectively, the aggregate level of…