A consumer of two goods has utility u(x1, x2) 12. She can purchase each good i = 1, 2 at a price of pi dollars per unit. Alternatively, she can buy a discount card for fixed fee of c dollars that allows her to purchase good 1 at a price of p₁/2 dollars per unit. (The discount card has no effect on the price of good 2.) The discount card is of no value to the consumer except insofar as it reduces the price she pays for good 1. ( Find this consumer's Marshallian demand for each c> 0. Find this consumer's expenditure function for each c> 0.

A consumer of two goods has utility u(x1, x2) 12. She can purchase each good i = 1, 2 at a price of pi dollars per unit. Alternatively, she can buy a discount card for fixed fee of c dollars that allows her to purchase good 1 at a price of p₁/2 dollars per unit. (The discount card has no effect on the price of good 2.) The discount card is of no value to the consumer except insofar as it reduces the price she pays for good 1. ( Find this consumer's Marshallian demand for each c> 0. Find this consumer's expenditure function for each c> 0.

Microeconomics A Contemporary Intro

10th Edition

ISBN:9781285635101

Author:MCEACHERN

Publisher:MCEACHERN

Chapter6: Consumer Choice And Demand

Section: Chapter Questions

Problem 8QFR

See similar textbooks

Similar questions

Eren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Suppose that the Department of Welfare wants to know how much should begiven to Eren to offset his change un utility due to the price increase of an expensivemeal. Calculate the compensative variation (CV).
Eren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Calculate for the equivalent variation (EV) for the price change.
Eren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Calculate the change in consumer surplus from consuming the expensivemeals considering the price change (Hint: you need to compare his optimalconsumption bundle before and after the price change to get the change in CS).
Moe's income is $320 per week and he spends it on two goods, X and Y. Good X costs $8 and good Y costs $4 per unit. His utility function is U = 4.5XY. (a) Calculate Moe's utility-maximizing purchases of X and Y. (b) Calculate Moe's constrained utility- maximum if his income decreases by $2.00? (c) If the price of Y doubles, with no change in the price of X, by how much would his income have to increase to enable him to maintain his initial level of utility (as in part (a) above)?
If the marginal utility per dollar is not the same for each good, the consumer could on goods for which the marginal utility per her utility by spending dollar is higher. increase; more increase; less decrease; more minimize; more
A consumer has a budget of $3000 in a given period, and wishes to buy two goods, X and Y, so as to maximise his utility. The price of good X is $5 and the price of good Y is $2, and his MRS is given by the formula 2Y/X. How many units of good X will he buy in that period?
7. 3.1. Explain, with the aid of examples, the following economic concepts in terms of utility theory: 3.1.1 Total utility 3.1.2 Marginal utility 3.1.3 Weighted marginal utility 3.2 Assess how income elasticity of demand is used to define goods and services.
The graphs shows an individual consumer's supply and demand curves (Sr and Dr, respectively) for a rare, expensive good and the respective curves (Sc and Dc) for a common, inexpensive good. Use the area tool to outline the region representing the total utility the consumer obtains by purchasing the rare good. To refer to the graphing tutorial for this question type, please click here. D. Price O (15.0, 11.0) So X 12 13 14
If the utility function for a consumer is defined by U=6X^0.6Y^0.7 . Given that the consumer's income is 300 currency units and unit price of goods X and Y are 12 and 15 currency units respectively, calculate the equilibrium quantity of both goods. Compute the price elasticity of demand for both goods and interpret your results. If income and prices of the two goods increase by 50%, calculate the equilibrium quantities of both goods
a)Assume that the typical consumer always spends a small share of her overall budget on Vietnamese meals and use the utility maximization conditions to find the demand for Vietnamese food of the typical consumer (keep in mind that since utility is quasi-linear, you can find demand without information about the consumer’s weekly budget). b) Sum across consumers to find the weekly market demand for Vietnamese meals in NYC.
Marginal utility is defined as the increment to total utility that results from the consumption of one more unit of some good or service. The equation for marginal utility is: Group of answer choices The change in total utility / the change in quantity The change in total utility / the change in total revenue The change in quantity / the change in total utility Total revenue / quantity demanded
If the total utilities for the fifth and sixth units of a good consumed are 98 and 115 respectively. The marginal utility for the sixth unit is: