b-d ECNS 301 Hotnewirk #: 3 Applications of Consumer Demand 8. Consider John Doe's utility function:...
John earns $120 per week and likes to consume wine and cheese. His utility function is of the form ?(?, ?) = (? ^1/2)(? ^3/2) where x denotes the amount of cheese consumed and y the amount of wine. His marginal utilities are ??? = (? ^3/2) / (2? ^1/2) and ??? = (3? ^1/2)(? ^1/2) / 2 d. The price of a bottle of wine is $10 and the price of a piece of cheese is $3. What is...
(20 points) Suppose the government wishes to tax a utility maximizing consumer to obtain a certain amount of tax revenue. A utility maximizing consumer has utility function ?(?, ?) = √? + ?. The price of ? is $1, the price of ? is $4 and the consumer’s income is $120. (a) Suppose the government imposes sales tax ? = 1 on good ? per unit. What is the optimal consumption for good ? and good ? for the consumer...
Suppose the government wishes to tax a utility maximizing consumer to obtain a certain amount of tax revenue. A utility maximizing consumer has utility function u(x,y)= square root(x+y). The price of x is $1, the price of y is $4 and the consumers income is $120. a) Suppose the government imposes sales tax t=1 on good x per unit. What is the optimal consumption for good x and good y for the consumer under the sales tax? What is the...
Suppose Peggy consumes only two goods, gasoline and cigarettes. Her income is $120, the price of cigarettes per pack is $4 and the price of gasoline per gallon is $2. Currently, she consumes 40 gallons of gas at optimal level. a) Sketch the following budget lines. Be sure to show how you calculated the slopes and end points. (Put gas on the X axis.). b) What is optimal level consumption of cigarettes for Peggy? Use an arbitrary convex indifference curve,...
2) Chimichanga Fest Your utility function is given by U-X,X, where xi s your consumption of Chimichangas and x, is your consumption of all the other goods in the economy. Yes, you spend 60% of your budget on Chimichangas, which is totally reasonable after the Dumpling House tragedy. a) Solve the utility maximization problem, finding the uncompensated demand for x, & x, and the indirect utility function in terms of p,, p, and Y. b) Solve the expenditure minimization problem,...
3. A taxpayer has utility function U(x, L) = x ^1/2 − L where L is hours of labour supply and x is consumption. The taxpayer earns a wage of $4 per hour worked (which is fixed throughout the analysis). (a) Suppose that the government imposes a proportional (percentage) tax at rate τ on labour income, so that the taxpayer’s budget constraint is x = (1 − τ )4L. Solve for the optimal labour supply (L) and consumption (x) as...
Q1. Suppose consumer consumes two goods, X and Y. The price of X is P x , price of Y is P Y and the consumer income is m. a. Derive and interpret the budget constraint and its slope. b. If slope is -3, how will you interpret it? c. Suppose a government wants to discourage the excessive consumption of X and decides to impose a tax t 1 if someone consume more than X 1 but less than X...
please solve exercise 8.21
es the consumer buy at the higher price of beer and her new different consumption bundle from O? llicks compensation? Explain h. Using red ink, draw the draw the new budget line and label the new optimal point, Point C. books and CDs does the consumer purchase at the new prices and her original which income? old new budget line in blue ink and label the new optimal consumption bundle, Point j. Draw this new budget...
Consider a consumer whose utility function is given by U(x, y) = x^1/3 y^2/3, where x and y represent quantities of consumption of two consumer goods. (a) If the consumer’s income is $100 and the prices of x and y are both $1, how should the consumer maximize her utility? What is her maximum level of utility? (b) If the price of y rose to $2, what would be the resulting income and substitution effects? Illustrate your answer.
Homework Questions due in Week 3 Part A Demand and Supply - Market Equilibrium 1. The demand and supply functions of a good are given by Qd = 80 - 5P Qs - SP Where P. Qd, and Qs denote price, quantity demanded, and quantity supplied respectively. (0) m) ns of the dand quantity each good. De tax does the (ii) (iv) Find the inverse demand and supply functions Sketch the graphs of the demand and supply functions Find the...