Rita has a budget of £600 to spend on theatre tickets (X) and on restaurant meals (Y). Each theatre ticket is priced at £60 (denoted by Px), whereas the price of a restaurant meal (Py) is £30. Her utility function is U(X,Y) = 8vX + Y, which gives marginal utilities MUX = and MUy = 1. Her indifference curves are convex to the origin. 4

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter4: Utility Maximization And Choice
Section: Chapter Questions
Problem 4.5P
icon
Related questions
Question

How do i do part C, D AND E?

Rita has a budget of £600 to spend on theatre tickets (X) and on restaurant meals (Y).
Each theatre ticket is priced at £60 (denoted by Px), whereas the price of a restaurant
meal (Py) is £30. Her utility function is U(X, Y) = 8\X + Y, which gives marginal utilities
MUx
4
and MUy = 1. Her indifference curves are convex to the origin.
VX
(a) Find the equation of Rita's budget line. Explain how Rita decides to spend her
budget with the aid of a diagram.
(b) Find the number of theatre tickets and restaurant meals Rita purchases.
(c) Rita receives a pay rise and so increases her budget for theatre tickets and
restaurant meals to £660. Find the number of theatre tickets and restaurant
meals Rita now purchases.
(d) For Rita are theatre tickets and restaurant meals normal goods, inferior goods or
not associated with income?
(e) Suppose the price of restaurant meals falls. How do you expect Rita's demand
for theatre tickets to change? Explain with reference to substitution and income
effects.
Transcribed Image Text:Rita has a budget of £600 to spend on theatre tickets (X) and on restaurant meals (Y). Each theatre ticket is priced at £60 (denoted by Px), whereas the price of a restaurant meal (Py) is £30. Her utility function is U(X, Y) = 8\X + Y, which gives marginal utilities MUx 4 and MUy = 1. Her indifference curves are convex to the origin. VX (a) Find the equation of Rita's budget line. Explain how Rita decides to spend her budget with the aid of a diagram. (b) Find the number of theatre tickets and restaurant meals Rita purchases. (c) Rita receives a pay rise and so increases her budget for theatre tickets and restaurant meals to £660. Find the number of theatre tickets and restaurant meals Rita now purchases. (d) For Rita are theatre tickets and restaurant meals normal goods, inferior goods or not associated with income? (e) Suppose the price of restaurant meals falls. How do you expect Rita's demand for theatre tickets to change? Explain with reference to substitution and income effects.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Receipt
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage
Economics:
Economics:
Economics
ISBN:
9781285859460
Author:
BOYES, William
Publisher:
Cengage Learning
Micro Economics For Today
Micro Economics For Today
Economics
ISBN:
9781337613064
Author:
Tucker, Irvin B.
Publisher:
Cengage,
Exploring Economics
Exploring Economics
Economics
ISBN:
9781544336329
Author:
Robert L. Sexton
Publisher:
SAGE Publications, Inc
Economics For Today
Economics For Today
Economics
ISBN:
9781337613040
Author:
Tucker
Publisher:
Cengage Learning
Microeconomics: Principles & Policy
Microeconomics: Principles & Policy
Economics
ISBN:
9781337794992
Author:
William J. Baumol, Alan S. Blinder, John L. Solow
Publisher:
Cengage Learning