Ronald is an Economics students who likes to spend his leisure time of sixty hours a month doing one of two activities: watching movies at Dendy Cinemas Newtown (x), and indoor-climbing (y). A trip to the movies takes 3 hours, and each visit to the climbing gym lasts 5 hours. Further, suppose that Ronald has a fixed monthly monetary budget to spend on leisure activi- ties. He currently exhausts this entire budget by watching two movies and visiting the climbing gym fifteen times. With this monthly budget, he would also have been able to afford exactly seven movies and six visits to the climbing gym. Assume that both goods are perfectly divisible. (a) Write down Ronald's money and time constraints as algebraic inequalities. (b) Show, using algebra, that Ronald's two budget lines intersect at the bundle (x, y) (5.5, 8.7). = (c) Plot Ronald's money constraint using a red dotted line. Plot Ronald's time constraint using a blue dotted line. Clearly label each constraint, any axis intercepts, and any points of intersection between the two constraints. Shade in Ronald's budget set, using solid black lines to indicate where the boundaries of the budget set are.

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter10: Consumer Choice Theory
Section: Chapter Questions
Problem 6P
icon
Related questions
Question

Also calculate monthly budget. Thanks!

Ronald is an Economics students who likes to spend his leisure time of sixty hours a month doing
one of two activities: watching movies at Dendy Cinemas Newtown (x), and indoor-climbing
(y). A trip to the movies takes 3 hours, and each visit to the climbing gym lasts 5 hours.
Further, suppose that Ronald has a fixed monthly monetary budget to spend on leisure activi-
ties. He currently exhausts this entire budget by watching two movies and visiting the climbing
gym fifteen times. With this monthly budget, he would also have been able to afford exactly
seven movies and six visits to the climbing gym.
Assume that both goods are perfectly divisible.
(a) Write down Ronald's money and time constraints as algebraic inequalities.
(b) Show, using algebra, that Ronald's two budget lines intersect at the bundle (x, y)
(5.5, 8.7).
=
(c) Plot Ronald's money constraint using a red dotted line. Plot Ronald's time constraint
using a blue dotted line. Clearly label each constraint, any axis intercepts, and any points
of intersection between the two constraints. Shade in Ronald's budget set, using solid black
lines to indicate where the boundaries of the budget set are.
Transcribed Image Text:Ronald is an Economics students who likes to spend his leisure time of sixty hours a month doing one of two activities: watching movies at Dendy Cinemas Newtown (x), and indoor-climbing (y). A trip to the movies takes 3 hours, and each visit to the climbing gym lasts 5 hours. Further, suppose that Ronald has a fixed monthly monetary budget to spend on leisure activi- ties. He currently exhausts this entire budget by watching two movies and visiting the climbing gym fifteen times. With this monthly budget, he would also have been able to afford exactly seven movies and six visits to the climbing gym. Assume that both goods are perfectly divisible. (a) Write down Ronald's money and time constraints as algebraic inequalities. (b) Show, using algebra, that Ronald's two budget lines intersect at the bundle (x, y) (5.5, 8.7). = (c) Plot Ronald's money constraint using a red dotted line. Plot Ronald's time constraint using a blue dotted line. Clearly label each constraint, any axis intercepts, and any points of intersection between the two constraints. Shade in Ronald's budget set, using solid black lines to indicate where the boundaries of the budget set are.
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Utility Maximization
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Exploring Economics
Exploring Economics
Economics
ISBN:
9781544336329
Author:
Robert L. Sexton
Publisher:
SAGE Publications, Inc
Microeconomics
Microeconomics
Economics
ISBN:
9781337617406
Author:
Roger A. Arnold
Publisher:
Cengage Learning
Economics (MindTap Course List)
Economics (MindTap Course List)
Economics
ISBN:
9781337617383
Author:
Roger A. Arnold
Publisher:
Cengage Learning