Question
Consumer Choice Model: Suppose you have a budget of $116 to spend of pretzels and beer. Your utility function is U = 30p + 36b+
Consumer Choice Model: Suppose you have a budget of $116 to spend of pretzels and beer. Your utility function is U = 30p + 36b+ 2pb – 0.5p2 – 0.5b2. The price of a small bag of pretzels is $2, and the price of a pint of beer is $4.
a) Using calculus, set up a constrained optimization problem using the Lagrangian multiplier that derives the optimal consumption of pretzels and beer. Find the optimal values.
b) At the optimum, what are the marginal utilities of both pretzels and beer? Does the Utility-Maximizing Rule hold? i.e. MUp/Pp = MUB/PB. (Show your work).
Step by Step Solution
There are 3 Steps involved in it
Step: 1
apb 05p 0562 4pint 16 Budlget Line Gty of pretzels Qty P...Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get StartedRecommended Textbook for
Microeconomics
Authors: Douglas Bernheim, Michael Whinston
2nd edition
73375853, 978-0073375854
Students also viewed these General Management questions
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
View Answer in SolutionInn App