Suppose a consumer's satisfaction from consuming goods x and y is formulated by the equation U=X³Y². if the consumer provides a budget of 4000 to buy goods x and y the prices are 150 and 200 per unit, respectively, or the constraint function is 150x+200y=5250. calculate how many units of x and y must be purchased so that U is maximum and determine the value of U using the Lagrange method

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter4: Utility Maximization And Choice
Section: Chapter Questions
Problem 4.3P
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Suppose a consumer's satisfaction from
consuming goods x and y is formulated by
the equation U=X³Y². if the consumer
provides a budget of 4000 to buy goods x
and y the prices are 150 and 200 per unit,
respectively, or the constraint function is
150x+200y=5250. calculate how many units
of x and y must be purchased so that U is
maximum and determine the value of U
using the Lagrange method
Transcribed Image Text:Suppose a consumer's satisfaction from consuming goods x and y is formulated by the equation U=X³Y². if the consumer provides a budget of 4000 to buy goods x and y the prices are 150 and 200 per unit, respectively, or the constraint function is 150x+200y=5250. calculate how many units of x and y must be purchased so that U is maximum and determine the value of U using the Lagrange method
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