1. The utility function for an individual is given by the equation: U = X1 0.25X2 0.75 and their budget constraint is P1X1 + P2X2 = M (i) Using the Lagrange, and showing all work, Derive the demand functions for good X1 and good X2 (ii) Given that the price for good 1, p1= k2.5 and the price for good 2, p2=k5, and the consumer's income is k100. Calculate and graphically present the optimal choice for good 1 and good 2
1. The utility function for an individual is given by the equation: U = X1 0.25X2 0.75 and their budget constraint is P1X1 + P2X2 = M (i) Using the Lagrange, and showing all work, Derive the demand functions for good X1 and good X2 (ii) Given that the price for good 1, p1= k2.5 and the price for good 2, p2=k5, and the consumer's income is k100. Calculate and graphically present the optimal choice for good 1 and good 2
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![1. The utility function for an individual is given by the equation: U = X1 0.25X2
0.75 and their budget constraint is P1x1 + P2X2 = M (1) Using the Lagrange,
and showing all work, Derive the demand functions for good X1 and good X2
(ii) Given that the price for good 1, p1= k2.5 and the price for good 2, p2=k5,
and the consumer's income is k100. Calculate and graphically present the
optimal choice for good 1 and good 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F72d02435-63a1-4da0-a239-5881cac4eca0%2Fd1cc3ca6-0086-4266-8c1b-48c5ac9b4d99%2Fnskt1nj_processed.png&w=3840&q=75)
Transcribed Image Text:1. The utility function for an individual is given by the equation: U = X1 0.25X2
0.75 and their budget constraint is P1x1 + P2X2 = M (1) Using the Lagrange,
and showing all work, Derive the demand functions for good X1 and good X2
(ii) Given that the price for good 1, p1= k2.5 and the price for good 2, p2=k5,
and the consumer's income is k100. Calculate and graphically present the
optimal choice for good 1 and good 2
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