A consumer of two goods has utility u(x1, x2) 12. She can purchase each good i = 1, 2 at a price of pi dollars per unit. Alternatively, she can buy a discount card for fixed fee of c dollars that allows her to purchase good 1 at a price of p₁/2 dollars per unit. (The discount card has no effect on the price of good 2.) The discount card is of no value to the consumer except insofar as it reduces the price she pays for good 1. ( Find this consumer's Marshallian demand for each c> 0. Find this consumer's expenditure function for each c> 0.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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A consumer of two goods has utility u(x₁, x2) = x₁2. She can purchase each good i = 1,2
at a price of pi dollars per unit. Alternatively, she can buy a discount card for fixed fee of c
dollars that allows her to purchase good 1 at a price of p₁/2 dollars per unit. (The discount
card has no effect on the price of good 2.) The discount card is of no value to the consumer
except insofar as it reduces the price she pays for good 1.
(
Find this consumer's Marshallian demand for each c> 0.
Find this consumer's expenditure function for each c > 0.
Transcribed Image Text:A consumer of two goods has utility u(x₁, x2) = x₁2. She can purchase each good i = 1,2 at a price of pi dollars per unit. Alternatively, she can buy a discount card for fixed fee of c dollars that allows her to purchase good 1 at a price of p₁/2 dollars per unit. (The discount card has no effect on the price of good 2.) The discount card is of no value to the consumer except insofar as it reduces the price she pays for good 1. ( Find this consumer's Marshallian demand for each c> 0. Find this consumer's expenditure function for each c > 0.
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