(a) A good is a luxury if it has a budget elasticity larger than 1, (i.e., good k is a luxury if εk ≡ ∂qk/∂m *m/qk> 1). Show that when a good is a luxury, then if a consumer’s total budget rises, they will raise the share of their budget they allocate to the good.    (b) Suppose m is the total budget a consumer has available to spend on three electronic products, a laptop, a phone and a tablet. Can all three of these goods simultaneously be luxuries? Why or why not?

Microeconomics
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ISBN:9781337617406
Author:Roger A. Arnold
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Chapter7: Consumer Choice: Maximizing Utility And Behavioral Economics
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  1. (a) A good is a luxury if it has a budget elasticity larger than 1, (i.e., good k is a luxury if εk ≡
    ∂qk/∂m *m/qk> 1). Show that when a good is a luxury, then if a consumer’s total budget rises, they
    will raise the share of their budget they allocate to the good. 

 

(b) Suppose m is the total budget a consumer has available to spend on three electronic products,
a laptop, a phone and a tablet. Can all three of these goods simultaneously be luxuries? Why
or why not?

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