Let there be three bundles containing good X and good Y; Bundle (20,10), Bundle (20,20) and bundle(9,20). If a consumer has monotonic preferences, which bundle will be preferred by him? Give reason for your answer.
CLASS 11 ECONOMICS
Answers
Given : three bundles containing good X and good Y; Bundle (20,10), Bundle (20,20) and bundle(9,20)
a consumer has monotonic preferences
To Find : which bundle will be preferred by him
Solution:
monotonic preferences : always prefers more of a commodity
there are two bundles (x₁ , y₁ ) and (x₂ , y₂)
Then (x₁ , y₁ ) will be preferred by monotonic
if x₁ > x₂ and y₁ > y₂
or if x₁ > x₂ and y₁ ≥ y₂
or if x₁ ≥ x₂ and y₁ > y₂
Bundle (x , y)
Bundle (20,10),
Bundle (20,20)
Bundle (9,20)
Bundle (20,10), vs Bundle (20,20) x: 20 = 20 and y : 10 < 20
Hence Bundle (20,20) is preferred
Bundle (9,20) vs Bundle (20,20) x: 9 < 20 and y : 20 = 20
Hence Bundle (20,20) is preferred
Bundle (20,20) has x and y maximum Hence Bundle (20,20) will be preferred
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monotonic preferences,
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