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Utility & Consumer's Equilibrium · Question 57 of 73

With an income of ₹20, which combination puts the consumer in equilibrium?

Question 57

MediumOriginal question

The price of X is ₹4 and the price of Y is ₹2. A consumer's marginal utilities are:

Units12345
MU of X (utils)20161284
MU of Y (utils)1210864

With an income of ₹20, which combination puts the consumer in equilibrium?

Options for question 57

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. MU per rupee for X: 20/4, 16/4, 12/4, … = 5, 4, 3, 2, 1. For Y: 12/2, 10/2, 8/2, … = 6, 5, 4, 3, 2.

  2. At 3 X and 4 Y both ratios are 3, and spending = 3 × ₹4 + 4 × ₹2 = ₹20, the whole income.

Worth noting

2 X and 3 Y also equalise the ratios (at 4) but spend only ₹14, leaving income unspent.

Concept
Two-good equilibrium from a table
Typical time
70 s
Your time
—
The rule this testsEquilibrium with two goods
Practise this chapter →

Ten questions from Utility & Consumer's Equilibrium, at your own pace.

Practise this chapter →

Ten questions from Utility & Consumer's Equilibrium, at your own pace.