Question
Explain the conditions of consumer's equilibrium under utility analysis.

Answer

Conditions of consumer's equilibrium using utility approach are as follows:

  1. In case of a single commodity:

$\frac{\text{MU}_\text{X}}{\text{P}_\text{X}}=\text{MU}_\text{M}$

Or $\text{MU}_\text{X}=\text{P}_\text{X}$

$[\text{when }\text{MU}_\text{M}=1]$

  1. In case of two commodities:

$\frac{\text{MU}_\text{X}}{\text{P}_\text{X}}=\frac{\text{MU}_\text{Y}}{\text{P}_\text{Y}}=\text{MU}_\text{M}$

 

Or MUX = MUY [when MUM = 1 and PX = PY = 1]

Where,

MUX = Marginal Utility of commodity

MUY = Marginal Utility of commodity Y

PX = Price of commodity X

PY = Price of commodity Y

MUM = Marginal Utility of money

Assumptions:

  1. Marginal Utility of money and price of commodities remain constant.
  2. Law of Diminishing Marginal Utility must hold true, implying that Marginal Utility must decline as more of a commodity is consumed.

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