Equilibrium in this context refers to the level of consumption at which utility is maximized, subject to the constraints of income available for spending and the prices of goods and services.
The equilibrium of a consumer is reached when he allocates his given income between two goods such that utility is maximized given the price of the commodity, which is referred to as equi-marginal utility or the optimal purchase rule.
Marginal Utility Theory is subjective, relies on the economist's judgements, and has very little practical application, but it is useful for explaining consumer behaviour from a theoretical perspective.
There are two approaches or theories which are used to explain how consumers established their own equilibrium level of consumption: Cardinalist approach (Marginal utility theory) and Ordinalist approach (Indifference curve analysis).
The Ordinal Approach states that the satisfaction which a consumer derives from the consumption of good or service cannot be expressed numerical units.
Rather the consumer can compare the utility accruing from different commodities and rank them in accordance with the satisfaction each commodities ( or combination of commodities )gives.
The law of diminishing marginal utility states that as a person consumes more and more of a commodity the total utility he gains will continue to increase but the marginal utility will probably fall with each additional unit consumed.
Consumer decision would be based on both the marginal utility gained by him or her from the consumption of each good as well as the prices paid for each good.
Consumer equilibrium refers to the situation, where a consumer, with limited income, achieves maximum satisfaction, without changing the manner of spending on existing expenditure.
Using marginal utility theory, it becomes evident that as the price of good x falls from $3 to $2, the consumer began to consume more of good x, as its marginal utility to price ratio increase.