Question

According to the Theory of Consumer Behaviour, Inequality p₁​x₁​+p₂​x₂​\(≤\)M is called the Consumer's ___________ .

• A. Budget
• B. Budget Set
• C. Budget Constraint
• D. Budget Behavior

Answer 1

The Correct Option is C

In economics, particularly under the Theory of Consumer Behaviour, the inequality \(p_1x_1 + p_2x_2 \leq M\) is referred to as the Consumer's Budget Constraint. This equation mathematically represents the limitations on a consumer's expenditure, where: 

• \(p_1\) and \(p_2\) are the prices of goods \(x_1\) and \(x_2\) respectively.
• \(x_1\) and \(x_2\) are the quantities of the respective goods.
• \(M\) is the consumer's income or budget.

The Budget Constraint signifies all combinations of goods \(x_1\) and \(x_2\) that a consumer can afford without exceeding their budget \(M\). Any point on or below the line described by this equation represents a feasible consumption choice for the consumer.

Answer 2

This inequality represents the consumer’s budget constraint, which outlines the limits of what a consumer can afford given their income and the prices of goods and services. The budget constraint shows the various combinations of goods and services that a consumer can purchase without exceeding their budget.

Mathematically, the budget constraint is expressed as an inequality, where the total expenditure on goods and services cannot exceed the consumer's income. It is typically represented as:

\( P_1 \cdot X_1 + P_2 \cdot X_2 \leq I \)

In this equation:

• P₁ and P₂ are the prices of two goods,
• X₁ and X₂ are the quantities of those goods purchased, and
• I is the consumer’s total income.

The budget constraint helps consumers make decisions about how to allocate their income between different goods and services. It also helps to visualize trade-offs, as moving from one combination of goods to another involves reallocating resources between the goods. The consumer’s goal is typically to maximize their utility given their budget constraint.