Explain the term Budget constraint? If the income of the consumer increases and one of the prices of the commodity decreases at the same time, will the consumer necessarily be at least as well off? Illustrate with diagram.

Budget Constraint in Intermediate Microeconomics:

In intermediate microeconomics, the budget constraint is a fundamental concept that reflects the limitations a consumer faces when allocating their income among different goods and services. It is a graphical representation of the various combinations of two goods that a consumer can afford, given their income and the prices of the goods. The budget constraint is derived from the simple equation:

\[ I = P_x \cdot X + P_y \cdot Y \]

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- \( I \) is the consumer's income,
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