Step 1: Understanding the Concept:
The relationship between the price of a commodity and the quantity demanded is explained by the Law of Demand. The law states that, other things being equal (ceteris paribus), the quantity demanded of a commodity is inversely related to its price.
This means:
\begin{itemize}
\item When the price of a commodity falls, its quantity demanded rises.
\item When the price of a commodity rises, its quantity demanded falls.
\end{itemize}
Step 2: Detailed Explanation:
This inverse relationship occurs due to two main effects:
\begin{enumerate}
\item Income Effect: When the price of a commodity falls, the real income (or purchasing power) of the consumer increases. They can now buy more of the same commodity with the same amount of money.
\item Substitution Effect: When the price of a commodity falls, it becomes relatively cheaper compared to its substitutes. Consumers will therefore substitute this cheaper good for other, now relatively more expensive, goods.
\end{enumerate}
The combined result of the income and substitution effects is that a lower price leads to a higher quantity demanded, and vice versa.
Step 3: Explanation with Diagram:
The relationship is represented by a downward-sloping demand curve.
\begin{center}
\begin{tikzpicture}
\draw[->] (0,0) -- (6,0) node[right] {Quantity Demanded};
\draw[->] (0,0) -- (0,5) node[above] {Price};
\draw[thick, color=blue] (1,4) -- (4,1) node[right] {DD (Demand Curve)};
\draw[dashed] (1.5, 3.5) -- (1.5, 0) node[below] {$Q_1$};
\draw[dashed] (1.5, 3.5) -- (0, 3.5) node[left] {$P_1$};
\draw[dashed] (3.5, 1.5) -- (3.5, 0) node[below] {$Q_2$};
\draw[dashed] (3.5, 1.5) -- (0, 1.5) node[left] {$P_2$};
\fill (1.5, 3.5) circle (2pt) node[above right] {A};
\fill (3.5, 1.5) circle (2pt) node[above right] {B};
\end{tikzpicture}
\end{center}
In the diagram above:
\begin{itemize}
\item The Y-axis represents the Price and the X-axis represents the Quantity Demanded.
\item DD is the demand curve, which slopes downwards from left to right.
\item At the initial price \(P_1\), the quantity demanded is \(Q_1\) (Point A).
\item When the price falls from \(P_1\) to \(P_2\), the quantity demanded expands from \(Q_1\) to \(Q_2\) (a movement along the curve from Point A to Point B). This is called extension or expansion of demand.
\item Conversely, if the price were to rise from \(P_2\) to \(P_1\), the quantity demanded would contract from \(Q_2\) to \(Q_1\). This is called contraction of demand.
\end{itemize}
Step 4: Final Answer:
Changes in the price of a commodity cause a change in the quantity demanded, leading to a movement along the same demand curve. A decrease in price causes an expansion in demand, while an increase in price causes a contraction in demand, illustrating an inverse relationship.
Which of the following are applicable to the individual's expenditure function?
(A) It is homogeneous of degree zero in all prices.
(B) It represents the maximum expenditure to achieve a given level of utility.
(C) It is non-decreasing in prices.
(D) It is concave in prices.
Choose the correct answer from the options given below: