Step 1: Understanding the Concept:
Price elasticity of demand (\(E_d\)) measures the degree of responsiveness of the quantity demanded of a good to a change in its price. There are five main degrees of price elasticity.
Step 2: Explanation of Degrees with Diagrams:
\begin{enumerate}
\item Perfectly Elastic Demand (\(E_d = \infty\)): A situation where a small or no change in price leads to an infinite change in quantity demanded. The demand curve is a horizontal line parallel to the X-axis.
\begin{center}
\begin{tikzpicture}[scale=0.6]
\draw[->] (0,0) -- (5,0) node[right] {Q}; \draw[->] (0,0) -- (0,4) node[above] {P};
\draw[thick] (0,2.5) -- (4,2.5) node[right] {D};
\draw[dashed] (0,2.5) -- (0,2.5) node[left] {P*};
\end{tikzpicture}
\end{center}
\item Perfectly Inelastic Demand (\(E_d = 0\)): A situation where the quantity demanded does not change at all, irrespective of the change in price. The demand curve is a vertical line parallel to the Y-axis.
\begin{center}
\begin{tikzpicture}[scale=0.6]
\draw[->] (0,0) -- (5,0) node[right] {Q}; \draw[->] (0,0) -- (0,4) node[above] {P};
\draw[thick] (2.5,0) -- (2.5,3.5) node[above] {D};
\draw[dashed] (2.5,0) -- (2.5,0) node[below] {Q*};
\end{tikzpicture}
\end{center}
\item Unitary Elastic Demand (\(E_d = 1\)): A situation where the percentage change in quantity demanded is exactly equal to the percentage change in price. The demand curve is a rectangular hyperbola.
\begin{center}
\begin{tikzpicture}[scale=0.6]
\draw[->] (0,0) -- (5,0) node[right] {Q}; \draw[->] (0,0) -- (0,4) node[above] {P};
\draw[thick, domain=0.8:4.5] plot (\x, {4/\x}) node[right] {D};
\end{tikzpicture}
\end{center}
\item Relatively Elastic Demand (\(E_d > 1\)): A situation where the percentage change in quantity demanded is greater than the percentage change in price. The demand curve is relatively flat.
\begin{center}
\begin{tikzpicture}[scale=0.6]
\draw[->] (0,0) -- (5,0) node[right] {Q}; \draw[->] (0,0) -- (0,4) node[above] {P};
\draw[thick] (1,3.5) -- (4,1) node[right] {D};
\end{tikzpicture}
\end{center}
\item Relatively Inelastic Demand (\(E_d < 1\)): A situation where the percentage change in quantity demanded is less than the percentage change in price. The demand curve is relatively steep.
\begin{center}
\begin{tikzpicture}[scale=0.6]
\draw[->] (0,0) -- (5,0) node[right] {Q}; \draw[->] (0,0) -- (0,4) node[above] {P};
\draw[thick] (1,3.5) -- (3,1) node[right] {D};
\end{tikzpicture}
\end{center}
\end{enumerate}
Step 3: Final Answer:
The five degrees of elasticity of demand are perfectly elastic (\(E_d = \infty\)), perfectly inelastic (\(E_d = 0\)), unitary elastic (\(E_d = 1\)), relatively elastic (\(E_d > 1\)), and relatively inelastic (\(E_d < 1\)), each represented by a demand curve with a distinct shape.
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: