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\begin{tabular}{|l|cccc|}
\hline
Price & [tex]$D_1$[/tex] & [tex]$D_2$[/tex] & [tex]$S_1$[/tex] & [tex]$S_2$[/tex] \\
\hline
\[tex]$ 12 & 5 & 9 & 19 & 14 \\
\hline
\$[/tex] 10 & 8 & 12 & 17 & 12 \\
\hline
\[tex]$ 8 & 11 & 15 & 15 & 10 \\
\hline
\$[/tex] 6 & 13 & 18 & 13 & 8 \\
\hline
\[tex]$ 4 & 16 & 21 & 11 & 6 \\
\hline
\$[/tex] 2 & 18 & 24 & 9 & 4 \\
\hline
\end{tabular}

Refer to Table 5-1. If [tex]$D_1$[/tex] and [tex]$S_1$[/tex] represent the demand and supply schedules in a particular market, then the equilibrium price and quantity are [tex]$\qquad \qquad$[/tex] , respectively.

A. \[tex]$ 4: 11
B. \$[/tex] 6: 13
C. \$ 8: 15


Sagot :

Alright, let's determine the equilibrium price and quantity from the given table, where [tex]\(D_1\)[/tex] represents the demand and [tex]\(S_1\)[/tex] represents the supply. The equilibrium occurs where the quantity demanded equals the quantity supplied.

Let's analyze the table step by step to compare [tex]\(\$ D_1\)[/tex] with [tex]\( \S 1\)[/tex]:

[tex]\[ \begin{array}{|c|c|c|} \hline \text{Price} & \text{Quantity Demanded (} D_1 \text{)} & \text{Quantity Supplied (} S_1 \text{)} \\ \hline \$ 12 & 5 & 19 \\ \$ 10 & 8 & 17 \\ \$ 8 & 11 & 15 \\ \$ 6 & 13 & 13 \\ \$ 4 & 16 & 11 \\ \$ 2 & 18 & 9 \\ \hline \end{array} \][/tex]

We notice that the only price at which the quantity demanded ([tex]\(D_1\)[/tex]) equals the quantity supplied ([tex]\(S_1\)[/tex]) is at the price of \[tex]$6. Hence, at \$[/tex]6:

- Quantity demanded [tex]\(D_1 = 13\)[/tex]
- Quantity supplied [tex]\(S_1 = 13\)[/tex]

So, the equilibrium price and quantity are [tex]\(\$6\)[/tex] and [tex]\(13\)[/tex] units, respectively.

Therefore, the answer is:
(B) [tex]\(\$6 ; 13\)[/tex]
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