Answer the question on the basis of the following cost data.

\begin{tabular}{|c|c|}
\hline Output & Total Cost \\
\hline 0 & [tex][tex]$\$[/tex]24[tex]$[/tex] \\
\hline 1 & [tex]$[/tex]\[tex]$33$[/tex][/tex] \\
\hline 2 & [tex][tex]$\$[/tex]41[tex]$[/tex] \\
\hline 3 & [tex]$[/tex]\[tex]$48$[/tex][/tex] \\
\hline 4 & [tex][tex]$\$[/tex]54[tex]$[/tex] \\
\hline 5 & [tex]$[/tex]\[tex]$61$[/tex][/tex] \\
\hline 6 & [tex][tex]$\$[/tex]69[tex]$[/tex] \\
\hline
\end{tabular}

The total variable cost of producing 3 units of output is:

A. [tex]$[/tex]\[tex]$8$[/tex][/tex]
B. [tex][tex]$\$[/tex]24[tex]$[/tex]
C. [tex]$[/tex]\[tex]$16$[/tex][/tex]
D. [tex][tex]$\$[/tex]12$[/tex]



Answer :

To determine the total variable cost of producing 3 units of output based on the given cost data, follow these steps:

1. Identify the fixed cost:
- The fixed cost is the total cost when the output is zero units.
- According to the data, the total cost when output is 0 units is \[tex]$24. - Thus, the fixed cost is \$[/tex]24.

2. Determine the total cost for producing 3 units of output:
- From the given data, the total cost for producing 3 units of output is \[tex]$48. 3. Calculate the variable cost: - The variable cost is the total cost of producing a certain number of units minus the fixed cost. - Using the data, the variable cost of producing 3 units of output is calculated as follows: \[ \text{Variable Cost} = \text{Total Cost for 3 units} - \text{Fixed Cost} \] \[ \text{Variable Cost} = \$[/tex]48 - \[tex]$24 \] \[ \text{Variable Cost} = \$[/tex]24
\]

Therefore, the total variable cost of producing 3 units of output is \[tex]$24. So, the correct answer is: \[ \$[/tex]24
\]