Questions: Carla Vista Corp. has collected the following data concerning its maintenance costs for the past 6 months.
Units Produced Total Cost
----------------------------
July 21,240 42,480
August 37,760 56,640
September 42,480 64,900
October 25,960 44,840
November 47,200 87,910
December 44,840 73,160
Compute the variable cost per unit using the high-low method. (Round answer to 2 decimal places, e.g. 2.25.)
Variable cost per unit square
Transcript text: Current Attempt in Progress
Carla Vista Corp. has collected the following data concerning its maintenance costs for the past 6 months.
\begin{tabular}{|lcc|}
\hline & Units Produced & Total Cost \\
\hline July & 21,240 & $\$ 42,480$ \\
\hline August & 37,760 & 56,640 \\
\hline September & 42,480 & 64,900 \\
October & 25,960 & 44,840 \\
November & 47,200 & 87,910 \\
December & 44,840 & 73,160 \\
\hline
\end{tabular}
(a1)
Compute the variable cost per unit using the high-low method. (Round answer to 2 decimal places, e.g. 2.25.)
Variable cost per unit \$ $\square$
Solution
Solution Steps
Step 1: Identify Maximum and Minimum Data Points
From the collected data, we identify the maximum and minimum units produced along with their corresponding total costs:
Maximum Units Produced: \( 47200 \) (November)
Maximum Cost: \( 87910 \)
Minimum Units Produced: \( 21240 \) (July)
Minimum Cost: \( 42480 \)
Step 2: Calculate Changes in Cost and Units
Next, we calculate the changes in total cost and units produced:
Change in Total Cost:
\[
\Delta C = 87910 - 42480 = 45430
\]
Change in Units Produced:
\[
\Delta U = 47200 - 21240 = 25960
\]
Step 3: Calculate Variable Cost per Unit
Using the high-low method, we compute the variable cost per unit using the formula:
\[
\text{Variable Cost per Unit} = \frac{\Delta C}{\Delta U} = \frac{45430}{25960} \approx 1.75
\]