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

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 \$ $\square$
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Solution

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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: \[ \text{Variable Cost per Unit} = \frac{\Delta C}{\Delta U} = \frac{45430}{25960} \approx 1.75 \]

Final Answer

The variable cost per unit is: \[ \boxed{1.75} \]

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