QUESTION 20 Gyro Company sells its only product for $77. Variable costs per unit are $35. Total fixed costs are $340,000. The company is currently selling 12,000 units. Determine the operating leverage factor at this level of sales. Round to two decimals.

FINANCIAL ACCOUNTING
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Chapter1: Financial Statements And Business Decisions
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### Question 20

Gyro Company sells its only product for $77. Variable costs per unit are $35. Total fixed costs are $340,000. The company is currently selling 12,000 units. Determine the operating leverage factor at this level of sales.

Round to two decimals.

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**Explanation:** 

In this problem, you are required to determine the operating leverage factor, which is a measure of how revenue growth translates to growth in operating income. The formula for the degree of operating leverage (DOL) is:

\[ \text{DOL} = \frac{\text{Contribution Margin}}{\text{Net Operating Income}} \]

To determine the contribution margin:

1. **Contribution Margin per Unit:** 
\[ \text{Selling Price per Unit} - \text{Variable Cost per Unit} \]
\[ = \$77 - \$35 \]
\[ = \$42 \]

2. **Total Contribution Margin:** 
\[ \text{Contribution Margin per Unit} \times \text{Number of Units Sold} \]
\[ = \$42 \times 12,000 \]
\[ = \$504,000 \]

To determine the net operating income:

3. **Net Operating Income:** 
\[ \text{Total Contribution Margin} - \text{Total Fixed Costs} \]
\[ = \$504,000 - \$340,000 \]
\[ = \$164,000 \]

Finally, we calculate the DOL:

4. **Operating Leverage Factor:** 
\[ \text{DOL} = \frac{\$504,000}{\$164,000} \]
\[ = 3.07 \]

Therefore, the operating leverage factor at the current level of sales is **3.07**.
Transcribed Image Text:### Question 20 Gyro Company sells its only product for $77. Variable costs per unit are $35. Total fixed costs are $340,000. The company is currently selling 12,000 units. Determine the operating leverage factor at this level of sales. Round to two decimals. [Text Box for Answer] --- **Click Save and Submit to save and submit. Click Save All Answers to save all answers.** --- **Explanation:** In this problem, you are required to determine the operating leverage factor, which is a measure of how revenue growth translates to growth in operating income. The formula for the degree of operating leverage (DOL) is: \[ \text{DOL} = \frac{\text{Contribution Margin}}{\text{Net Operating Income}} \] To determine the contribution margin: 1. **Contribution Margin per Unit:** \[ \text{Selling Price per Unit} - \text{Variable Cost per Unit} \] \[ = \$77 - \$35 \] \[ = \$42 \] 2. **Total Contribution Margin:** \[ \text{Contribution Margin per Unit} \times \text{Number of Units Sold} \] \[ = \$42 \times 12,000 \] \[ = \$504,000 \] To determine the net operating income: 3. **Net Operating Income:** \[ \text{Total Contribution Margin} - \text{Total Fixed Costs} \] \[ = \$504,000 - \$340,000 \] \[ = \$164,000 \] Finally, we calculate the DOL: 4. **Operating Leverage Factor:** \[ \text{DOL} = \frac{\$504,000}{\$164,000} \] \[ = 3.07 \] Therefore, the operating leverage factor at the current level of sales is **3.07**.
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