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Variable costs as a percentage of sales for Craig, Inc., are \( 69 \% \), current sales are \( \$ 600,000 \), and operating income is \( \$ 72,000 \). What is the amount of fixed costs? a. \( \$ 114,000 \) b. \( \$ 186,000 \) c. \( \$ 300,000 \) d. \( \$ 528,000 \)

Ask by Gross Welch. in the United States
Feb 24,2025

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Answer

Fixed costs are $114,000.

Solution

To find fixed costs, follow these steps: 1. Calculate the variable costs:   Variable costs = 69% of sales = 0.69 × $600,000 = $414,000. 2. Determine the contribution margin (sales minus variable costs):   Contribution margin = $600,000 − $414,000 = $186,000. 3. Use the fact that operating income is the contribution margin minus fixed costs:   Fixed costs = Contribution margin − Operating income   Fixed costs = $186,000 − $72,000 = $114,000. Thus, the amount of fixed costs is $114,000, which corresponds to option a.

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To find the amount of fixed costs for Craig, Inc., we can use the given information. First, let's calculate the total variable costs: Variable Costs = Sales × Variable Costs Percentage Variable Costs = \( 600,000 × 0.69 = 414,000 \) Now, we can determine the total costs by adding the operating income to the variable costs: Total Costs = Variable Costs + Fixed Costs Total Costs = \( 414,000 + \text{Fixed Costs} \) We also know that: Operating Income = Sales - Total Costs So, rearranging gives us: Fixed Costs = Sales - Variable Costs - Operating Income Fixed Costs = \( 600,000 - 414,000 - 72,000 = 114,000 \) Thus, the fixed costs amount to \( \$ 114,000 \). The correct answer is a. \( \$ 114,000 \).

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