Bradley Company manufactures a single product that sells for $510 per unit and whose variable costs are $357 per unit. The company's annual fixed costs are $2,072,400. The break-even point in dollars of sales is: Multiple Choice O $8,980,400. $4,144,800. $6,908,000. $6,223,425.
Cost-Volume-Profit Analysis
Cost Volume Profit (CVP) analysis is a cost accounting method that analyses the effect of fluctuating cost and volume on the operating profit. Also known as break-even analysis, CVP determines the break-even point for varying volumes of sales and cost structures. This information helps the managers make economic decisions on a short-term basis. CVP analysis is based on many assumptions. Sales price, variable costs, and fixed costs per unit are assumed to be constant. The analysis also assumes that all units produced are sold and costs get impacted due to changes in activities. All costs incurred by the company like administrative, manufacturing, and selling costs are identified as either fixed or variable.
Marginal Costing
Marginal cost is defined as the change in the total cost which takes place when one additional unit of a product is manufactured. The marginal cost is influenced only by the variations which generally occur in the variable costs because the fixed costs remain the same irrespective of the output produced. The concept of marginal cost is used for product pricing when the customers want the lowest possible price for a certain number of orders. There is no accounting entry for marginal cost and it is only used by the management for taking effective decisions.
![**Break-Even Analysis for Bradley Company**
Bradley Company manufactures a single product that sells for $510 per unit and whose variable costs are $357 per unit. The company's annual fixed costs are $2,072,400. The break-even point in dollars of sales is:
### Question:
What is the break-even point in dollars of sales?
### Multiple Choice Options:
- A. $8,980,400.
- B. $4,144,800.
- C. $6,908,000.
- D. $6,223,425.
### Explanation:
To determine the break-even point in sales dollars, you can use the Break-Even Formula:
\[
\text{Break-Even Point (in sales dollars)} = \frac{\text{Fixed Costs}}{1 - \left(\frac{\text{Variable Costs per Unit}}{\text{Selling Price per Unit}}\right)}
\]
Where:
- Fixed Costs = $2,072,400
- Variable Costs per Unit = $357
- Selling Price per Unit = $510
Substituting the values into the formula gives:
\[
\text{Break-Even Point} = \frac{2,072,400}{1 - \left(\frac{357}{510}\right)}
\]
Simplify the fraction inside the parentheses:
\[
\frac{357}{510} = 0.7
\]
Then, 1 - 0.7 = 0.3. Now, complete the calculation:
\[
\text{Break-Even Point} = \frac{2,072,400}{0.3} \approx 6,908,000
\]
So, the correct answer is **C. $6,908,000**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F513f67aa-7739-47c0-98db-8fe9a6d204ee%2Fd62c88f3-bcc7-4fbd-994c-62815ad59681%2F3opxut_processed.jpeg&w=3840&q=75)
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