Ratchet Ltd expects to sell 30,000 units this year. The selling price is set at $25 per unit. The variable cost per unit is $12 and annual fixed cost is $345,000. Assume a tax rate of 28%. Required: Calculate the following: Break-even point in dollars. Margin of safety in dollars. Number of units Ratchet Ltd has to sell to earn an after-tax profit of $420,000.

Ratchet Ltd expects to sell 30,000 units this year. The selling price is set at $25 per unit. The variable cost per unit is $12 and annual fixed cost is $345,000. Assume a tax rate of 28%. Required: Calculate the following: Break-even point in dollars. Margin of safety in dollars. Number of units Ratchet Ltd has to sell to earn an after-tax profit of $420,000.

Cornerstones of Cost Management (Cornerstones Series)

4th Edition

ISBN:9781305970663

Author:Don R. Hansen, Maryanne M. Mowen

Publisher:Don R. Hansen, Maryanne M. Mowen

Chapter16: Cost-volume-profit Analysis

Section: Chapter Questions

Problem 36P: Faldo Company produces a single product. The projected income statement for the coming year, based...

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Concept explainers

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.

Question

Ratchet Ltd expects to sell 30,000 units this year. The selling price is set at $25 per unit. The variable cost per unit is $12 and annual fixed cost is $345,000. Assume a tax rate of 28%.

Required:

Calculate the following:

Break-even point in dollars.
Margin of safety in dollars.
Number of units Ratchet Ltd has to sell to earn an after-tax profit of $420,000.

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