A firm has the capacity to produce 931,498 units of a product each year. At present, it is operating at 48 percent of capacity. The firm's annual revenue is $689,916. Annual fixed costs are $505,799 and the variable costs are $.45 cents per unit. The following equations will be useful. Profit = Revenue - Costs Revenue = Price each * quantity Costs = Fixed Cost + Variable Costs Variable Cost = Variable Cost per unit * number of units At the break even point, Profit = 0 At what volume of sales does the firm break even?
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.
A firm has the capacity to produce 931,498 units of a product each year. At present, it is operating at 48 percent of capacity. The firm's annual revenue is $689,916. Annual fixed costs are $505,799 and the variable costs are $.45 cents per unit. The following equations will be useful.
| Profit = Revenue - Costs |
| Revenue = Price each * quantity |
| Costs = Fixed Cost + Variable Costs |
| Variable Cost = Variable Cost per unit * number of units |
| At the break even point, Profit = 0 |
At what volume of sales does the firm break even?
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