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Odion Manufacturer’s Ltd is evaluating a project that costs $280000, has a seven-year life, and no salvage value. Assume that depreciation is prime cost to zero salvage over the 7 years. Odion requires a return of 10 per cent on such projects. The tax rate is 30 per cent. Sales are projected at 60000 units per year. Price per unit is $23.80, variable cost per unit is $10.52 and fixed costs are $100000 per year.

Calculate the accounting break-even point. What is the degree of operating leverage at the accounting breakeven point?

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Final answer:

The accounting break-even point for the project is approximately 7532 units. The degree of operating leverage at the accounting break-even point is 1.33.

Step-by-step explanation:

For the accounting break-even point, we need to calculate the total costs and find the sales volume at which the total cost equals the total revenue. The fixed costs per year are $100,000. Variable costs per unit can be calculated as the difference between the price per unit ($23.80) and variable cost per unit ($10.52), which is $13.28. The accounting break-even point can be calculated by dividing the fixed costs by the contribution margin per unit.

The contribution margin per unit is $13.28, so the accounting break-even point can be calculated as follows:

Accounting break-even point = Fixed Costs / Contribution Margin per Unit = $100,000 / $13.28 = 7531.33

Therefore, the accounting break-even point is approximately 7532 units.

Now, let's calculate the degree of operating leverage at the accounting break-even point. The degree of operating leverage measures the change in operating profit resulting from a change in sales volume. It can be calculated by dividing the contribution margin by the operating profit.

Operating profit = Sales Revenue - Total Variable Costs - Total Fixed Costs = ($23.80 * 7,532) - [($10.52 * 7,532) + $100,000] = $178, 845.20 - $103, 792.64 = $75,052.56

Contribution margin = Sales Revenue - Total Variable Costs = ($23.80 * 7,532) - ($10.52 * 7,532) = $178, 845.20 - $79,285.44 = $99,559.76

Therefore, the degree of operating leverage at the accounting break-even point is:

Degree of operating leverage = Contribution Margin / Operating Profit = $99,559.76 / $75,052.56 = 1.33

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