The Budgeted Income Statement For Griffit
The Budgeted Income Statement Presented Below Is For Griffith Corporat
The budgeted income statement presented below is for Griffith Corporation for the coming fiscal year. If Griffith Corporation is able to achieve the budgeted level of sales, its margin of safety in dollars would be (Do not round intermediate calculations): Sales (65,000 units) $1,430,000 Costs: Direct materials $555,000 Direct labor 242,000 Fixed factory overhead 110,000 Variable factory overhead 152,000 Fixed marketing costs 112,000 Variable marketing costs 52,000 1,223,000 Pretax income $207,000
Paper For Above instruction
The given problem revolves around financial analysis for Griffith Corporation, specifically calculating the margin of safety in dollars once the company achieves its budgeted sales. This involves understanding the concepts of break-even sales, budgeted sales, and margin of safety, which are fundamental in managerial accounting and financial planning.
Margin of safety represents the extent to which sales can drop before the company reaches its break-even point, where total revenues equal total costs, resulting in neither profit nor loss. It is an important indicator of risk, illustrating how much sales can decline before the company becomes unprofitable. The margin of safety in dollars is calculated as the difference between the actual or projected sales and the break-even sales.
Given the data, the first step is to determine the company's contribution margin per unit, total contribution margin, and then the fixed costs to identify the break-even sales in dollars. Following this, the margin of safety in dollars can be computed by subtracting break-even sales from projected sales.
Step 1: Determine Total Fixed Costs
The fixed costs include fixed factory overhead and fixed marketing costs:
- Fixed factory overhead = $110,000
- Fixed marketing costs = $112,000
- Total fixed costs = $110,000 + $112,000 = $222,000
Step 2: Determine Total Variable Costs
The variable costs are variable factory overhead and variable marketing costs:
- Variable factory overhead = $152,000
- Variable marketing costs = $52,000
- Total variable costs = $152,000 + $52,000 = $204,000
Step 3: Calculate Contribution Margin
Total sales are $1,430,000 for 65,000 units, implying a sales price per unit:
Sales per unit = $1,430,000 / 65,000 = approximately $22 per unit.
Total variable costs are $204,000, so the total contribution margin is:
Contribution margin = Sales - Total variable costs = $1,430,000 - $204,000 = $1,226,000
Contribution margin per unit = $22 - (Variable costs per unit). To find variable costs per unit:
Variable costs per unit = $204,000 / 65,000 ≈ $3.14
Therefore, contribution margin per unit = $22 - $3.14 ≈ $18.86
Alternatively, total contribution margin of $1,226,000 confirms this calculation.
Step 4: Determine Break-Even Sales
Break-even sales in dollars are calculated by dividing total fixed costs by the contribution margin ratio:
Contribution margin ratio = Contribution margin / Sales = $1,226,000 / $1,430,000 ≈ 0.857
Break-even sales in dollars = Total fixed costs / contribution margin ratio = $222,000 / 0.857 ≈ $259,498
Step 5: Calculate Margin of Safety
Projected sales are $1,430,000. Break-even sales are approximately $259,498. Therefore, the margin of safety in dollars is:
Margin of safety = Projected sales - Break-even sales = $1,430,000 - $259,498 ≈ $1,170,502
Thus, if Griffith Corporation achieves its budgeted sales, its margin of safety in dollars would be approximately $1,170,502, indicating a comfortable buffer before incurring losses.
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