This Past Year Castle Rook Industries Sold 2000 Of Its Designer Chrom
This past year Castle Rook Industries sold 2,000 of its designer-chrome chess sets. The company reported total sales of $400,000 and variable product costs of $180,000. The company also reported variable selling expenses of $40,000 and fixed expenses of $125,000. Based on this information, several financial metrics and scenarios need to be analyzed to evaluate the company's cost structure, profitability, and break-even points.
Paper For Above instruction
Castle Rook Industries' financial data provides insightful information for conducting various cost-volume-profit (CVP) analyses. With total sales revenue of $400,000 from 2,000 units sold, the company’s pricing per unit can be determined, along with its variable expense ratios, contribution margins, and break-even points. Understanding these metrics is crucial for management to make informed decisions regarding pricing strategies, cost control, and sales targets.
**1.
Variable Expense Ratio**
The variable expenses include the cost of goods sold (product costs) and variable selling expenses. The total variable expenses are $180,000 + $40,000 = $220,000. The variable expense ratio is calculated as:
Variable Expense Ratio = Total Variable Expenses / Total Sales Revenue
= $220,000 / $400,000 = 0.55 or 55%
This means that 55% of each dollar in sales goes toward variable costs.
**2. Break-even Point in Unit Sales**
The contribution margin per unit is essential to determine the break-even point in units. First, the unit sales price is:
Sales Price per Unit = Total Sales / Units Sold = $400,000 / 2,000 = $200
The total variable costs per unit are:
Variable Cost per Unit = Total Variable Costs / Units Sold = $220,000 / 2,000 = $110
Contribution margin per unit is:
Contribution Margin per Unit = Sales Price per Unit - Variable Cost per Unit = $200 - $110 = $90
The break-even point (units) is computed as:
Break-even Units = Fixed Expenses / Contribution Margin per Unit = $125,000 / $90 ≈ 1,389 units (rounded)
**3. Contribution Margin Ratio**
The contribution margin ratio is the proportion of each sales dollar contributing to covering fixed expenses and profit:
Contribution Margin Ratio = Contribution Margin per Unit / Sales Price per Unit = $90 / $200 = 0.45 or 45%
**4. Break-even Point in Dollars**
Alternatively, the break-even sales in dollars is obtained by:
Break-even Sales Dollars = Fixed Expenses / Contribution Margin Ratio = $125,000 / 0.45 ≈ $277,778
**5. Total Contribution Margin**
The total contribution margin for the year is:
Contribution Margin = Total Sales - Total Variable Expenses = $400,000 - $220,000 = $180,000
**6. Units to Achieve a Target Profit of $75,000**
To determine the required sales volume in units for a desired profit, the formula is:
Required Units = (Fixed Expenses + Target Profit) / Contribution Margin per Unit = ($125,000 + $75,000) / $90 = $200,000 / $90 ≈ 2,222 units
**7. Effect of Increased Variable Costs and Decreased Fixed Expenses on Contribution Margin**
If variable costs increase, the contribution margin per unit decreases, leading to a decrease in the contribution margin ratio. Conversely, a reduction in fixed expenses does not directly affect the contribution margin but improves overall profitability. Therefore, the contribution margin per unit and contribution margin ratio will decrease if variable costs increase, assuming sales price remains constant.
**8. Increase in Net Operating Profit for 2,001 Units Sold**
Additional unit sales beyond 2,000 units contribute additional contribution margin. The incremental profit
from one extra unit is the contribution margin per unit ($90). Therefore, selling one more unit increases profit by $90.
Additional profit = 1 × $90 = $90
**9. Net Profit if Sales Drop to 1,500 Units**
At 1,500 units, the total contribution margin is:
Total Contribution Margin = Contribution Margin per Unit × Units Sold = $90 × 1,500 = $135,000
Net profit is computed as:
Net Profit = Total Contribution Margin - Fixed Expenses = $135,000 - $125,000 = $10,000
**10. Impact of Increased Variable Costs, Advertising, and Sales Volume on Net Profit**
Suppose variable costs per unit increase by $10, making the new variable cost per unit $120. Additionally, advertising expenses increase by $30,000, which is a fixed cost increase. Sales volume also increases by 300 units, reaching 2,300 units.
New variable costs:
New Variable Cost per Unit = $110 + $10 = $120
New contribution margin per unit:
= $200 - $120 = $80
The total contribution margin becomes: = $80 × 2,300 = $184,000
The total fixed expenses now are:
Original fixed expenses: $125,000
Plus additional advertising: $30,000
Total fixed expenses = $155,000
The net profit then is:
Net Profit = Total Contribution Margin - Total Fixed Expenses = $184,000 - $155,000 = $29,000
In summary, the company's profitability and cost structure are sensitive to changes in variable costs, fixed expenses, and sales volume. Managing these variables effectively enables Castle Rook Industries to optimize profit margins and achieve financial sustainability.
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