The Bakery's Break-Even Decision
Tom runs a small bakery that produces artisan bread. His monthly fixed costs are $8,000 (rent, salaries, insurance). Each loaf sells for $6. Variable costs per loaf are $2.50 (ingredients, packaging). Currently, he sells 2,500 loaves per month. Tom is considering investing in a new oven that would reduce variable costs to $2.00 per loaf but would increase fixed costs by $1,500 per month. He expects that with the new oven, he could increase sales to 3,000 loaves per month due to higher quality. However, he would need to take out a loan to buy the oven, with monthly repayments of $500 (interest and principal). Tom wants to know if the new oven is financially viable.
1. Calculate Tom's current break-even point in units and his current monthly profit. Then calculate the break-even point and expected monthly profit with the new oven, including the loan repayment as a fixed cost. Based on these calculations, advise Tom on whether he should invest in the new oven.
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Current situation: Selling price = $6, variable cost = $2.50, contribution margin = $3.50 per loaf. Fixed costs = $8,000. Break-even point = $8,000 / $3.50 ≈ 2,286 loaves. Current sales = 2,500 loaves. Current profit = (2,500 * $3.50) - $8,000 = $8,750 - $8,000 = $750 per month.
With new oven: Variable cost = $2.00, contribution margin = $4.00 per loaf. Fixed costs increase by $1,500 to $9,500, plus loan repayment $500, so total fixed costs = $10,000. Break-even point = $10,000 / $4.00 = 2,500 loaves. Expected sales = 3,000 loaves. Expected profit = (3,000 * $4.00) - $10,000 = $12,000 - $10,000 = $2,000 per month. This is an increase of $1,250 per month over current profit. Therefore, the new oven is financially viable, as it increases profit and the break-even point is achievable with expected sales. However, Tom should consider the risk: if sales do not reach 3,000, profit may be lower. The margin of safety with new oven = (3,000 - 2,500) = 500 loaves, or 16.7% of sales, which is reasonable but not large. He should also consider non-financial factors like quality and capacity.
2. Discuss the non-financial factors Tom should consider before making the decision, and explain how sensitivity analysis could help him assess the risk of the investment.
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Non-financial factors include: the reliability of the new oven, the learning curve for staff, potential disruption during installation, the impact on product quality and customer satisfaction, and the ability to handle increased production. Tom should also consider whether the sales increase to 3,000 loaves is realistic, based on market research or past trends. Sensitivity analysis involves testing how changes in key assumptions affect the outcome. For example, Tom could calculate profit if sales only increase to 2,700 loaves instead of 3,000. At 2,700 loaves, profit = (2,700 * $4) - $10,000 = $10,800 - $10,000 = $800, which is only $50 more than current profit. If sales fall below 2,500, he would make a loss. Sensitivity analysis helps identify the break-even sales level and the margin of safety, allowing Tom to understand the risk. He could also test variations in variable cost savings or loan repayments. This analysis supports a more informed decision by highlighting the range of possible outcomes.