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UNIT: 5.3 – Break-even Analysis pg. 642 Understand/practice break-even analysis & margin of safety IB Business Management
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Fixed or Variable? Direct or Indirect? Rent Wages Salaries Materials Insurance Commission Utilities
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Breaking Even Business can be in one of the following financial situations: Loss: costs exceeds revenue Break-Even: costs equal revenue Profit: revenue exceeds costs
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Breaking Even Break-even point exists where a business makes neither profit nor loss This occurs at the level of output where total costs equal total revenue Typically a goal of new firms
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Contribution What is the purpose of calculating contribution? Unit contribution = P - AVC Any product w/ a positive contribution will help pay some of the FC of the company Contribution analysis gives 3 ways profits can be improved: Increase sales revenue Reduce VC Reduce FC
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Meaning of Break-Even Point Total Costs = Total Revenue when output reaches the break-even point Any sales above the break-even quantity will generate a profit Sales below the break-even level will yield a loss
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Break-even Analysis A business can only survive in the long run if revenue > costs New firms especially want to determine the level of sales needed to generate a profit
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Break-Even Analysis Two purposes for conducting a break- even analysis, which helps determine: If its financially worthwhile to produce a particular good or service (such as introducing a new product) Amount of profit that business is likely to earn if things go according to plan
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Break-Even Analysis Example Jeans retailer has fixed costs of $2,500 per month Each pair of jeans sells for $30 $10 in variable costs per pair of jeans What is the break-even point?
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Calculating Break-Even Point Method 1 Identify where total costs equal total revenue on a break-even chart The break-even point is the position where the total cost line intersects the total revenue line (TC=TR)
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Calculating Break-Even Point Method 2 Using the TC = TR rule: TFC + TVC = Price x Quantity 2500 + 10(Q) = 30Q 2500 = 20Q 125 = Q (pairs of jeans)
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Calculating Break-Even Point Method 3 Unit contribution is difference between a product’s price and variable cost Contribution = Price – VC Break-Even Point = TFC / Unit Contribution $2500 $30-10 = 125 pairs
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Break-Even Example Use the unit contribution method to calculate the break-even quantity for a firm that has the following financials: TFC = $200,000 AVC = $5 Price = $30 P - AVC = unit contribution Break-even = fixed costs unit contribution
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Margin of Safety Measures difference between firm’s current sales quantity & break-even point Positive margin means that firm is making a profit Always shown in units, not dollars! Safety margin = level of demand – breakeven qty.
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Margin of Safety Example Demand for jeans is 200 pairs per month Break-even point is 125 pairs per month Safety margin is 75 units (200-125 = 75) This means the business can sell 75 fewer pairs of jeans before losing money.
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Constructing a Break-even Chart Rules to follow when constructing BE chart: Draw/label TFC line Draw/label TC line. Q = 0; TC start at ??? Draw/label TR line. Q = 0; TR starts at ??? X-axis is labeled as “Output” or units Y-axis is labeled as “Costs, Revenues, Profit” $$$
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