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Break-Even Analysis
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What is Break Even Analysis & BEP?
A technique that analyzes the relationship between total revenue and total cost to determine profitability at various levels of output. The break-even point (BEP) is the quantity at which total revenue and total costs are equal. Profit comes from any units sold beyond the BEP.
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Formula MUST Account for All Expenses
The simple break-even formula discussed previously assumes total costs are equal to variable costs. In reality businesses have fixed and variable costs.
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Costs Total costs: Fixed costs: Variable costs:
Total expenses incurred by a firm in producing and marketing a product. Fixed costs: The firm’s expenses that are stable and do not change with the quantity of product produced. Variable costs: The sum of the expenses of a firm that vary directly with the quantity of products produced and sold.
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How to Calculate BEP BEPQuantity = Fixed Cost
Unit price – Unit Variable cost
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Frame Shop BEP? BEPQuantity = $28,000 $ = 400 pictures
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Calculate Profit for the following Number of Picture Frames Sold:
Quantity Sold Selling Price Total Revenue Unit Cost Total Variable Cost (TVC) Fixed Cost (FC) Total Cost (TC) Profit (TR-TC) O $100 $30 $28,000 -28,000 200 20,000 6,000 $34,000 -14,000 400 40,000 12,000 $40,000 600 60,000 18,000 $46,000 14,000 800 80,000 24,000 $52,000 28,000 1,000 100,000 30,000 $58,000 42,000 1,200 120,000 36,000 $64,000 56,000
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Frame Shop BEP? Selling price of $75: BEPQuantity = $28,000 $75-30 Selling price of $75 = pictures Selling price of $125: $ = pictures
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Relationship Between Selling Price and BEP
The higher the selling price the lower the BEP
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Frame Shop BEP? Unit cost of $25: BEPQuantity = $28,000 $ Selling price of $75 = pictures Unit cost of $35: $ = pictures
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Relationship Between Unit Cost and BEP
The higher the unit cost the higher the BEP
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