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Product X sells for $20 each, and it has a variable cost of $5 per unit. The company sells 10,000 units per year and has afixed cost of $120,000. What is the break-even point in units for Product X?
The break-even point is the level of sales or output where the total revenue equals the total cost, and the profit is zero. The break-even point can be calculated in units or in dollars. To calculate the break-even point in units, the following formula can be used:
Break-even point in units = Fixed cost / (Selling price per unit - Variable cost per unit)
In this case, the fixed cost is $120,000, the selling price per unit is $20, and the variable cost per unit is $5. Plugging these values into the formula, we get:
Break-even point in units = 120,000 / (20 - 5) = 120,000 / 15 = 8,000
Therefore, the break-even point in units for Product X is 8,000. This means that the company needs to sell 8,000 units of Product X to cover its fixed and variable costs and make no profit or loss.
References: CPIM Exam Content Manual Version 7.0, Domain 8: Manage Quality, Continuous Improvement, and Technology, Section 8.1: Develop Quality and Continuous Improvement Plans, Subsection 8.1.2: Describe how to develop a business case for quality and continuous improvement initiatives (page 74).