The Metropolitan Company sells its latest product at a unit...

The Metropolitan Company sells its latest product at a unit price of $\$ 5$. Variable costs are estimated to be $30 \%$ of the total revenue, while fixed costs amount to $\$ 7,000$ per month. How many units should the company sell per month in order to break even, assuming that it can sell up to 5,000 units per month at the planned price?

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Key Concepts

Contribution Margin

The contribution margin is the difference between the selling price per unit and the variable cost per unit. It represents the amount that each unit sold contributes toward covering fixed costs and then generating profit once the break-even point is surpassed.

Break-even Analysis

Break-even analysis is used to determine the point at which a company’s total revenues equal its total costs, meaning that it is neither making a profit nor incurring a loss. It is a crucial tool for decision-making, helping businesses understand the minimum sales volume required to cover all fixed and variable costs.

Fixed Costs

Fixed costs are expenses that do not change with the level of production or sales, such as rent or salaries. They must be paid regardless of the business outcome and play a central role in calculating the break-even point, as they need to be covered by the contribution margin from each unit sold.

Variable Costs

Variable costs are expenses that vary directly with the level of production or sales. This means the more units produced or sold, the higher the total variable costs. They are essential to calculate because they affect the contribution margin per unit, which is used to determine the break-even point.

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