Solve each problem. A computer store has fixed costs of S8,...

Solve each problem. A computer store has fixed costs of S8, 925 per month and a unit cost of $\$ 850$ for every computer it sells. If the store can sell all the computers it can get for $\$ 1,275$ each, how many must be sold for the store to break even? (Hint: The breakeven point occurs when costs equal income.)

Solve each problem.
A computer store has fixed costs of S8, 925 per month and a unit cost of $\$ 850$ for every computer it sells. If the store can sell all the computers it can get for $\$ 1,275$ each, how many must be sold for the store to break even? (Hint: The breakeven point occurs when costs equal income.)

Key Concepts

Algebraic Equation Setup

This concept involves formulating an equation where the total cost (the sum of fixed and variable costs) is set equal to the total revenue. Solving this equation provides the break-even quantity, which is critical for planning and decision-making.

Revenue

Revenue is the income generated from selling goods or services, calculated by multiplying the unit sale price by the number of units sold. It represents the financial inflow in the break-even analysis.

Break-even Analysis

Break-even analysis involves finding the point at which total revenue equals total costs, including both fixed and variable costs, resulting in neither profit nor loss. This calculation is essential for determining how many units need to be sold to cover all incurred costs.

Fixed Costs

Fixed costs are expenses that do not change with the level of production or sales, meaning they must be paid regardless of how many units are produced or sold. In a break-even analysis, these are the baseline expenses that must be covered by revenue.

Variable Costs

Variable costs fluctuate directly with the quantity of goods produced or sold, as they depend on the number of units. In break-even calculations, these costs are multiplied by the number of units to determine the total variable cost.

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