a company's current sales are $400,000 at a volume of 10,000 units. Fixed costs are $120,000 and variable costs are $30 per unit. What is the company's breakeven sales volume in units?

To find the breakeven sales volume in units, we need to determine the point at which the company's total revenue equals its total costs (fixed costs + variable costs).

Let's start by calculating the variable costs:

Variable costs per unit = $30
Variable costs for 10,000 units = $30 * 10,000 = $300,000

Next, we can calculate the total costs:

Total costs = Fixed costs + Variable costs
Total costs = $120,000 + $300,000 = $420,000

Since we want to find the breakeven sales volume, we can set the company's total revenue equal to the total costs and solve for the volume:

Total revenue = Total costs
$400,000 = Total costs

Now we can substitute the value of total costs:

$400,000 = $420,000

To find the breakeven sales volume in units, we need to divide the total costs by the variable cost per unit:

Breakeven sales volume = Total costs / Variable cost per unit
Breakeven sales volume = $420,000 / $30 = 14,000 units

Therefore, the company's breakeven sales volume in units is 14,000 units.

To determine the breakeven sales volume in units, we need to find the point at which the company's total costs equal its total sales revenue.

The total costs can be calculated by adding the fixed costs and the variable costs. In this case, the fixed costs are $120,000 and the variable costs are $30 per unit. Since the variable cost is given on a per-unit basis, we can multiply it by the number of units to find the total variable costs.

Total variable costs = Variable cost per unit × Number of units
Total variable costs = $30 per unit × 10,000 units
Total variable costs = $300,000

Now, let's calculate the breakeven sales volume in units:

Breakeven sales volume = (Fixed costs + Total variable costs) / Selling price per unit

Here, the selling price per unit is the total sales divided by the number of units:

Selling price per unit = Total sales / Number of units
Selling price per unit = $400,000 / 10,000 units
Selling price per unit = $40

Breakeven sales volume = ($120,000 + $300,000) / $40
Breakeven sales volume = $420,000 / $40
Breakeven sales volume = 10,500 units

Therefore, the company's breakeven sales volume in units is 10,500 units.