Cassius Corporation has provided the following contribution format income statement. Assume that the following information is within the relevant range. Sales (7,000 units) $ 210,000 Variable expenses 136,500 Contribution margin 73,500 Fixed expenses 67,200 Net operating income $ 6,300 The number of units that must be sold to achieve a target profit of $31,500 is closest to.

9,400 units

Explanation:

The breakeven point is the number of units that must be sold for the company to make neither a loss nor a profit. A target profit is the net of the sales less the sum of the fixed and variable expenses. The contribution margin  is the difference between the sales and variable cost.

Sales per unit = $210,000/7000 = $30

Variable cost per unit = $136,500/7000 = $19.50

Let the number of units to be sold to achieve the profit target be x

30x - 19.5x - 67200 = 31500

10.5x = 98700

x = 98700/10.5

x = 9,400 units

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