A manufacturer of cedar shingles has supplied the following data: Bundles of cedar shakes produced and sold 360,000 Sales revenue $ 2,412,000 Variable manufacturing expense $ 1,170,000 Fixed manufacturing expense $ 714,000 Variable selling and administrative expense $ 414,000 Fixed selling and administrative expense $ 82,000 Net operating income $ 32,000 The company's break-even in unit sales is closest to:

Break-even point in units= 346,087

Explanation:

First, we need to calculate the unitary selling price and unitary variable cost:

Selling price= 2,412,000 / 360,000= $6.7

Unitary variable cost= (1,170,000 + 414,000) / 360,000= $4.4

To calculate the break-even point in units, we need to use the following formula:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= (714,000 + 82,000) / (6.7 - 4.4)

Break-even point in units= 346,087

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