Question

Information concerning a product produced by Ender Company appears here: Sales price per unit $ 164 Variable cost per unit $ 94 Total annual fixed manufacturing and operating costs $ 434,000 Required Determine the following: Contribution margin per unit. Number of units that Ender must sell to break even. Sales level in units that Ender must reach to earn a profit of $182,000. Determine the margin of safety in units, sales dollars, and as a percentage.

Answer 1

Answer:

Results are below.

Explanation:

To calculate the unitary contribution margin, we need to use the following formula:

Contribution margin= selling price - unitary variable cost

Contribution margin= 164 - 94

Contribution margin= $70

Now, to determine the break-even point in units and sales dollars, we need to use the following formulas:

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

Break-even point in units= 434,000 / 70

Break-even point in units= 6,200

Break-even point (dollars)= fixed costs/ contribution margin ratio

Break-even point (dollars)= 434,000 / (70 / 164)

Break-even point (dollars)= $1,016,800

The desired profit is $182,000:

Break-even point in units= (fixed costs + desired profit) / contribution margin per unit

Break-even point in units= (434,000 + 182,000) / 70

Break-even point in units= 8,800

Finally, the margin of safety in units, sales dollars, and as a percentage:

Margin of safety (units)= (current sales level - break-even point)

Margin of safety (units)= 8,800 - 6,200

Margin of safety (units)= 2,600

Margin of safety (dollars)= (8,800*164) - 1,016,800

Margin of safety (dollars)= $426,400

Margin of safety ratio= (current sales level - break-even point)/current sales level

Margin of safety ratio= 426,400 / 1,443,200

Margin of safety ratio= 0.295