Question

Current operating income for Bay Area Cycles Co. is $74,000. Selling price per unit is $120, the contribution margin ratio is 30%, and fixed expense is $250,000. Required: 1. Calculate Bay Area Cycle’s breakeven point in units and total sales dollars. (Round your Unit answer to nearest whole units and other answer to the nearest whole dollar.) 2. Calculate Bay Area Cycle’s margin of safety and margin of safety ratio. (Do not round your intermediate answers and Round your percentage answer to the 1 decimal place and other answer to nearest whole dollar)

Answer 1

Answer:

1. 6,944 units and $833,333.33

2.  $1,080,000 and  22.83%

Explanation:

The computations are shown below:

1. Break-even point in units

= (Fixed expenses ) ÷ (Contribution margin per unit)  

where,  

Contribution margin per unit = Selling price per unit × contribution margin ratio

= $250,000 ÷ $36

= 6,944 units

Break-even point in sales

= (Fixed expenses ) ÷ (Contribution margin ratio)  

= $250,000 ÷ 30%

= $833,333.33

2. For margin of safety and margin of safety ratio:

Margin of safety = Expected sales - break even sales

where,

Expected sales = (Operating income + fixed expense) ÷ (contribution margin ratio)

= ($74,000 + $250,000)

= ($324,000) ÷ (30%)

= $1,080,000

So, the margin of safety would be

= $1,080,000 - $833,333.33

= $246,667

Margin of safety ratio = Margin of safety ÷ total sales

                                      = $246,667 ÷ $1,080,000

                                      = 22.83%