Answer:
Margin of safety in units 1040 - 890 = 150
Margin of safety in dollars 28,080 - 24,030 = 4050
Margin of safety as % of sales 4050 / 28,080 = 14.4231%
Explanation:
[tex]Sales \: Revenue - Variable \: Cost = Contribution \: Margin[/tex]
27 - 13 = 14
[tex]\frac{Fixed\:Cost}{Contribution \:Margin} = Break\: Even\: Point_{units}[/tex]
12460 / 14 = 890
[tex]BEP_{units} \times unit \: sales \: price = BEP_{dolars}[/tex]
890 * 27 = 24,030
[tex]units sold \times unit \: sales \: price = Sales Revenue[/tex]
1,040 * 27 = 28,080
[tex]units \:sold - BEP_{units[/tex]
Margin of safety in units 1040 - 890 = 150
[tex]current \:sales - BEP_{USD}[/tex]
Margin of safety in dollars 28,080 - 24,030 = 4050
[tex]\frac{current \:sales - BEP_{USD}}{current \:sales} \times 100 = margin \: of \: safety[/tex]
Margin of safety as % of sales 4050 / 28,080 = 14.4231%