Answer:
Margin of safety=55.6%
Explanation:
The formula for the operating income is as folows;
operating income=Sales revenue-total cost
where;
operating income=$ 15,000
Sales revenue=S
total cost=variable cost+fixed cost
variable cost=70% of S=(70/100)×S=0.7 S
fixed cost=$12,000
replacing;
15,000=S-(0.7 S+12,000)
15,000+12,000=0.3 S
27,000=0.3 S
S=27,000/0.3
S=Answer:
Explanation:
The formula for the operating income is as follows;
operating income=Sales revenue-total cost
where;
operating income=$ 15,000
Sales revenue=S
total cost=variable cost+fixed cost
variable cost=70% of S=(70/100)×S=0.7 S
fixed cost=$12,000
replacing;
15,000=S-(0.7 S+12,000)
15,000+12,000=0.3 S
27,000=0.3 S
S=27,000/0.3
S=$90,000
Current sales=$90,000
The formula for margin of safety is as follows;
Margin of safety=(Current sales level-break even point sales level)/current sales levels
At break even,
Operating income=0
0=S-(0.7 S+12,000)
0=S-0.7 S-12,000
0.3 S=12,000
S=12,000/0.3
S=40,000
Break even sales=$40,000
replacing;
Margin of safety=((90,000-40,000)/90,000}×100
Margin of safety=55.6%
