Has a monthly target operating income of $ 15 comma 000. variable expenses are 70% of sales, and monthly fixed expenses are $ 12 comma 000. read the requirement 1. compute the monthly margin of safety in dollars if the shop achieves its income goal. begin by identifying the formula to compute the margin of safety. ▼ - = margin of safety in dollars

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=

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%