Answer:
Current:
BEPunits 16,625
BEPdollars 997,500
margin of safety 202,500
promotional campaing Scenario:
BEPunits 21,600
BEPdollars 1,231,200
margin of safety 136,800
Explanation:
current fixed cost 399,000
additional fixed cost 54,600
total 453,600
[tex]Sales \: Revenue - Variable \: Cost = Contribution \: Margin[/tex]
sales price to 57 from 60
variable cost 36
contribution margin 60-36 = 24
scenario contribtuion margin = 57-36 = 21
BEP
[tex]\frac{Fixed\:Cost}{Contribution \:Margin } = Break\: Even\: Point_{units}[/tex]
current break even point
399,000/24 = 16,625
scenario BEP
453,600 / 21 = 21,600
Difference:
21,600 - 16,625 = 4,975
[tex]\frac{sales - BEP_{dollars}}{current \:sales} = margin \: of \: safety[/tex]
margin of safety:
current sales revenue 60 x20,000 = 1,200,000
bep sales revenue 60 x 16,625 = (997,500)
current margin of safety 202,500
scenario sales revenue 57 x 24,000 = 1,368,000
scenario bep 57 x 21,600 = (1,231,200)
scenario margin of safety 136,800
Difference
136,800 - 202,500 = -65,700
After the promotional campaing, the BEP increase and the margin of safety decrease. The management concers are true, this campain has some impact in the company stability.