Currently
Volume = 1000
Sales = $20600
Unit price = $20.6
Variable expense = $12200
Unit variable cost = $12.2
Fixed expense = $6468
Net operating income = 20600 – 12200 – 6468 = 1932
1
New variable cost = 12.2 + 1.2 = $13.4
New volume = 1250
New fixed cost = 6468+1700 = $8168
Net operating income = 1250*20.6 – 1250*13.4 – 8168 = $832
(Assuming that the following questions 2, 3, 4, 5 are based on the data from question 1 and not the current state)
2
Break-even point = Fixed cost / (Unit price – Variable cost)
BEP = 8168/(20.6-13.4) = 1134.4 or 1135 units
3
Break-even point in dollar sales = Fixed cost / Contribution margin ratio
Contribution margin ratio = Contribution margin/ Sales = (20.6-13.4)/20.6 = 0.349
BEP in dollar sales = 8168/0.349 = $23369.5
4
Margin of safety = (Sales level – BEP)/Sales level
MoS = (1250-1135)/1250 = 0.092 or 9.2%
5
MoS in dollars = 1250*20.6 – 23369.5 = 2380.5
We have assumed that the number 2, 3, 4 and 5 are based on the information modified in question 1. In case that is not, then use the original values and you will get the answer.
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