2 Change all of the numbers in the data area of your workshe
Solution
(2)(a) Break Even (in $) = Fixed cost/contribution margin
Contribution margin = (SP – VC)/SP
= (30 – 15)/30 = 50%
= 240000/50% = $480000
(b) Margin of Safety % :-
= (Actual units sold – Break Even units)/Actual units sold
Breakeven units = 480000/30 = 16000 units
= (20000 – 16000)/20000 = 20%
(c) Degree of Operating Leverage:-
DOL = Contribution/Operating Income
Contribution = (30 – 15) * 20000 units = $300000
Operating Income = 300000 – 240000 = $60000
DOL = 300000/60000 = 5
(3) Units sale increase = 20%
%age increase in operatin income = 20% * DOL
= 20% * 5 = 100%
(4) (a) Net Operating Income (Loss) :-
(SP – VC) * Units sold – FC = Operating Income
(30 – 15) * 24000 – 240000 = $120000
(b) %age increase in Net operating Income =
[(Revised Operating Income – Existing operating Income)/Existing Operating Income]*100
= (120000 – 60000)/60000]*100 = 100%
(5) (a) Break Even Units = Fixed cost/Contribution pu
= [1353750/(19000 – 14250)] = 285 units
(b) Margin of Safety Dollars =(Actual units sold – Break Even units) * SP
= (300 – 285) * 19000 = $285000
(c) Degree of Operating Leverage =
DOL = Contribution/Operating Income
Contribution = (19000 – 14250) * 300 = 1425000
Operating Income = 1425000 – 1353750 = 71250
= 1425000/71250 = 20
(d) Net Operating Income(Loss) :-
(SP – VC) * Units sold – FC = Operating Income
(15400 – 14250) * 300 – 1042750 = (697750)

