Sams Ltd is specialized in producing and selling washing machines. In 2018, the manufacturing cost per unit included:
£ Direct material 125
Direct labor (20 minutes per unit) 45/hour Variable manufacturing overhead 20 Variable selling expenses 15 Variable administrative expenses 10
Fixed costs for the year ended 31 December 2018 were: £000
Fixed manufacturing 1,100 Fixed selling and distribution 1,450 Fixed administrative 675
The company produced and sold 220,000 units at £225 per unit.
In 2019, management has decided to increase the selling price by 25% and to maintain the same contribution margin ratio as last year. This increase in price is to meet an increase of £1,450,000 in fixed costs in 2019. The company has produced and sold the same quantity in 2019 as last year.
Required
(a) Calculate the break-even point and margin of safety in both units and revenue for the two years, 2018 and 2019, and briefly comment upon the results.
BEP
2018
BEP in units = F.C/contribution unit
Contribution unit= 225- 90 = 135
3225/135 =23.889 units
3225/135*225 = sh 5375
2019
Contribution unit = 281.25-90= 191.25
FC=3225 +1450=4675000
=4675000/199.25 = 24,444units
=4675/191.25*281.25 = sh 6875000
MOS
2019
=actual sales – sales at BEP
(220000*225) - 5375= 49494625
(220000*281.25) – 6875000 =
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