(a) If only X is manufacture, BEP = Fixed cost/Contribution pu of X
Contribution pu of X = $120 - $84 = $36
= $180000/$36 = 5000 units
(b) If only Y is manufacture, Margin of Safety = Sale – BEP ($)
BEP in units = $180000/$20 = 9000 units
BEP ($) = 9000 * $80 = $720000
Current sale = $80 * 10000 = $800000
Margin of safety= $800000 - $720000 = $80000
Margin of safety in % = $80000/$800000 * 100 = 10%
(c)
|
X |
Y |
Z |
|
|
Selling price |
$120 |
$80 |
$156 |
|
Variable cost |
$84 |
$60 |
$112 |
|
Contribution per unit (A) |
$36 |
$20 |
$44 |
|
Staff hours (B) |
4 |
2 |
6 |
|
Contribution per hours (A/B) |
$9 |
$10 |
$7.33 |
|
Preference |
2nd |
1st |
3rd |
(d)
|
Preference |
Product |
Demand |
Units Produced (A) |
Staff hrs required pu (B) |
DL Hours Allocated (A * B) |
Balance Hours |
|
1st |
Y |
5000 |
5000 |
2 |
10000 |
(20000 – 10000) =10000 |
|
2nd |
X |
3000 |
2500 |
4 |
10000 |
(10000 – 10000) =0 |
Profit = (Units sold for X * Contribution) + (Units sold for Y * Contribution) – Fixed cost
= (2500 * $36) + (5000 * $20) - $180000 = $10000
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