1.
breakeven unit=total fixed cost/contribution per unit
fixed cost=80000
contribution per unit=selling price-DM-DL-var OH
contribution per unit=44-14-9-5=16
breakeven unit=80000/16=5000 units
breakeven sales=5000*44=220000
2.
margin of safety in units=budgeted sales unit - breakeven sales units
margin of safety in units=6250-5000=1250 units
margin of safety in sales= budgeted sales-breakeven sales
margin of safety in sales=(6250*44)-220000=275000-220000=55000
margin of safety in percentage=((budgeted sales-breakeven sales)/budgeted sales)*100
margin of safety in percentage=((275000-220000)/275000)*100=20%
3. operating leverage
$ | |
sales (44*6250) | 275000 |
DM (14*6250) | 87500 |
DL (9*6250) | 56250 |
var OH (5*6250) | 31250 |
contribution | 100000 |
fixed cost | 80000 |
operating leverage | 20000 |
contribution=275000-87500-56250-31250=100000
opearing leverage=100000-80000=20000
4. according to the changes the new DM=14+1.50=15.50 and new sales will be 6250*110%=6875
the new operating leverage will be
$ | |
sales (44*6875) | 302500 |
DM (15.50*6875) | 106562.5 |
DL (9*6875) | 61875 |
var OH (5*6875) | 34375 |
contribution | 99687.5 |
fixed cost | 80000 |
operating leverage | 19687.5 |
the new operating leverage is 19687.5,comparing to the old operating leverage the new amount is less and the company should avoid this changes
5. according to this changes the new fixed cost=80000+5000=85000 and new sales =6250*104%=6500
the new operating leverage is
$ | |
sales (44*6500) | 286000 |
DM (14*6500) | 91000 |
DL (9*6500) | 58500 |
var OH (5*6500) | 32500 |
contribution | 104000 |
fixed cost | 85000 |
operating leverage | 19000 |
on comparing this operating leverage with original data the profit amount is less this suggestion should also be rejected.
6. if the contrubution amount is increased by 1000 then the operating leverage becomes 20000 and it will be same for the original data that is assume contribution is 105000 (104000+1000) divide it with contribution per unit
105000/16=6562.5 units,
if the company produces 6562.5 then its operating leverage will be same for original data
6562.5/6250=1.05
that is a minimum 5% increase in sales of $6250 units needs to make a sense for adding a 5000 of advertisement cost.increase in 5% leads to profit more than 20000
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