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Break-Even Units, Contribution Margin Ratio, Multiple-Product Breakeven, Margin of Safety, Degree of Operating Leverage
Jellico Inc.'s projected operating income (based on sales of 450,000 units) for the coming year is as follows:
Total | |
Sales | $ 9,000,000 |
Total variable cost | 5,310,000 |
Contribution margin | $ 3,690,000 |
Total fixed cost | 2,476,400 |
Operating income | $ 1,213,600 |
Required:
1(a). Compute variable cost per unit. Enter
your answer to the nearest cent.
$per unit
1(b). Compute contribution margin per unit.
Enter your answer to the nearest cent.
$per unit
1(c). Compute contribution margin ratio.
%
1(d). Compute break-even point in units.
units
1(e). Compute break-even point in sales
dollars.
$
2. How many units must be sold to earn
operating income of $319,800?
units
3. Compute the additional operating income that Jellico would earn if sales were $50,000 more than expected.
Answer:-1)a:- Variable cost per unit= Total variable costs/Total units
=$5310000/450000 units =$11.80 per unit
1)b:- Contribution margin per unit= Contribution margin/Total units
=$3690000/450000 units =$8.20 per unit
1)c:- Contribution margin Ratio= (Contribution margin/Total Sales)*100
=($3690000/$9000000)*100 =41%
1)d:-BEP in units =Fixed costs/ Contribution margin per unit
=$2476400/$8.20 per unit =302000 units
1)e:- Break-even point in sales dollars= Fixed costs/ Contribution margin ratio
=$2476400/41% =$6040000
2) Units must be sold to earn operating income of $319,800=
=($2476400+$319800)/$8.20 per unit =341000 units
3)-The additional operating income =Additional sales* Contribution margin Ratio
=$50000*41% =$20500
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