1 X Y Z Total
Sales Mix Ratio 3 6 1 10
Contribution margin per unit 1 1.5 3
Total 3 9 3 15
Total CM 15
divided by total sales mix 10
Composite UCM 1.50
FC 600,000
divided by Composite UCM 2
Break-even sales in units 400,000
Sales mix ratio 3/10 6/10 1/10
Break-even sales in units 120,000 240,000 40,000
Checking:
Break-even sales in units 120,000 240,000 40,000
Contribution margin per unit 1 1.50 3
Total CM = Fixed Cost 120,000 360,000 120,000 600,000
2 Sales (P5,000 x 110%) 5,500
Less: Variable Expenses (P1,750 x 110%) (1,925)
Less: Fixed expenses (P2,000 x 110%) (2,200)
Net income 1,375
3 Per unit Units Amount
Sales 15 500 7,500
Less: Variable expenses 9 500 4,500
Contribution margin 6 500 3,000 Decrease in FC
divided by Fixed expenses 12,000
Percentage decrese in Fixed expenses 25%
4 Product A Product B Product C Total
Revenues 100,000 200,000 200,000 500,000
Variable costs (40,000) (140,000) (80,000)
CM 60,000 60,000 120,000 240,000
CM ratio 60% 30% 60%
Sales mix ratio 1/5 2/5 2/5
Average CMR 12% 12% 24% 48%
Fixed costs 200,000
Divided by average CMR 48%
Break-even sales in pesos 416,667
Total revenues 500,000
Less: Break-even sales (416,667)
Margin of safety 83,333
5 X Y
Sales mix ratio 70% 30%
x CMR (1-VC as percentage of sales) 40% 20%
Average CMR 28% 6% 34%
Fixed costs (P340,000 x 10%) 374,000
Desired profit 34,000
Total 408,000
divided by Average CMR 34%
Desired pesos sales 1,200,000