Contribution margin ratio= (Sales - variable exp)×100/Sales
30= (Sales- 520,800)×100/ Sales
30 × sales= 100 Sales- 520,800 ×100
70 sales= 520,800× 100
Sales = 520,800×100/70= 744,000
Contribution margin statement
| Total | per unit | |
| Sales ( 6,200 units) | 744,000 | 120 |
| Variable | 520,800 | 84 |
| Profit | 223,200 | 36 |
| Fixed cost | 43,200 | |
| Net income | 180,000 |
If varibale cost per unit decrease by 3%
Then new variable cost = 84 × 97% = 81.48
Cm ratio = 40%
40 = (sales - 81.48)×100/sales
100 sales - 40 sales = 81.48×100
Sales = 81.48× 100/60
= 135.80
Contribution margin = sales - variable
= 135.8- 81.48 =54.32per unit
Fixed cost = 43,200+ 8,000= 51,200
Desired sales in units= fixed cost + net income/ CM per unit
= 51,200 + 180,000/54.32
=4,256 units
A. Answer is correct.
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