2 Based upon the following data taken from the records of Bn
Solution
Contribution margin analysis report
Bruce inc.
for the for the year ended december 31.
Sales quantity factor
Decrease in number of units sold by 10000 - (10000*$2.5) (Note1)
Unit Price Factor
Increase in unit sales price by $0.1 -
(120000 units*$0.1) (Note 2)
Variable cost Quantity Factor
Decrease in number of units sold in actual data by 10000
(10000*$1.4)
Unit cost factor
Increase in unit Prices by 0.01
(120000*0.01) (Note 3)
Variable cost quantity factor
Decrease in number of units sold by 10000
(10000 units * $0.3)
Unit cost factor
Decrease in unit prices by $0.03
(120000 * 0.03) (Note 4)
Notes-
1) Unit sold as per actual data - $312000/$2.6 = 120000 units
Unit sold as per planned data - $325000/$2.5 = 130000 units
Difference = (130000 - 120000) = 10000 units
2) Increase in unit sales price - ($2.6 - $2.5) = $0.1
3) Increase in unit variable cost price - ($0.41 - $0.4) = $0.01
4) Decrease in unit variable selling price - ($0.3 - $0.27) = $0.03
| Particulars | Amount | |
| Planned contribution margin (A) | $104000 | |
| Effect of change in sales | ||
| Sales quantity factor Decrease in number of units sold by 10000 - (10000*$2.5) (Note1) | ($25000) | |
| Unit Price Factor Increase in unit sales price by $0.1 - (120000 units*$0.1) (Note 2) | $12000 | |
| Total effect of sales (B) | ($13000) | |
| Effect of change in variable cost of goods sold | ||
| Variable cost Quantity Factor Decrease in number of units sold in actual data by 10000 (10000*$1.4) | $14000 | |
| Unit cost factor Increase in unit Prices by 0.01 (120000*0.01) (Note 3) | ($1200) | |
| Total effect of changes in variable cost of goods sold (C) | $12800 | |
| Effect of changes in variable selling and administrative expenses | ||
| Variable cost quantity factor Decrease in number of units sold by 10000 (10000 units * $0.3) | $3000 | |
| Unit cost factor Decrease in unit prices by $0.03 (120000 * 0.03) (Note 4) | $3600 | |
| Total effect of changes in variable selling and administrative expenses (D) | $6600 | |
| Actual Contribution Margin (A + B + C + D) | $110400 | |

