In: Accounting
Barnam Company currently produces and sells 12,000 units of a product that has a contribution margin of $8 per unit. The company sells the product for a sales price of $20 per unit. Fixed costs are $37,800. The company has recently invested in new technology and expects the variable cost per unit to fall to $12 per unit. The investment is expected to increase fixed costs by $20,000. After the new investment is made, how many units must be sold to break-even? (Do not round intermediate calculations.)
| CALCULATION OF CONTRIBUTION MARGIN PER UNIT | |||
| PARTICULARS | AMOUNT | ||
| Selling Price Per Unit= | $ 20 | ||
| Less: Variable Cost Per Unit | $ 12 | ||
| Contribution Margin Per Unit | $ 8 | ||
| Contribution Margin % | 40% | ||
| ($ 8 / $ 20 X 100) | |||
| CALCULATION OF THE BREAK EVEN POINT IN UNITS | |||
| Revise Fixed Cost = $ 37,800 + $ 20,000 = | $ 57,800 | ||
| Break Even point = Fixed Cost / Contribution Margin Per Unit | |||
| Break Even point = | |||
| Fixed Cost = | $ 57,800 | ||
| Divide By | "/" By | ||
| Contribution Margin Per Unit = | $ 8 | ||
| Break Even point = | 7225 | Units | |
| Answer = 7,225 Units | |||