| Option A | Option B | Formulas | |||
| 1 | a. | Fixed Costs | $1,200,000 | $4,500,000 | |
| b. | Contribution margin per unit | $15 | $40 | ||
| c. | Breakeven point (a)/(b) | 80,000 | 112,500 | (Fixed cost/contribution per unit) | |
| Units | Units | ||||
| 2 | a. | Operating income under option A required | $30,000 | ||
| b. | Fixed Costs | $1,200,000 | |||
| c. | Contribution per Unit | $15 | |||
| d. | Required shipment units(a+b)/(c ) | 82,000 | (Target profit+fixed Cost)/Contribution per unit | ||
| 3 | Let X unit of shipment is required to produce margin of 9% on sales | ||||
| Total Sale Value | 100 X | ||||
| Variable Cost | 85 X | ||||
| Total Contribution | 15 X | ||||
| Fixed Cost | $1,200,000 | ||||
| Operating Income | (15 X - 1,200,000) | ||||
| and also, Operating income = 100 X * 9% = 9 X | |||||
| hence, | |||||
| 9 X = 15 X - 1,200,000 | |||||
| X = 1,200,000/6 | |||||
| X = 200,000 | |||||
| hence, 200,000 units of shipment required of Option A to produce 9% of sales revenue | |||||
| 4 | Net income required | $180,000 | |||
| Tax rate | 40% | ||||
| Operating Income | $300,000 | 180,000/(1-.4) | |||
| Add: fixed Cost | $4,500,000 | ||||
| Total contribution required | $4,800,000 | ||||
| Contribution per unit | $40 | ||||
| Units required to be sold | 120,000 | (4800,000/40) | |||
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