E7-32A: Find breakeven for a multiproduct firm (Learning Objective 4) Funtime Quadcopters plans to sell a standard quadcopter (toy drone) for $55 and a deluxe quadcopter for $85. Funtime purchases the standard quadcopter for $45 and the deluxe quadcopter for $65. Management expects to sell two deluxe quadcopters for every three standard quadcopters. The company's monthly fixed expenses are $11,900. How many of each type of quadcopter must Funtime sell monthly to break even? To earn $7,700?
Standard | Deluxe | Total | ||||
Selling price | 55 | 85 | ||||
Less: variable cost | 45 | 65 | ||||
Contribution margin | 10 | 20 | ||||
sales mix | 3 | 2 | ||||
Contribution per sales mix | 30 | 40 | 70 | |||
Weighted averagge CM per unit | 14 | |||||
Break even units= Fixed cost / Weighted Average Cm per unit | ||||||
11900 /14 = 850 | ||||||
Number of Std Quadcopter: (850*0.60): 510 units | ||||||
Number of Deluxe Quadcopterr (850*0.40) = 340 units | ||||||
Target profit = 7700 | ||||||
Target contribution = 7700+11900 = 19600 | ||||||
target sales units= Target contribution/ weighted average CM per unit | ||||||
19600/ 14 = 1400 units | ||||||
Number of Std Quadcopter (1400*0.60): 840 units | ||||||
Number of Deluxe Quadcopter (1400*0.40): 560 units | ||||||
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