Rally Quadcopters plans to sell a standard quadcopter (toy drone) for $45 and a deluxe quadcopter for $65. Rally purchases the standard quadcopter for $35 and the deluxe quadcopter for $45. Management expects to sell two deluxe quadcopters for every three standard quadcopters. The company's monthly fixed expenses are $14,700. How many of each type of quadcopter must Rally sell monthly to breakeven? To earn $10,500?
First identify the formula to compute the sales in units at various levels of operating income using the contribution margin approach.

Rally must sell 1,080 units of Standard and 720 units of Deluxe

Explanation:

                                                  Standard       Deluxe        Total

Sales price per unit                      $45                $65

Less: Variable cost                      ($35)              ($45)

Contribution Margin per  unit       $10                $20

Sales Mix units  (A)                        $3                  $2                $5

Contribution margin                      $30                $40             $70

Weighted average Contribution                                              $14    

per unit C= B/A

Appointment of fixed cost between standard and deluxe

Total Fixed cost = 14,700

Break even point = Fixed cost / Weighted average Contribution  per unit

= 14,700 / 14

= 1,050

Apportionment of Break even point sales between Standard and deluxe in sales mix ratio (3:2)

Standard = 1,050 * 3/5 = 630

Deluxe = 1,050 * 2/3 = 420

Unit to be sold to get desired profit = Fixed cost + Desired profit / Weighted average Contribution per unit

= (14,700 + 10,500) / 14

= 1,800

Apportionment of Units to be sold to get desired profit between Standard and Deluxe in sales mix ratio (3:2)

Standard = 1,800 * 3/5 = 1,080

Deluxe = 1,800 * 2/5 = 720

To reach target operating income, Rally must sell 1,080 units of Standard and 720 units of Deluxe

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