Answer 1)
Calculation of number of units of each product to be sold to break-even
Total number of units of both product to be sold at break-even = Total monthly fixed expenses/ Weighted average contribution margin per unit
= $ 16,150/ $ 17 per unit
= 950 units
Number of units of Standard scooter to be sold at break-even = Total number of units to be sold at break-even X sales mix of Standard scooter
= 950 units X 60%
= 570 units
Number of units of Chrome scooter to be sold at break-even = Total number of units to be sold at break-even X sales mix of Chrome scooter
= 950 units X 40%
= 380 units
Therefore 570 units of Standard Scooter and 380 units of Chrome Scooter will be sold at break-even.
Answer 2)
Calculation of number of units of each product to be sold if the company wishes to earn monthly income of $ 11,900
Total number of units of both product to be sold at break-even = (Total monthly fixed expenses + Expected monthly Income)/ Weighted average contribution margin per unit
= ($ 16,150 + $ 11,900)/ $ 17 per unit
= 1,650 units
Number of units of Standard scooter to be sold to earn monthly income of $ 11,900 = Total number of units to be sold at break-even X sales mix of Standard scooter
= 1,650 units X 60%
= 990 units
Number of units of Chrome scooter to be sold to earn monthly income of $ 11,900 = Total number of units to be sold at break-even X sales mix of Chrome scooter
= 1,650 units X 40%
= 660 units
Therefore 990 units of Standard Scooter and 660 units of Chrome Scooter will be sold to earn monthly income of $ 11,900.
Working Notes:
Calculation of Sales mix of Standard Scooter = 3 Scooters/ (3 Scooters + 2 Scooters)
= 60%
Calculation of Sales mix of Chrome Scooter = 2 Scooters/ (3 Scooters + 2 Scooters)
= 40%
Calculation of weighted average contribution margin per unit:
Standard |
Chrome |
Total |
|
Selling price per unit |
$ 70.00 |
$ 85.00 |
|
Less: Variable expenses per unit |
$ 55.00 |
$ 65.00 |
|
Contribution margin per unit (A) |
$ 15.00 |
$ 20.00 |
|
Sales mix (B) |
0.60 |
0.40 |
|
Weighted average contribution margin per unit |
$ 9.00 |
$ 8.00 |
$ 17.00 |
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