Contribution Margin = Sales – Variable cost
Standard |
Chrome |
|
Selling price |
800 |
1250 |
Variable cost |
600 |
550 |
Contribution Margin |
200 |
700 |
Weighted average contribution margin per unit = 200*1/4 + 700*3/4
= 575
1.Break Even point in units = Fixed costs/Weighted average contribution margin
= 598000/575
= 1,040 scooters
Standard Scooters = 1,040*1/4 = 260
Chrome Scooters = 1,040*3/4 = 780
Hence, 260 standard scooters and 780 chrome scooters must be sold each month to break even
2.Desired Income = $1,035,000
Fixed costs = $598000
Desired Contribution Margin = $1,633,000
Number of units = 1,633,000/575
= 2,840 scooters
Standard Scooters = 2,840*1/4 = 710 scooters
Chrome = 2,840*3/4 = 2,130 scooters
3.The break even point will increase since the contribution margin per unit of standard scooter is lower, the change in ratio will lead to a reduction in weighted average contribution margin per unit and hence, the break even point will increase
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