1.
For every bundle 3 i.e. 5x60% units are sold to new customers and 2
i.e. 5x40%units are sold to customers who bought upgrades
Break even point in bundles = Fixed Cost / Contribution margin
per bundle
= $12,000,000 / $750 = 16000 bundles
Contribution margin per bundle = 3 x $200 + 2 x $75 = $750
The breakeven point is
New Customers = 16000 x 3 = 48000 units
Upgrades = 16000 x 2 = 32000 units
2.
New Customers | Upgrades | Total | |
Units Sold | $ 120,000 | $ 80,000 | $ 200,000 |
Total Revenue | $ 35,400,000 | $ 8,400,000 | $ 43,800,000 |
Total Variable costs | $ 11,400,000 | $ 2,400,000 | $ 13,800,000 |
Contribution Margin | $ 24,000,000 | $ 6,000,000 | $ 30,000,000 |
Fixed Costs | $ 12,000,000 | ||
Operating Income | $ 18,000,000 |
3a. For every bundle 2 i.e. 5x40% units are sold to new customers and 3 i.e. 5x60%units are sold to customers who bought upgrades
Break even point in bundles = Fixed Cost / Contribution margin
per bundle
= $12,000,000 / $625 = 19200 bundles
Contribution margin per bundle = 2 x $200 + 3 x $75 = $625
The breakeven point is
New Customers = 19200 x 2 = 38400 units
Upgrades = 19200 x 3 = 57600 units
3b. For every bundle 9 i.e. 10x90% units are sold to new customers and 1 i.e. 10x10%units are sold to customers who bought upgrades
Break even point in bundles = Fixed Cost / Contribution margin
per bundle
= $12,000,000 / $1875 = 6400 bundles
Contribution margin per bundle = 9 x $200 + 1 x $75 = $1875
The breakeven point is
New Customers = 6400 x 9 = 57600 units
Upgrades = 6400 x 1 = 6400 units
c.
(9) higher
(10) decreases
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