Jet boats | ski boats | |
Sales price | 8,000 | 20,000 |
(-)variable cost | (5,000) | (15,000) |
Contribution | 3,000 | 5,000 |
Weighted contribution =
($3,000 × 5 jet boats) + ($5,000 × 2 ski boats) = $25,000
Weights = 5 jet boats + 2 ski boats = 7 boats
Weighted-average contribution margin per unit =
$25,000 / 7 boats = $3,571 per boat
Required sales in units =
(Fixed costs + Target profit) / Contribution margin per unit
Required sales in units = ($290,000 + 0) / $3,571 per boat
= 82 boats
82 boats in the ratio of 5:2 are 59 jet boats and 24 ski boats.
therefore answer is option(d)
59 jet boats and 24 ski boats
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