Answer 1:
Contribution per box = Average sales price - average variable cost per box = $4.00 - $2.40 = $1.60
Annual fixed expenses = $440,000
Break-even point in boxes = Fixed expenses / contribution per unit = 440000 / 1.60 = 275,000
Break-even point in boxes = 275,000 boxes
Answer 2:
New variable cost per box = $2.00 * (1 + 15%) +$0.40 = $2.70
Selling price required to maintain same average contribution margin per box = Average contribution per box + Increased variable cost per box = $1.60 + $2.70 = $4.30
Selling price required to maintain same average contribution margin per box = $4.30 per box
Answer 3:
Contribution margin per box = $4.00 - $2.70 = $1.30 per box
Volume in boxes required to earn $1084000 operating profit = (Fixed expense + Target profit) / Contribution per unit
= (440000 +184000) / 1.30
= 480,000 boxes
Volume in boxes required to earn $1084000 operating profit = 480,000 boxes
Answer 4:
Contribution per box of new product = $6.00 - ($3.00 + $1.00) = $2.00
Sales proportion in sales volume in boxes = 90% of couscous + 10% of Taco couscous
Composite contribution of sales mix = 90% * $1.30 + 10% * $2.00 = $1.37
Volume in boxes required to earn $1084000 operating profit
= (440000 +184000) / 1.37
= 455474.45 boxes
Reason for difference in boxes:
We observe, with inclusion of new product, number of boxes required now to earn same operating profit is lesser than number of boxes required (without new product).The reason is contribution per box of new product is higher. Which is resulting in reduction in required number of boxes to same operating profit.
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