Cherry Blossom Products Inc. produces and sells yoga-training products: how-to DVDs and a basic equipment set (blocks, strap, and small pillows). Last year, Cherry Blossom Products sold 17,920 DVDs and 4,480 equipment sets. Information on the two products is as follows: DVDs Equipment Sets Price $7.90 $25.10 Variable cost per unit 3.90 14.80 Total fixed cost is $97,310.
1. What is the sales mix of DVDs and equipment sets? Select 4:1
2. Compute the break-even quantity of each product.
The break-even quantity for DVDs is? 27,412 .
The break-even quantity for equipment sets is? 6,853 .
Answer:
1)
Given :
Sales mix of DVD and equipment ses = 17,920 : 4480 = 4:1
Therefore the sales mix ratio is 4:1
2)
Compute combined CM margin :
Particulars | DVD | Equipment set |
Sale price | $ 7.90 | $ 25.10 |
Variable cost | $ 3.90 | $ 14.80 |
Contribution per unit | $7.90-$3.90= $ 4 | $ 25.10 - $ 14.80 =$10.3 |
Therefore , combined contribution margin = $ 4+$ 10.3 = $14.3
Given fixed cost = $ 97,310
Calculation break even quantity of DVD and equipment sets:
Break even quantity |
= Fixed cost / Combined contribution margin = $ 97,310 / 14.3 = 6,805 |
6,805 units |
Break even quantity of DVD |
= 6,805 * 4/5 = 5,444 |
5,444 units |
Break even quantity of equipment sets |
= 6,805*1/5 = 1,361 |
1,361 units |
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