Question

Multiple-Product Break-even, Break-Even Sales Revenue 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 13,500 DVDs and 4,500 equipment sets. Information on the two products is as follows: DVDs Equipment Sets Price $8 $25 Variable cost per unit 4 15 Total fixed cost is $86,100. Suppose that in the coming year, the company plans to produce an extra-thick yoga mat for sale to health clubs. The company estimates that 9,000 mats can be sold at a price of $21 and a variable cost per unit of $12. Total fixed cost must be increased by $28,700 (making total fixed cost $114,800). Assume that anticipated sales of the other products, as well as their prices and variable costs, remain the same.1. What is the sales mix of DVDs, equipment sets, and yoga mats?3:1:22. Compute the break-even quantity of each product.a.Break-even DVDs unitsb.Break-even equipment sets unitsc.Break-even yoga mats unitsd.Feedback1. See text section "Determining the Sales Mix."2. See Cornerstone 4.7.Learning Objective 1 and Learning Objective 5.3b. What is the overall contribution margin ratio? Use the contribution margin ratio to compute overall break-even sales revenue. (Note: Round the contribution margin ratio to the nearest whole percent; round the break-even sales revenue to the nearest dollar.)Overall contribution margin ratio %Overall break-even sales revenue $ 4. Compute the margin of safety for the coming year in sales dollars.$

Answer 1

Answer:

Answer 1.

DVD Equipment Set Yoga Mat

Sale in Units 13500 4500 9000

Sale Mix 3 1 2

Sales Mix Ratio = 3:1:2

Answer 2.

Let the Break Even Sales = X Units

Therefore, Linear equation of BEP:

3/6 X (8-4) + 1/6 X (25-15) + 2/6 X (16-9) = 119520 (Fixed Costs)

X = 19920 Units

BEP of

DVD = 19,920 Units X 3/6 = 9960 Units

Equipment Set = 19,920 Units X 1/6 = 3320 Units

Yoga Mat = 19920 Units X 2/6 = 6640 Units

Answer 3.

DVD Equipment Set Yoga Mat Total

Sale in Units 13,500 4,500 9,000 27,000

SP 8 25 16

Sales in $ 108,000 112,500 144,000 364,500

Less: Variable Costs 54,000 67,500 81,000 202,500

Contribution 54,000 45,000 63,000 162,000

Contribution Margin Ratio 50.00% 40.00% 43.75% 44.44%

Contribution Margin Ratio = Contribution / Sales

Overall Break Even Sales Revenue = $119520 (Fixed Costs) / 44.44% (Contribution Margin Ratio)

Overall Break Even Sales Revenue = $268,920

Answer 4.

Margin of Safety = Sales - BES

Margin of Safety = $364,500 - 268920 = $95,580

Explanation: