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The following information applies to the questions displayed below) Serendipity Sound, Inc., manufactures and sells compact discs. Price and cost data are as follows: Selling price per unit (package of two CDs) 25.00Variable costs per unit: Direct material 10.50 Direct labor 5.00Manufacturing overhead 3.00 Selling expenses 1.30Total variable costs per unit 19.80 Annual fixed costs: Manufacturing overhead 192000 Selling and administrative 276000Total fixed costs 468000Forecasted annual sales volume (120,000 units) 3000000 In the following requirements. Ignore income taxes.
1. If the company's direct-labor costs do increase by 8 percent, what selling price per unit of product must it charge to maintain the same contribution-margin ratio?2. What is Serendipity sounds break even point in units?3. How many units would be Serendipity sound have to sell in order to earn 260000?

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Answer:

  1. $25.50
  2. 90,000 units
  3. 140,000 units

Explanation:

1. Current contribution margin ratio

= (Selling price - Variable cost)/ Selling price

= (25 - 19.8) / 25

= 0.208

New Direct labor = 5.0 * ( 1 + 8%)

= $5.40

New variable cost = 19.8 + 0.4 = $20.20

To maintain 0.208

0.208 = (Selling price - 20.20) / Selling price

0.208 * Price = Price - 20.20

0.208Price - Price = -20.20

-0.792Price = -20.20

Price = -20.20/-0.792

Price = $25.50

2. Breakeven = Fixed Cost / Contribution Margin

Contribution Margin = Selling price - Variable cost

= 25 - 19.8

= $5.20

= 468,000/5.2

= 90,000 units

3. To earn $260,000;

= (Fixed Cost + 260,000) / Contribution margin

= (468,000 + 260,000) /5.2

= 140,000 units

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