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Davies shows the following information for the next year for its single product,

ID: 2553056 • Letter: D

Question

Davies shows the following information for the next year for its single product, ceramic pots.

Selling price: $15 per unit

Variable cost: $12 per unit

Fixed cost = $42,000

Requirement 1: Compute the break-even point in units and sale dollars. Show your computations (6 points)

Requirement 2: What amount of sales revenue would Davies need to realize next year in order to generate a net income of $60,000 after tax (assume a tax rate of 20%). Show your computations (10 points)

Requirement 3: Using the sales revenue computed in #2, compute the margin of safety in sales dollars. (4 points)

Explanation / Answer

1) Contribution Margin per unit = Selling price per unit - Variable cost per unit

= $15 per unit - $12 per unit = $3 per unit

Break Even point in units = Fixed Cost/Contribution Margin per unit

= $42,000/$3 per unit = 14,000 units

Break Even Sales dollars = 14,000 units*$15 per unit = $210,000

2) Required Net income before tax = Net Income after tax/(1 - tax rate)

= $60,000/(1-20%) = $60,000/80% = $75,000

Required Contribution = Fixed Costs+Required Net Income before tax

= $42,000+$75,000 = $117,000

Required sales in units = Required Contribution/Contribution Margin per unit

= $117,000/$3 per unit = 39,000 units

Sales Revenue required = 39,000 units*$15 per unit = $585,000

3) Margin of Safety in sales dollars = Sales Revenue - Break Even Sales Revenue

= $585,000 - $210,000 = $375,000

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