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Using CVP Analysis Example
Suppose the management anticipates selling 3,200 pairs of pants. Management is considering an advertising campaign that would cost $10,000. It is anticipated that the advertising will increase sales to 4,000 units. Should the business advertise?
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Using CVP Analysis Example
3,200 pairs of pants sold with no advertising: Contribution margin $89,600 Fixed costs ,000 Operating income $ 5,600 4,000 pairs of pants sold with advertising: Contribution margin $112,000 Fixed costs ,000 Operating income $ 18,000
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Using CVP Analysis Example
Instead of advertising, management is considering reducing the selling price to $61 per pair of pants. It is anticipated that this will increase sales to 4,500 units. Should management decrease the selling price per pair of pants to $61?
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Using CVP Analysis Example
3,200 pairs of pants sold with no change in the selling price: Operating income = $5,600 4,500 pairs of pants sold at a reduced selling price: Contribution margin: (4,500 × $19) $85,500 Fixed costs ,000 Operating income $ 1,500
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Sensitivity Analysis and Uncertainty Example
Assume that the Pants Shop can sell 4,000 pairs of pants. Fixed costs are $84,000. Contribution margin ratio is 40%. At the present time the business cannot handle more than 3,500 pairs of pants.
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Sensitivity Analysis and Uncertainty Example
To satisfy a demand for 4,000 pairs, management must acquire additional space for $6,000. Should the additional space be acquired? Revenues at breakeven with existing space are $84,000 ÷ .40 = $210,000. Revenues at breakeven with additional space are $90,000 ÷ .40 = $225,000
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Sensitivity Analysis and Uncertainty Example
Operating income at $245,000 revenues with existing space = ($245,000 × .40) – $84,000 = $14,000. (3,500 pairs of pants × $28) – $84,000 = $14,000
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Sensitivity Analysis and Uncertainty Example
Operating income at $280,000 revenues with additional space = ($280,000 × .40) – $90,000 = $22,000. (4,000 pairs of pants × $28 contribution margin) – $90,000 = $22,000
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Apply CVP analysis to a company producing different products.
Learning Objective 6 Apply CVP analysis to a company producing different products.
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Effects of Sales Mix on Income
Pants Shop Example Management expects to sell 2 shirts at $20 each for every pair of pants it sells. This will not require any additional fixed costs.
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Effects of Sales Mix on Income
Contribution margin per shirt: $20 – $9 = $11 What is the contribution margin of the mix? $28 + (2 × $11) = $28 + $22 = $50
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Effects of Sales Mix on Income
$84,000 fixed costs ÷ $50 = 1,680 packages 1,680 × 2 = 3,360 shirts 1,680 × 1 = 1,680 pairs of pants Total units = 5,040
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Effects of Sales Mix on Income
What is the breakeven in dollars? 3,360 shirts × $20 = $ 67,200 1,680 pairs of pants × $70 = 117,600 $184,800
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Effects of Sales Mix on Income
What is the weighted-average budgeted contribution margin? Pants: 1 × $28 + Shirts: 2 × $11 = $50 ÷ 3 = $16.667
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Effects of Sales Mix on Income
The breakeven point for the two products is: $84,000 ÷ $ = 5,040 units 5,040 × 1/3 = 1,680 pairs of pants 5,040 × 2/3 = 3,360 shirts
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Effects of Sales Mix on Income
Sales mix can be stated in sales dollars: Pants Shirts Sales price $70 $40 Variable costs Contribution margin $28 $22 Contribution margin ratio 40% 55%
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Effects of Sales Mix on Income
Assume the sales mix in dollars is 63.6% pants and 36.4% shirts. Weighted contribution would be: 40% × 63.6% = 25.44% pants 55% × 36.4% = 20.02% shirts 45.46%
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Effects of Sales Mix on Income
Breakeven sales dollars is $84,000 ÷ 45.46% = $184,778 (rounding). $184,778 × 63.6% = $117,519 pants sales $184,778 × 36.4% = $ 67,259 shirt sales
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Adapt CVP analysis to situations in which a product has more
Learning Objective 7 Adapt CVP analysis to situations in which a product has more than one cost driver.
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Multiple Cost Drivers Example
Suppose that the business will incur an additional cost of $10 for preparing documents associated with the sale of pants to various customers. Assume that the business sells 3,500 pants to 100 different customers. What is the operating income from this sale?
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Multiple Cost Drivers Example
Revenues: 3,500 × $ $245,000 Variable costs: Pants: 3,500 × $ ,000 Documents: 100 × $ ,000 Total ,000 Contribution margin ,000 Fixed costs ,000 Operating income $ 13,000
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Multiple Cost Drivers Would the operating income of the Pants Shop
be lower or higher if the business sells pants to more customers? The cost structure depends on two cost drivers: 1. Number of units 2. Number of customers
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Learning Objective 8 Distinguish between contribution margin and gross margin.
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Contribution Margin versus Gross Margin
Contribution income statement emphasizes contribution margin. Financial accounting income statement emphasizes gross margin.
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End of Chapter 3
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