Current Designs manufactures two different types of kayaks, rotomolded kayaks and composite | | | | | | |
kayaks. The following information is available for each product line. | | | | | | | | | |
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| | | | | | | | Rotomolded | | Composite | | | | |
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Sales price/unit $950 $2,000 | | | | | | $950 | | $2,000 | | | | |
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Variable costs/unit $570 $1,340 | | | | | | $570 | | $1,340 | | | | |
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The companys fi xed costs are $820,000. An analysis of the sales mix identifi es that rotomolded | | | | | | $820,000 |
kayaks make up 80% of the total units sold. | | | | | | | | | | | 80% |
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Instructions | | | | | | | | | | | | | |
(a) Determine the weighted-average unit contribution margin for Current Designs. | | | | | | | | | | |
(b) Determine the break-even point in units for Current Designs and identify how many units of | | | | | | | | |
each type of kayak will be sold at the break-even point. (Round to the nearest whole number.) | | | | | | | | |
(c) Assume that the sales mix changes, and rotomolded kayaks now make up 70% of total units | | | | | | | | |
sold. Calculate the total number of units that would need to be sold to earn a net income of | | | | | | | | |
$2,000,000 and identify how many units of each type of kayak will be sold at this level of income. | | | | | | | | |
(Round to the nearest whole number.) | | | | | | | | | | | | |
(d) Assume that Current Designs will have sales of $3,000,000 with two-thirds of the sales dollars in | | | | | | | | |
rotomolded kayaks and one-third of the sales dollars in composite kayaks. Assuming $660,000 | | | | | | | | |
of fi xed costs are allocated to the rotomolded kayaks and $160,000 to the composite kayaks, | | | | | | | | |
prepare a CVP income statement for each product line. | | | | | | | | | | | |
(e) Using the information in part (d), calculate the degree of operating leverage for each product | | | | | | | | |
line and interpret your fi ndings. (Round to two decimal places.) | | | | | | | | | | |
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A. | | | | | | | | | | | | | | |
| | | | | | Weighted Average | | | | | | | | |
| | Rotomolded Kayaks | + | Composite Kayaks | = | Unit Contribution Margin | | | | | | | |
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B | | Break-even Sales = | | | | | | | | | | | | |
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| | Break-even Sales Distribution: | | Rotomold | | | | | | | | | | |
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| | | | Composite | | | | | | | | | | |
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C | | Target Net Income in Units: | | | | | | | | | | | | |
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| | | | | | Weighted-Average | | | | | | | | |
| | Rotomolded Kayaks | + | Composite Kayaks | = | CM/Unit | | | | | | | | |
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| | Required Sales in Units = | | | | | | | | | | | | |
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| | Break-even Sales Distribution: | | | | | | | | | | | | |
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D | | CVP Income Statement | | | | | | | | | | | | |
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| | | Rotomolded | Composite | | | | | | | | | | |
| | Sales | | | | | | | | | | | | |
| | Variable Costs | | | | | | | | | | | | |
| | Contribution Margin | | | | | | | | | | | | |
| | Fixed Costs | | | | | | | | | | | | |
| | Net Income | | | | | | | | | | | | |
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E | | Degree of Operating Leverage | | | | | | | | | | | | |
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| | Rotomold | | | | | | | | | | | | |
| | Composite | | | | | | | | | | | | |