Differential Analysis for a Discontinued Product
A condensed income statement by product line for Crown Beverage Inc. indicated the following for King Cola for the past year:
Sales | $232,700 |
Cost of goods sold | 108,000 |
Gross profit | $124,700 |
Operating expenses | 142,000 |
Loss from operations | $(17,300) |
It is estimated that 12% of the cost of goods sold represents fixed factory overhead costs and that 22% of the operating expenses are fixed. Since King Cola is only one of many products, the fixed costs will not be materially affected if the product is discontinued.
a. Prepare a differential analysis, dated March 3, to determine whether King Cola should be continued (Alternative 1) or discontinued (Alternative 2). If an amount is zero, enter zero "0". Use a minus sign to indicate a loss.
Differential Analysis | |||
Continue King Cola (Alt. 1) or Discontinue King Cola (Alt. 2) | |||
January 21 | |||
Continue King Cola (Alternative 1) |
Discontinue King Cola (Alternative 2) |
Differential Effect on Income (Alternative 2) |
|
Revenues | $ | $ | $ |
Costs: | |||
Variable cost of goods sold | |||
Variable operating expenses | |||
Fixed costs | |||
Income (Loss) | $ | $ | $ |
b. Should Star Cola be retained?
Explain.
As indicated by the differential analysis in part (A), the income would by $ if the product is discontinued.
Differential Analysis | ||||
Continue King Cola (Alt. 1) or Discontinue King Cola (Alt. 2) | ||||
January 21 | ||||
Continue King | Discontinue King | Differential Effect | ||
Cola (Alternative 1) | Cola (Alternative 2) | on Income | ||
(Alternative 2) | ||||
Revenues | 232700 | 0 | -232700 | |
Costs: | ||||
Variable cost of goods sold | -95040 | 0 | 95040 | |
Variable operating expenses | -110760 | 0 | 110760 | |
Fixed costs | -44200 | -44200 | 0 | |
Income (Loss) | -17300 | -44200 | -26900 | |
Star Cola should be retained. | ||||
As indicated by the differential analysis in part (A), the income would decrease by $26900 if the product is discontinued | ||||
Workings: | ||||
Variable cost of goods sold | =108000*(1-12%) = 95040 | |||
Variable operating expenses | =142000*(1-22%) = 110760 | |||
Fixed costs | =(108000*12%)+(142000*22%)=44200 | |||
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