CVP with Activity-Based Costing and Multiple Products
Busy-Bee Baking Company produces a variety of breads. The plant manager would like to expand production into sweet rolls as well. The average price of a loaf of bread is $1. Anticipated price for a package of sweet rolls is $1.50. Costs for the new level of production are as follows:
Cost Driver |
Unit Variable Cost |
Level of Cost Driver |
| Loaf of bread | $0.65 | — |
| Package of sweet rolls | $0.93 | — |
| Setups | $300 | 250 |
| Maintenance hours | $15 | 3,500 |
| Other data: | ||
| Total fixed costs (traditional) | $185,000 | |
| Total fixed costs (ABC) | 57,500 |
Busy-Bee believes it can sell 600,000 loaves of bread and 200,000 packages of sweet rolls in the coming year.
Required:
1. Prepare a contribution-margin-based income statement for next year. Be sure to show sales and variable costs by product and in total.
| Busy-Bee Baking Company | |||
| Contribution-Margin-Based Income Statement | |||
| Bread | Sweet Rolls | Total | |
| Sales | $ | $ | $ |
| Less: Variable cost | |||
| Contribution margin | $ | $ | $ |
| Less: Fixed costs | |||
| Operating income | $ | ||
Feedback
Remember a Contribution margin income statement calculates contribution-margin not gross profit.
2. Compute the break-even sales for the company
as a whole using conventional analysis. Round your answer to the
nearest dollar.
$
3. Compute the break-even sales for the company
as a whole using activity-based analysis. Round your answer to the
nearest dollar.
$
4. Compute the break-even units of each product in units. In your computations, round amounts to the nearest cent. Round your final answers to the nearest whole number of units.
| Break-even loaves of bread | |
| Break-even packages of sweet rolls |
Does it matter whether you use conventional analysis or
activity-based analysis?
Yes
5. Suppose that Busy-Bee could reduce the setup cost by $100 per setup and could reduce the number of maintenance hours needed to 1,000. How many units of each product must be sold to break even in this case? Round your answer up to the next higher whole unit (for example, 50.3 units rounds to 51). In your computations, round amounts to three decimal places.
| Break-even loaves of bread | |
| Break-even packages of sweet rolls |
| Part-1 | |||
| Contributon Margin Based Income Statement | |||
| Bread | Sweet Rolls | Total | |
| Unit Sold | 6,00,000 | 2,00,000 | |
| Sales @$1, $1.50 | 6,00,000 | 3,00,000 | 9,00,000 |
| Less: Variable Cost @$0.65, $0.93 | 3,90,000 | 1,86,000 | 5,76,000 |
| Contribution Margin | 2,10,000 | 1,14,000 | 3,24,000 |
| Less: Fixed Cost | 1,85,000 | ||
| Net Income | 1,39,000 | ||
| Part-2 |
| BEP Sales = Fixed Cost/ Contribution Margin Ratio |
| =185000/36%= $513889 |
| CM Ratio= (324000/900000)=36% |
| Part-3 |
| BEP Sales As per ABC |
| (( Fixed Cost + ( Setup Cost * No. of Setup)+( Maint. Cost X No. of Hour))/ CM Ratio |
| ((57500+($300X 250)+($15X 3500))/ 36%= $513889 |
| Part-4 |
| Sales Mix Ratio of Bread ( 600000/9000000)=66.67% |
| Sales Mix Ratio of Sweet Roll ( 300000/9000000)=33.33% |
| BEP ( Unit ) |
| Bread = Total BEP Sales X Sales Mix Ratio |
| $513889X 66.67%=$342610 |
| Unit sells Price : $1 |
| No. of BEP Unit= $342610/$1= 342610 unit |
| BEP ( Unit ) |
| Bread = Total BEP Sales X Sales Mix Ratio |
| $513889X 33.33%=$171296 |
| Unit sells Price : $1.50 |
| No. of BEP Unit= $171296/$1.50= 114197 unit |
| Part-5 |
| BEP Sales As per ABC |
| (( Fixed Cost + ( Setup Cost * No. of Setup)+( Maint. Cost X No. of Hour))/ CM Ratio |
| ((57500+($200X 250)+($15X 1000))/ 36%= $3,40,278 |
| BEP ( Unit ) |
| Bread = Total BEP Sales X Sales Mix Ratio |
| $340278X 66.67%=$226863 |
| Unit sells Price : $1 |
| No. of BEP Unit= $226863/$1= 226863 unit |
| BEP ( Unit ) |
| Bread = Total BEP Sales X Sales Mix Ratio |
| $340278X 33.33%=$113426 |
| Unit sells Price : $1.50 |
| No. of BEP Unit= $113426/$1.50= 75617 unit |
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