In: Accounting
Multiple Product Break-Even Analysis
Joe's Tax Service prepares tax returns for low-to middle-income
taxpayers. Its service operates January 2 through April 15 at a
counter in a local grocery store. All jobs are classified into one
of three categories: standard, multiform, and complex. Following is
information for last year. Also, last year, the fixed cost of rent,
utilities, and so forth were $60,000.
Standard | Multiform | Complex | |||
---|---|---|---|---|---|
Billing rate | $60 | $135 | $260 | ||
Average variable costs | (30) | (75) | (150) | ||
Average contribution margin | $30 | $60 | $110 | ||
Number of returns prepared | 1,750 | 500 | 250 |
Required
(a.) Determine Joe's break-even dollar sales volume.
Round contribution margin to three decimal places.
Round break-even sales volume to the nearest dollar.
Product |
Weighted Selling Price |
Weighted Contribution Margin |
---|---|---|
Standard | $Answer | $Answer |
Multiform | Answer | Answer |
Complex | Answer | Answer |
Total | $ Answer | $ Answer |
Contribution margin ratio: | Answer | |
Break-even sales volume: | $Answer |
(b.) Determine Joe's margin of safety in sales dollars.
Round answer to the nearest whole number.
$Answer
Answer (a)
Note : Computation of % of sales based on number of return
Number of returns prepared | % | |
---|---|---|
Standard | 1,750 | 1,750 / 2,500 = 70 % |
Multiform | 500 | 500 / 2,500 = 20 % |
Complex | 250 | 250/ 2,500 = 10 % |
Total | 2,500 |
Product |
Weighted Selling Price |
Weighted Contribution Margin |
---|---|---|
Standard | ($60 * 70 %) =$42 | ($30 * 70 %) =$21 |
Multiform | ($135 * 20 %) =$27 | ($60 * 20 %) =$12 |
Complex | ($260 * 10 %) =$26 | ($110 * 10 %) =$11 |
Total | $95 | $44 |
Working | ||
---|---|---|
Contribution margin ratio | Weighted Contribution Margin / Weighted Selling Price = ($44 / $95) *100 | 46.316% |
Break-even dollar sales volume | Fixed Costs / Contribution margin ratio = $60,000 / 46.316% | $129,545 |
Answer (b)
Note :
Actual Sales = ($60 * 1,750) + ($135 * 500 ) + ($260 * 250) = $105,000 + $67,500 +$65,000 = $237,500
Margin of safety in sales dollars = Actual sales - Break-even dollar sales
= $237,500 - $129,545 = $107,955