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 $65,000.
Standard | Multiform | Complex | |||
---|---|---|---|---|---|
Billing rate | $65 | $140 | $265 | ||
Average variable costs | (30) | (75) | (150) | ||
Average contribution margin | $35 | $65 | $115 | ||
Number of returns prepared | 1,750 | 500 | 250 |
Required
(a.) Determine Joe's break-even dollar sales volume.
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: | ||
Product | Number of returns prepared | Allocated Percentage |
Standard | 1,750 |
70% (1,750 / 2,500 ) |
Multiform | 500 |
20% (500 / 2,500 ) |
Complex | 250 |
10% (250 / 2,500 ) |
Total | 2,500 | 100% |
(a) | ||
Product |
Weighted Selling Price |
Weighted Contribution Margin |
Standard |
$ 45.50 ($ 65 x 70% ) |
$ 24.50 ($ 35 x 70% ) |
Multiform |
$ 28 ($ 140 x 20% ) |
$ 13 ($ 65 x 20% ) |
Complex |
$ 26.5 ($ 265 x 10% ) |
$ 11.50 ($ 115 x 10% ) |
Total | $ 100 | $ 49 |
Contribution margin ratio: |
Contribution margin / Selling
price = $ 49 / 100 |
49% |
Break-even sale volume |
Fixed costs/Contribution margin
ratio = $ 65,000 / 49% |
$ 132,653 |
(b) | ||
Margin of Safety = | Actual sales (-) Break-even sales | |
( $ 65 x 1,750 ) + ($ 140 x 500) + ( $
265 x 250 )(-) $ 132,653 = $ 113,750 + $ 70,000 + $ 66,250 (-) $ 132,653 = $ 250,000 (-) $ 132,653 |
$ 117,347 |