question archive Multiple Product Break-Even Analysis Joe's Tax Service prepares tax returns for low-to middle-income taxpayers

Multiple Product Break-Even Analysis Joe's Tax Service prepares tax returns for low-to middle-income taxpayers

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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 $55,000.

      Standard Multiform Complex
Billing rate     $55 $130 $255
Average variable costs     (30) (75) (150)
Average contribution margin     $25 $55 $105
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 dollar.

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Solution:      
(a) Product Weighted Selling Price Weighted Contribution Margin
  Standard (55*1750)/2500
38.5
(25*1750)/2500
17.5
  Mutliform (130*500)/2500
26
(55*500)/2500
11
  Complex (255*250)/2500
25.5
(105*250)/2500
10.50
  Total (38.5+36+25.5)
90
(17.5+11+10.50)
39
  Contriution Margin Ratio (Total Weighted Contribution/ Total Weighted Selling Price) 39/90
0.433
  Break Even Sales Volume Total Fixed Cost/ Contribution Margin 55000/0.43333333
126923
       
(b) Determine the margin of safety in dollar:  
  Total Sales    
  Standard (55*1750) 96250
  Mutliform (130*500) 65000
  Complex (255*250) 63750
      225000
  Less: Break Even Sales   126923
  Margin of Safety   98077