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Megarock want to start producing drum kits

Accounting

Megarock want to start producing drum kits. The estimated sales projections are as follows

                                   Guitars                        Drumkits

Estimated Sales           6500 guitars                3250 drumkits

Sales Price                   $650                           $1,500

Variable Costs              $210                           $750

Total Fixed Costs                                                                      $3,400,000

 

a)    What is the Weighted Average Contribution Margin? (Round to the nearest cent)

 

a)    What would be the breakeven units (In total and per product)

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a) Computation of weighted average contribution margin per unit:
Particulars Guitars Drumkits Total
Selling price per unit $650.00  $1,500.00    
Variable cost per unit $210.00  $750.00   
Contribution margin per unit $440.00  $750.00   
Sales mix 2.00 1.00 3.00
Weighted Average Contribution Margin per Unit $880.00  $750.00  $1,630.00  
a) Computation of weighted average contribution margin per unit:
Particulars Guitars Drumkits Total
Selling price per unit 650 1500  
Variable cost per unit 210 750  
Contribution margin per unit =650-210 =1500-750  
Sales mix =6500/3250 =3250/3250 =2+1
Weighted Average Contribution Margin per Unit =440*2 =750*1 =880+750

 

b) Computation of Breakeven Point in Units in Total:

Breakeven Point in Units in Total = Fixed Cost/Weighted Average Contribution Margin per Unit 

= $3,400,000/$1,630

= 2,085.89 or 2,086 units

 

Computation of Breakeven Point in Units per Product:

Guitars = 2,086*2/3 = 1,390.59 or 1,391 units 

Drumkits = 2,086*1/3 = 695.30 or 695 units