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Complete the following problems using the following ratios: Sales level at which operating income is zero    If sales above breakeven, then profit    If sales below breakeven, then loss    Fixed expenses = total contribution margin Total sales = total expenses Break Even Point: Unit Sold = Fixed expenses + Operating Income / Contribution Margin per unit Break Even Point: Sales $ = Fixed expenses + Operating Income / Contribution Margin Ratio   (1) Calculate the break even number of units if the fixed expenses are $7,000 and the contribution margin is $14 per unit

Finance Mar 02, 2021

Complete the following problems using the following ratios:

  • Sales level at which operating income is zero  
  •  If sales above breakeven, then profit  
  •  If sales below breakeven, then loss  
  •  Fixed expenses = total contribution margin
  • Total sales = total expenses

Break Even Point: Unit Sold = Fixed expenses + Operating Income / Contribution Margin per unit

Break Even Point: Sales $ = Fixed expenses + Operating Income / Contribution Margin Ratio

 

(1) Calculate the break even number of units if the fixed expenses are $7,000 and the contribution margin is $14 per unit.

(2) Calculate the break even sales dollars if the fixed expenses are $7,000 and the contribution ratio is 40%.

(3) Calculate the break even number of units with a target profit of $120,000 if the fixed expenses are $15,000 and the contribution margin is $60 per unit.                  

Expert Solution

1) Computation of Breakeven in units:

Breakeven in units = (Fixed Cost + Operating Income) / Contribution per unit

Breakeven in units = (7000+0) / 14 = 500 units

 

2) Computation of Breakeven in dollars:

Breakeven in dollars = (Fixed Cost + Operating Income) / Contribution Margin

Breakeven in dollar = (7000+0) / 40% = 17500

 

3) Computation of Breakeven Point in Units:

Breakeven in units = (Fixed Cost + Operating Income) / Contribution per unit

Breakeven in units = (15000+120000) / 60 = 2250 units

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