question archive ABC Company Projected Income Statement For the Current Year Ending December 31 Sales (4,000 units)   $400,000 Less variable costs:       Variable manufacturing costs $100,000     Variable selling costs   60,000       Total variable costs       160,000 Contribution margin   $240,000 Less fixed costs:       Fixed manufacturing costs $120,000     Fixed selling and administrative costs   60,000       Total fixed costs     180,000 Operating income   $ 60,000 Required: A

ABC Company Projected Income Statement For the Current Year Ending December 31 Sales (4,000 units)   $400,000 Less variable costs:       Variable manufacturing costs $100,000     Variable selling costs   60,000       Total variable costs       160,000 Contribution margin   $240,000 Less fixed costs:       Fixed manufacturing costs $120,000     Fixed selling and administrative costs   60,000       Total fixed costs     180,000 Operating income   $ 60,000 Required: A

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ABC Company

Projected Income Statement

For the Current Year Ending December 31

Sales (4,000 units)

 

$400,000

Less variable costs:

   
 

Variable manufacturing costs

$100,000

 
 

Variable selling costs

  60,000

 
   

Total variable costs

 

    160,000

Contribution margin

 

$240,000

Less fixed costs:

   
 

Fixed manufacturing costs

$120,000

 
 

Fixed selling and administrative costs

  60,000

 
   

Total fixed costs

 

  180,000

Operating income

 

$ 60,000

Required:

A.

Determine the break-even point in sales dollars.

B.

The sales manager believed the company could increase sales by 1,000 units if advertising expenditures were increased by $25,000. By how much will operating income increase or decrease if the advertising is increased as suggested?

   

2.

XYZ plans to sell 10,000 units of finished product at $100 each in the coming year. Variable cost per unit is $75 and total fixed cost is $20,000.

Required:

A.) Calculate the variable cost ratio.

B.) Calculate the contribution margin ratio.

C.) Calculate the break-even point in sales dollars.

D.) If XYZ has a target profit of $100,000, how many units will they have to sell?

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Answer:

A. Calculation of break-even point in sales dollars

Break-even point in sales dollars = Fixed Cost / Contribution Margin Ratio

=  $ 1,80,000 / 60 %

   = $ 3,00,000

Contribution margin ratio  = Contribution Margin / Total Sales *100

   = $ 2,40,000 / $ 4,00,000 * 100

= 60%

B.

Increase (Decrease) in net operating income = (Increase in sales * Contribution margin ratio) - Increase in advertising budget

=  ( $1,00,000 * 60% ) - $25,000

   = $ 35,000

If Advertising expenditure increased by $ 25000 then it will result in increase in net operating income by $ 35,000

Increase in sales = 1000 Units * $ 100 per Unit

= $ 1,00,000

2.

Income Statement

Sr.No   Total Per Unit
(i) Sales ( Units 10,000 ) $10,00,000 $        100
(ii) Variable Costs $   7,50,000 $          75
(iii) Contribution Margin (i) - (ii) $   2,50,000 $          25
(iv) Fixed Costs $      20,000  
(v) Net Income/(Loss) (iii)-(iv) $   2,30,000

2.A.  Calculation of variable cost ratio :

variable cost ratio = Variable Cost per unit / Selling price per unit *100

    = $ 75 / $ 100 * 100

    = 75 %

Therefore variable cost ratio is 75%

2.B. Calculation of contribution margin ratio :

Contribution margin ratio = Contribution Margin per unit / Selling price per unit *100

    = $ 25 / $ 100 * 100

= 25%

Therefore Contribution margin ratio is 25%.

Contribution margin per Unit = Total Contribution / Sales Units

  = $2,50,000 / 10,000

   = $ 25 per unit

2.C. Calculation of break-even point in sales dollars :

Break-even point in sales dollars = Fixed Cost / Contribution Margin Ratio

    = $ 20,000 / 25 %

    = $ 80,000

Therefore break-even point is $ 80,0000.

2.D. Calculation of Sales Units need to sell when Profit of $ 1,00,000 :

Fixed cost will remain same i.e $ 20,000

Therefore we can easily calculate Contribution Margin

Total Contribution Margin = Fixed Cost + Profit

   = $ 20,000 + $ 1,00,000

   = $ 1,20,000

Contribution margin $ 25 ( as per 2.B )

Sales (in Units ) = Total Contribution Margin / Contribution Margin Per unit

  = $ 1,20,000 / $ 25

  = 4,800 Units

Therefore Sales of 4,800 Units required in order to earn profit of $1,00,000