Friday 26 September 2014

Alden Company has decided to use a contribution format income statement for internal planning purposes. The company has analyzed its expenses and has developed the following cost formulas:

Alden Company has decided to use a contribution format income statement for internal planning purposes. The company has analyzed its expenses and has developed the following cost formulas:

  Cost Cost Formula
  Cost of goods sold    $27 per unit sold
  Advertising expense    $184,000 per quarter
  Sales commissions    7% of sales
  Administrative salaries    $94,000 per quarter
  Shipping expense      ?
  Depreciation expense    $64,000 per quarter


     Management has concluded that shipping expense is a mixed cost, containing both variable and fixed cost elements. Units sold and the related shipping expense over the last eight quarters are given below:

  Quarter Units Sold Shipping
Expense
  Year 1:    
      First 30,000 $174,000      
      Second 32,000 $189,000      
      Third 37,000 $231,000      
      Fourth 33,000 $194,000      
  Year 2:    
      First 31,000 $184,000      
      Second 34,000 $199,000      
      Third 44,400 $246,000      
      Fourth 41,400 $222,000      


     Management would like a cost formula derived for shipping expense so that a budgeted contribution format income statement can be prepared for the next quarter.

Required:
1.
Using the high-low method, estimate a cost formula for shipping expense based on the data for the last eight quarters above. (Omit the "$" sign in your response.)

  Y = $ + $ X

2.
In the first quarter of Year 3, the company plans to sell 37,000 units at a selling price of $55 per unit. Prepare a contribution format income statement for the quarter. (Input all amounts as positive values except losses which should be indicated by a minus sign. Omit the "$" sign in your response.)

Alden Company
Budgeted Income Statement
For the First Quarter of Year 3
  Sales   $  
  Variable expenses:    
       Cost of goods sold $    
       Shipping expense    
       Sales commissions    
 
 
  Total variable expenses    
   
  Contribution margin    
  Fixed expenses:    
       Shipping expense    
       Advertising expense    
       Administrative salaries    
       Depreciation expense    
 
 
  Total fixed expenses    
   
  Net operating income   $  
   




Explanation: 1.
High-low method:
  Units Sold   Shipping Expense
  High activity level 44,400      $ 246,000    
  Low activity level 30,000        174,000    
 
 

  Change 14,400      $ 72,000    
 

 





Variable cost per unit =
Change in cost
Change in activity

=
$72,000
 = $5 per unit
14,400 units

Fixed cost element:
     
  Total shipping expense at high activity level $ 246,000   
  Less variable element:
    44,400 units × $5.00 per unit
  222,000   
 

  Fixed cost element $ 24,000   
 





Therefore, the cost formula is: Y = $24,000 + $5X.

2.
Sales: (37,000 units × $55 per unit) = $2,035,000
Cost of goods sold: (37,000 units × $27 per unit) = $999,000
Shipping expense: (37,000 units × $5 per unit) = $185,000
Sales commission: ($2,035,000 × .07) = $142,450

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