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The following data have been extracted from the records of Riddle Co.: July Dece

ID: 2378513 • Letter: T

Question

The following data have been extracted from the records of Riddle Co.:

July

December

  Production   level, in units

9,500

15,200

  Variable costs

$

23,750

$

?   

  Fixed costs

?   

38,600

  Mixed costs

20,855

?   

  Total costs

$

83,205

$

107,088

Required:

(a)

Calculate the missing costs. (Do not round your intermediate calculations. Omit the "$" sign in your response.)

July

December

  Production level, in units

9,500

15,200

  Variable costs

$

23,750

$

  Fixed costs

38,600

  Mixed costs

20,855

  Total costs

$

83,205

$

107,088

(b)

Calculate the cost formula for mixed cost using the high-low method. (Do not round your intermediate calculations. Round your answer to 2 decimal places. Omit the "$" sign in your response.)

  Cost formula

=

$  

+

$  

per unit

The following data have been extracted from the records of Riddle Co.:

Explanation / Answer

a) Fixed cost for July = Fixed cost for December = $38,600


Variable cost for 9500 units in July = 23,750

Variable cost for 15200 units in December =23,750/9500*15200 =38000


Mixed cost in December = Total cost - variable cost - fixed cost =107088-(38000+38600) =$30488


July

December

Production level, in units

9,500

15,200

Variable costs

$

23,750

$

Fixed costs

38,600

Mixed costs

20,855

Total costs

$

83,205

$

107,088

b.


Where,
y2 is the total cost at highest level of activity;
y1 is the total cost at lowest level of activity;
x2 are the number of units/labor hours etc. at highest level of activity; and
x1 are the number of units/labor hours etc. at lowest level of activity

Variable cost per unit =(30488-20855)/(15,200-9500) = 1.69

Fixed cost = 30488- 1.69*15,200 =$4800


Cost formula = $4800 + $1.69* per unit


July

December

Production level, in units

9,500

15,200

Variable costs

$

23,750

$

38,000

Fixed costs

38,600


38,600

Mixed costs

20,855

30,488

Total costs

$

83,205

$

107,088

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