Question

In: Economics

Solexx Corporation allocates its service department overhead costs to producing departments. This information is for the month of Ju

 Solexx Corporation allocates its service department overhead costs to producing departments. This information is for the month of June:

Service Departments Maintenance Utilities Overhead costs incurred $513,000 $ 708,000

Service provided to departments Maintenance 5% Utilities 10% Producing-A 20 40 Producing-B 70 55 Totals 100% 100%

Required: What is the amount of maintenance and utilities department costs distributed to producing departments A and B for June using (1) the direct method, (2) the step method (maintenance department first), and (3) the reciprocal method? (Round percentage calculations to 4 decimal places (e.g., 33.3333%), do not round Intermediate calculations and round your final answers to the nearest dollar amount.)

Solutions

Expert Solution

DIRECT METHOD

  Department A Department B Maintenance Utilities
Operating costs $ -   $ -   $ 513,000 $ 708,000
Maintenance $ 114,000 $       399,000 $    (513,000)  
Utilities $       298,105 $       409,895   $ (708,000)
         
Total $       412,105 $       808,895 $                -   $              -  

STEP METHOD

  Department A Department B Maintenance Utilities
Operating costs $ -   $                  -   $ 513,000 $ 708,000
Maintenance $ 102,600 $        359,100 $ (513,000) $ 51,300
Total $ 102,600 $        359,100 $                 -   $ 759,300
Utilities $        319,705 $        439,595 $                 -   $ (759,300)
Total $        422,305 $        798,695 $                 -   $ -  

RECIPROCAL METHOD

Let the total cost of Maintenance be x.
Let the total cost of Utilities be y.

.

So,

x = 513,000 + 0.05y ---------Equation 1
y = 708,000 + 0.1x ---------Equation 2
Solving Equation 1 and 2:
Substitute value of 'y' from equation 2 in Equation 1-
So, x = 513,000 + 0.05 (708,000 + 0.1x)
So, x = $ 551,155.78
The total cost of Maintenance is $ 551,155.78

.

Putting the value of x in equation 2-
So, y = 708,000 + 0.1 * 551,155.78
So, y = $ 763,115.58
The total cost of Utilities is $ 763,115.58

.

  Department A Department B Maintenance Utilities
Total cost $ -   $                  -   $ 513,000 $ 708,000
Maintenance $    110,231.16 $ 385,809.04 $ (551,155.78) $ 55,115.58
Total cost $    110,231.16 $ 385,809.04 $ (38,155.78) $ 763,115.58
Utilities $ 305,246.23 $ 419,713.57 $ 38,155.78 $ ( 763,115.58)
Total cost $ 415,477.39 $ 805,522.61 $                   -  

Answer

  Department A Department B Total
Direct method $ 412,105 $ 808,895 $ 1,221,000
Step method $        422,305 $        798,695 $ 1,221,000
Reciprocal method $ 415,477.39 $ 805,522.61 $ 1,221,000

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