In: Economics
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.)
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 |