University Printers has two service departments (Maintenance and Personnel) and two operating departments (Printing and Developing). Management has decided to allocate maintenance costs on the basis of machine-hours in each department and personnel costs on the basis of labor-hours worked by the employees in each. The following data appear in the company records for the current period: Maintenance Personnel Printing Developing Machine-hours — 1,500 1,500 4,500 Labor-hours 500 — 500 3,500 Department direct costs $ 4,800 $ 14,800 $ 16,000 $ 13,300 Required: Allocate the service department costs using the step method, starting with the Maintenance Department. (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations.)

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Answer:

[tex]\left[\begin{array}{ccccc}&Maintenance&Personnel&Printing&Developing\\Maintenance&&1,500&1,500&4,500\\Personnel&500&&500&3,500\\Direct \: Cost&4,800&14,800&16,000&13,300\\Allocate M&-4,800&960&960&2,880\\&&15,760&16,960&16,180\\Allocate P&&-15,760&1,970&13,790\\&&&18,930&29,970\\\end{array}\right][/tex]

Explanation:

First we allowace mainenance, so we distribute their cost according to the machine hours

1500 + 1500 + 4500 = 7500 total machine hours

personnel    cuota = 1500/7500 x 4,800

printing        cuota = 1500/7500 x 4,800

developing  cuota = 4500/7500 x 4,800

The we add it to the department

We do the same for personnel:

500 printing + 3,500 developing = 4,000

And now we distribute for the two operating department

printing        cuota = 500/4,000   x  15,760

developing  cuota = 3,500/4,000 x  15,760

Notice we use the cost of personnel after allocate a portion of maintenance into it!

Last we add the cost for the total of the operating department