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