Step 1)
Janitorial department = $ 310,000 + (10/50) cafeteria department .... Equation (1)
Cafeteria department = $ 169,000 + (5000/10,000) Janitorial department ... Equation (2)
Janitorial department = $ 310,000 + [1/5 {$169,000 + (5,000/10,000) janitorial department} ]
Janitorial department = $ 310,000 + $ 33,800 + 0.10 Janitorial department
0.90 Janitorial department = $ 343,800
Janitorial department = $ 343,800 / 0.90 = $ 382,000
Putting the value of janitorial department expenses in equation (1) we get,
$ 382,000 = $ 310,000 + (10/50) cafeteria department
$ 72,000 = 1/5 cafeteria department
Cafeteria department = $ 72,000 X 5/1 = $ 360,000
Step 2)
Janitorial department to cutting department :
$ 382,000 X 1,000 / 10,000 = $ 38,200
Janitorial department to Assembly department :
$ 382,000 X 4,000 / 10,000 = $ 152,800
Step 3)
Cafeteria department to cutting department :
$ 360,000 X 30/ 50 = $ 216,000
Cafeteria department to Assembly department :
$ 360,000 X 10/50 = $ 72,000
Step 4) Preparation of allocation table :
Cutting Department | Assembly department | |
Janitorial department cost allocation | $ 38,200 | $ 152,800 |
Cafeteria department cost allocation | $ 216,000 | $ 72,000 |
Total = | $ 254,200 | $ 224,800 |
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