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The following is a summary of the service-support and operations departmnets for Clear Company: ACCT Purchasing Assembly Pack

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Reciprocal Method ACCT Purchasing Assembly Packaging Total
Hours used                     -              2,000.00            5,700.00              2,300.00            10,000.00
Purchasing of empty              25.00                        -                 200.00                 175.00                 400.00
Hours used % 0.00% 20.00% 57.00% 23.00% 100.00%
Purchasing of empty % 6.25% 0.00% 50.00% 43.75% 100.00%
Department cost        6,200.00           3,000.00         25,000.00           30,000.00           64,200.00
Let cost of ACCT is $ X and Purchasing is $ Y
So, X= 6200+ 0.0625Y
Y= 3000+ 0.20X
Substituting the value of X in equation 2:
Y = 3000 + 0.20(6,200 + 0.0625Y)
Y = 3000 + 1240+.0125Y
Y – 0.0125Y = 3000+1,240
0.9875Y = 4,240
Y = 4,240/0.9875
Y = $ 4,294
Substituting the value of Y in equation 1:
So, X= 6200+ .00625Y
So, X= 6200+ 0.0625*4294
So, X= 6200+ 268
X= $ 6,468
Allocation Summary ACCT Purchasing Assembly Packaging Total
Hours used %                     -   20.00% 57.00% 23.00% 100.00%
Purchasing of empty % 6.25%                        -   50.00% 43.75% 100.00%
Department cost        6,200.00           3,000.00         25,000.00           30,000.00           64,200.00
Allocation
ACCT       (6,468.00)            1,294.00            3,686.00              1,488.00                          -  
Purchasing            268.00          (4,294.00)            2,147.00              1,879.00                          -  
Cost after allocation                     -                          -           30,833.00           33,367.00           64,200.00
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