Exercise 13-30 Name:
Insert your answers in the gray-shaded cells. If an answer is incorrect,
the word “wrong” will appear.
Administration HR Accounting
Administration – 0.10 0.10
Human resources 0.10 – 0.10
Accounting 0.10 0.10 –
Checking 0.30 0.30 0.40
Savings 0.40 0.20 0.20
Loans 0.10 0.30 0.20
Type equation to show how much cost is allocated to each department
(A) Administration =
(B) Human resources =
(C) Accounting =
Admin. HR Acctg.
Direct cost 540,000$ 360,000$ 300,000$
Admin. (627,271) 62,727 62,727
Human resources 46,363 (463,625) 46,363
B = $360,000 + 0.10(540,000 + 0.10B + 0.10C) + 0.10C
C = $300,000 + 0.10($540,000 +0.10B + 0.10C) + 0.10B
B = $360,000 + $54,000 + 0.01B + 0.01C + 0.10C
B = $414,000 + 0.01B + 0.11C
0.99B = $414,000 + 0.11C
C = $300,000 + $54,000 + 0.01B + 0.01C + 0.10B
C = $345,000 + 0.11B + 0.01C
0.99C = $354,000 + .011B
C = $357,578 + 0.1111B
Solution
$540,000 + 0.10B + 0.10C
$360,000 + 0.10A + 0.10C
$300,000 + 0.10A + 0.10B
0.99B = $414,000 + 0.11($357,578 + 0.1111B)
0.99B = $414,000 + $39,333+ 0.0122B
0.9778B = $453,333
B = $409,087
C = $357,578 + 0.1111($463,625)
C = $357,578 + $51,509
C = $409,087
A = $540,000 + 0.10($463,625) + 0.10($409,087)
A = $540,000 + $46,362.50 + $40,908.70
A = $627,271.20
Total costs 1$ 11$ 5$
Note: The Administration, Human Resources, and Accounting columns will not sum to $0
because of rounding. Total costs will also be off due to rounding.
Check. Sav. Loans
630,000$ 337,500$ 675,000$
188,181 250,908 62,727
139,088 92,725 139,088
163,634 81,817 81,817
B = $360,000 + 0.10(540,000 + 0.10B + 0.10C) + 0.10C
C = $300,000 + 0.10($540,000 +0.10B + 0.10C) + 0.10B
B = $360,000 + $54,000 + 0.01B + 0.01C + 0.10C
B = $414,000 + 0.01B + 0.11C
0.99B = $414,000 + 0.11C
C = $300,000 + $54,000 + 0.01B + 0.01C + 0.10B
C = $345,000 + 0.11B + 0.01C
0.99C = $354,000 + .011B
C = $357,578 + 0.1111B
0.99B = $414,000 + 0.11($357,578 + 0.1111B)
0.99B = $414,000 + $39,333+ 0.0122B
0.9778B = $453,333
B = $409,087
C = $357,578 + 0.1111($463,625)
C = $357,578 + $51,509
C = $409,087
A = $540,000 + 0.10($463,625) + 0.10($409,087)
A = $540,000 + $46,362.50 + $40,908.70
A = $627,271.20
1,120,903$ 762,950$ 958,632$
Note: The Administration, Human Resources, and Accounting columns will not sum to $0