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