Question

 

Xania Inc. uses a normal job-order costing system. Currently, a plantwide overhead rate based on machine hours is used. Xania’s plant manager has heard that departmental overhead rates can offer significantly better cost assignments than a plantwide rate can offer. Xania has the following data for its two departments for the coming year:

	Department A		Department B
Overhead costs (expected)	$110,000		$78,000
Normal activity (machine hours)	13,500		15,800

Required:

1. Compute a predetermined overhead rate for the plant as a whole based on machine hours. Round your answer to two decimal places.
$ per machine hour

2. Compute predetermined overhead rates for each department using machine hours. (Note: Round to two decimal places, if necessary.)

Department A	$ per machine hour
Department B	$ per machine hour

3. Conceptual Connection: Job 73 used 20 machine hours from Department A and 50 machine hours from Department B. Job 74 used 50 machine hours from Department A and 20 machine hours from Department B. Compute the overhead cost assigned to each job using the plantwide rate computed in Requirement 1. Repeat the computation using the departmental rates found in Requirement 2. Round final answers to the nearest cent, if necessary.

	Job 73	Job 74
Plantwide	$	$
Departmental	$	$

Which of the two approaches gives the fairer assignment?
Departmental rates

4. Conceptual Connection: Repeat Requirement 3, assuming the expected overhead cost for Department B is $103,000 (not $78,000). Round overhead rates to the nearest cent.

	Job 73	Job 74
Plantwide	$	$
Departmental	$	$

For this company, would you recommend departmental rates over a plantwide rate?
Yes

  

Answer 1

 

Xania Inc.
Answer 1
Calculation of single plant wide OH Rate	Dept. A	Dept. B	Total	Note
Machine Hours	13,500.00	15,800.00	29,300.00	A
Overhead costs	110,000.00	78,000.00	188,000.00	B
Plant wide OH Rate			6.42	C=B/A
Answer 2
Calculation of departmental OH Rate	Dept. A	Dept. B	Total	Note
Machine Hours	13,500.00	15,800.00	29,300.00	See A
Overhead costs	110,000.00	78,000.00	188,000.00	See B
Departmental OH Rate	8.15	4.94		E=B/A
Answer 3. 1
Overhead applied to Job 73	Dept. A	Dept. B	Total	Note
Machine Hours	20.00	50.00	70.00	F
Plant wide OH Rate			6.42	See C
Overhead applied to Job 73			449.00	G=F*C
Overhead applied to Job 74	Dept. A	Dept. B	Total	Note
Machine Hours	50.00	20.00	70.00	H
Plant wide OH Rate			6.42	See C
Overhead applied to Job 74			449.00	I=H*C
Answer 3. 2
Overhead applied to Job 73	Dept. A	Dept. B	Total	Note
Machine Hours	20.00	50.00		See F
Departmental OH Rate	8.15	4.94		See E
Overhead applied to Job 73	163.00	247.00	410.00	J=F*E
Overhead applied to Job 74	Dept. A	Dept. B	Total	Note
Machine Hours	50.00	20.00		See H
Departmental OH Rate	8.15	4.94		See E
Overhead applied to Job 74	408.00	99.00	507.00	K=H*E
Answer 4
Calculation of single plant wide OH Rate	Dept. A	Dept. B	Total	Note
Machine Hours	13,500.00	15,800.00	29,300.00	See A
Overhead costs	110,000.00	103,000.00	213,000.00	L
Plant wide OH Rate			7.27	M=L/A
Calculation of departmental OH Rate	Dept. A	Dept. B	Total	Note
Machine Hours	13,500.00	15,800.00	29,300.00	See A
Overhead costs	110,000.00	103,000.00	213,000.00	See L
Departmental OH Rate	8.15	6.52		D=L/A
Overhead applied to Job 73	Dept. A	Dept. B	Total	Note
Machine Hours	20.00	50.00	70.00	See F
Plant wide OH Rate			7.27	See M
Overhead applied to Job 73			509.00	N=M*F
Overhead applied to Job 74	Dept. A	Dept. B	Total	Note
Machine Hours	50.00	20.00	70.00	See H