4.3: Departmental rates to estimate factory overhead
- Page ID
- 44222
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)A different predetermined rate may be used to estimate factory overhead in each department. Within a department, the rate is the same for all products. The following amounts are given.
|
Total budgeted factory overhead costs for the Cutting Department for the year |
$310,000 |
|
Total budgeted direct labor hours for the Cutting Department |
2,000 |
|
Total budgeted factory overhead costs for the Assembly Department for the year |
$236,000 |
|
Total budgeted direct labor hours for the Assembly Department |
1,000 |
The department factory overhead rate is $155 per direct labor hour in the Cutting Department and $236 per direct labor hour in the Assembly Department, determined as follows.
|
Cutting |
Assembly |
|
|
Budgeted departmental factory overhead |
$310,000 |
$236,000 |
|
Departmental budgeted activity base |
2,000 = $155 |
1,000 = $236 |
Direct labor hours used and factory overhead estimated for this job are as follows:
|
Job 1: |
Cutting Department |
135 direct labor hours x $155 = |
$20,925 |
|
Job 1: |
Assembly Department |
75 direct labor hours x $236 = |
17,700 |
|
Job 1: |
Total |
\(\ \overline{$38,625}\) |
|
|
Job 2: |
Cutting Department |
65 direct labor hours x $155 = |
$10,075 |
|
Job 2: |
Assembly Department |
25 direct labor hours x $236 = |
5,900 |
|
Job 2: |
Total |
\(\ \overline{$15,975}\) |
|
|
Total |
$54,600 |
The journal entry to apply factory overhead of $54,600 to this job is as follows:
|
Account |
Debit |
Credit |
|
|
Work in Process |
54,600 |
▲ Work in Process is an asset (inventory) |
|
|
Factory Overhead |
54,600 |
▼ Factory Overhead is an expense account that is decreasing |
|
In the example so far, the use of departmental rates vs. a single factory rate yields different results in terms of how much factory overhead is applied to each of the two jobs. Although the total factory overhead applied, $54,600, is the same under both methods, the amount allocated to each job differs, as follows:
|
Single Factory |
Departmental |
|
|
Job 1: |
$38,220 |
$38,625 |
|
Job 2: |
16,380 |
15,975 |
Using departmental rates is more job-specific and therefore results in a more precise allocation of factory overhead to the jobs than the single rate. However, it takes a bit more effort to calculate vs. using the single factory rate that is applied to all jobs uniformly.


