M10 - day 1

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Ch M10 – Day 1
Cost Allocation and Activity Bases
Ex. 10–1 Single Plantwide Factory Overhead Rate
($85,000/4,000) × 1,800 = $38,250
Ex. 10–2 Single Plantwide Factory Overhead Rate
a. Single plantwide factory overhead rate =
$261,450
7,470 direct labor hours *
= $35 per direct labor hour
*Total direct labor hours:
Budgeted Production
Volume
Trumpets .........
Tubas ...............
Trombones ......
Total .................
3,000 units
2,500
1,200
×
Direct Labor
Hours per Unit
=
×
×
×
0.8
1.5
1.1
=
=
=
Direct Labor
Hours
2,400
3,750
1,320
7,470
b.
Direct
Labor
Hours
Trumpets .......
Tubas.............
Trombones ....
Total...............
Single Plantwide Rate
per Direct
× Labor Hour =
2,400 ×
3,750 ×
1,320 ×
7,470
$35
35
35
Factory
Overhead
= $ 84,000
= 131,250
=
46,200
$261,450
1 of 7
Factory Overhead per Unit
(Factory Overhead ÷ Budgeted Production Volume)
$ 84,000 ÷ 3,000 units = $28.00
$131,250 ÷ 2,500 units = $52.50
$ 46,200 ÷ 1,200 units = $38.50
BUSA 102
Ch M10 – Day 1
Cost Allocation and Activity Bases
Ex. 10–3 Product Costs, Profitability Reports, Using Single OH Rate
a. Single plantwide factory overhead rate =
$528,000
13,200 processing hours *
= $40 per processing hour
The selling and administrative expenses are not factory overhead.
*Total processing hours:
Budgeted Production
Volume
(Cases)
×
Tortilla chips ...
Potato chips ....
Pretzels ............
Total .................
20,000
60,000
18,000
98,000
Processing
Hours per Case
=
0.12
0.15
0.10
=
=
=
×
×
×
Processing
Hours
2,400
9,000
1,800
13,200
b.
Single Plantwide
Factory OverProcessing
head Rate per
Hours
× Processing Hour =
Tortilla chips .
Potato chips ..
Pretzels ..........
Total ...............
2,400
9,000
1,800
13,200
×
×
×
=
=
=
$40
40
40
2 of 7
Factory
Overhead
Factory Overhead per Case
(Factory Overhead ÷ Budgeted Production Volume
$ 96,000 $ 96,000/20,000 cases = $4.80
360,000 $360,000/60,000 cases = $6.00
72,000 $ 72,000/18,000 cases = $4.00
$528,000
BUSA 102
Ch M10 – Day 1
Cost Allocation and Activity Bases
Ex. 10–5 Multiple Production Department Factory OH Rate Method
a. Production department factory overhead rates:
Pattern
Department
Total factory overhead...............................
Direct labor hours ......................................
Departmental overhead rate .....................
$
÷
$
128,000
4,000 dlh
32.00/dlh
Cut and Sew
Department
÷
$
$260,000
5,000 dlh
52.00/dlh
b. Product cost allocation:
Small
Glove
Direct labor hours per unit—
Pattern Dept. .............................
Pattern Dept. factory overhead
rate ............................................
Pattern Department factory
overhead ...................................
Direct labor hours per unit—
Cut and Sew Dept. ....................
Cut and Sew Dept. factory
overhead rate ............................
Cut and Sew Dept. factory
overhead ...................................
Total factory overhead per glove ..
3 of 7
Medium
Glove
Large
Glove
0.02
0.04
0.08
× $32.00
× $32.00
× $32.00
$0.64
$1.28
$2.56
0.05
0.06
0.08
× $52.00
× $52.00
× $52.00
2.60
$3.24
3.12
$4.40
4.16
$6.72
BUSA 102
Ch M10 – Day 1
Cost Allocation and Activity Bases
Ex. 10–6 Single & Multiple FOH Rates and Product Distortion
a. Plantwide factory overhead rate:
Budgeted factory overhead
Plantwide allocation base
=
$850,000
5,000 direct machine hours
= $170.00 per dmh
Product costs:
Desktop
1.25
× $170.00
$212.50
Total direct machine hours per unit ....................
Plantwide factory overhead rate ..........................
Factory overhead per unit ....................................
Portable
2.0
× $170.00
$340.00
b. Department factory overhead rates:
Production department overhead.............
Direct machine hours ................................
Production department overhead rate .....
Assembly
Department
Testing
Department
$570,000
÷ 3,000 dmh
$ 190.00/dmh
$280,000
÷ 2,000 dmh
$ 140.00/dmh
Product cost allocation:
Desktop
Direct machine hours per unit—
Assembly Department ...................
Assembly Department factory
overhead rate..................................
Assembly Department factory
overhead .........................................
Direct machine hours per unit—
Testing Department .......................
Testing Department factory
overhead rate..................................
Testing Department factory
overhead .........................................
Total factory overhead per unit ...........
Portable
0.75
1.20
× $190.00
× $190.00
$142.50
$228.00
0.50
0.80
× $140.00
× $140.00
70.00
$212.50
112.00
$340.00
c. The factory overhead determined under the single plantwide factory overhead rate and multiple production department factory overhead rate methods are the same. This is because the
ratio of direct machine hours used by each product from the two departments is the same. The
desktop machine uses 0.75 direct machine hours in the Assembly Department and 0.50 hours
in the Testing Department, or a ratio of 3:2. The portable computer uses 1.20 direct machine
hours in the Assembly Department and 0.80 hours in the Testing Department, also for a ratio
of 3:2. Thus, even though the two production department overhead rates are different, this is
not sufficient for the plantwide rate to cause product cost distortion. Thus, Swell should consider remaining with the easier single plantwide rate method in this circumstance.
4 of 7
BUSA 102
Ch M10 – Day 1
Cost Allocation and Activity Bases
Ex. 10– 7 Single & Multiple FOH Rates and Product Distortion
a. Plantwide factory overhead rate:
Budgeted factory overhead
Plantwide allocation base
=
$825,000
5,000 direct labor hours
= $165 per dlh
Product costs:
Total direct labor hours per unit ...............
Plantwide factory overhead rate ...............
Factory overhead per unit .........................
Gasoline
Engine
Diesel
Engine
4
× $165
$660
4
× $165
$660
Fabrication
Department
Assembly
Department
$575,000
÷ 2,500 dlh
$ 230.00/dlh
$250,000
÷ 2,500 dlh
$ 100.00/dlh
b. Department factory overhead rates:
Total production department factory
overhead .................................................
Direct labor hours .........................................
Production department overhead rate ........
Product cost allocation:
Gasoline Engine
Direct labor hours per unit—
Fabrication Department .................
Fabrication Department factory
overhead rate..................................
Fabrication Department factory
overhead .........................................
Direct labor hours per unit— ...............
Assembly Department ...................
Assembly Department factory
overhead rate..................................
Assembly Department factory
overhead .........................................
Total factory overhead per unit ...........
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Diesel Engine
1
3
× $230.00
× $230.00
$230.00
$690.00
3
1
× $100.00
× $100.00
300.00
$530.00
100.00
$790.00
BUSA 102
Ch M10 – Day 1
Cost Allocation and Activity Bases
Ex. 10–7 Single & Multiple FOH Rates and Product Distortion
Concluded
c. Management should select the multiple department factory overhead rate
method of allocating overhead costs. The single plantwide factory overhead
rate method indicates that both products have the same factory overhead of
$660 per unit. This is because each product uses a total of 4 direct labor hours
per unit. However, each product uses these 4 direct labor hours much differently. The gasoline engine consumes 1 hour in the expensive Fabrication Department and 3 hours in the less expensive Assembly Department. The opposite is the case for diesel engines. Thus, the multiple production department
rate method avoids the cost distortions of the single plantwide rate method by
accounting for the overhead in each production department separately. In this
case, there are both production department rate differences across the departments and differences in the ratios of allocation-base usage of the products across the departments (1:3 vs. 3:1). These conditions will cause the single plantwide rate method to distort product costs.
Prob. 10–1A Single Plantwide Factory OH Rate
1. a.
b.
Direct labor overhead rate:
$1,404,000
= $540 per direct labor hour
2,600 direct labor hours
Machine hour overhead rate:
$1,404,000
= $300 per machine hour
4,680 machine hours
2.
Automobile
Bumpers
Valve Covers
Stamping Department ..............................
490 dlh
Plating Department ..................................
260
Total direct labor hours ...........................
750 dlh
Direct labor factory overhead rate .......... × $540/dlh
Allocated factory overhead ..................... $405,000
450 dlh
290
740 dlh
× $540/dlh
$399,600
760 dlh
350
1,110 dlh
× $540/dlh
$599,400
420 mh
810
1,230 mh
× $300/mh
$369,000
710 mh
1,370
2,080 mh
× $300/mh
$624,000
Wheels
a. Direct labor hours:
b. Direct machine hours:
Stamping Department ..............................
450 mh
Plating Department ..................................
920
Total machine hours ................................
1,370 mh
Machine hour factory overhead rate ....... × $300/mh
Allocated factory overhead ..................... $411,000
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BUSA 102
Ch M10 – Day 1
Cost Allocation and Activity Bases
Prob. 10–2A Multiple Production Dept. Factory Overhead Rates
1.
Production department factory
overhead totals .....................................
Activity base ...............................................
Production department rate ......................
Stamping Dept.
Plating Dept.
$892,500
÷ 1,700 dlh
$
525/dlh
$511,500
÷ 3,100 mh
$
165/mh
2.
Automobile
Bumpers
Labor hours—Stamping
Department ...........................
Stamping Dept. factory
overhead rate per labor hr. ..
Stamping Department factory
overhead ...............................
Machine hours—Plating
Department ...........................
Plating Department factory
overhead rate per mach. hr.
Plating Department factory
overhead ...............................
Total factory overhead ..............
Valve Covers
Wheels
490
450
760
× $525
× $525
× $525
$257,250
$236,250
$399,000
920
810
1,370
× $165
× $165
× $165
151,800
$409,050
133,650
$369,900
226,050
$625,050
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BUSA 102
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