managerial accounting hilton 6e chapter 4 solution
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Managerial Accounting Hilton 6e Chapter 4 SolutionTRANSCRIPT
CHAPTER 1
CHAPTER 4
Process Costing and Hybrid Product-Costing Systems
Answers to Review Questions
4-1In a job-order costing system, costs are assigned to batches or job orders of production. Job-order costing is used by firms that produce relatively small numbers of dissimilar products. In a process-costing system, costs are averaged over a large number of product units. Process costing is used by firms that produce large numbers of nearly identical products.
4-2Process costing would be an appropriate product-costing system in the following industries: petroleum, food processing, lumber, chemicals, textiles, and electronics. Each of these industries is involved in the production of very large numbers of highly similar products.
4-3Process costing could be used in the following nonmanufacturing enterprises: processing of tests in a medical diagnostic laboratory, processing of tax returns by the Internal Revenue Service, and processing of loan applications in a bank.
4-4Product-costing systems are used for the following purposes:
(a)In financial accounting: Product costs are needed to value inventory on the balance sheet and to compute the cost-of-goods-sold expense on the income statement.
(b)In managerial accounting: Product costs are needed for planning, for cost control, and to provide managers with data for decision making.
(c)In reporting to interested organizations: Product cost information is used to report on relationships between firms and various outside organizations. For example, hospitals keep track of the costs of medical procedures that are reimbursed by insurance companies or by the federal government under the Medicare program.
4-5An equivalent unit is a measure of the amount of productive effort applied in the production process. In process costing, costs are assigned to equivalent units rather than to physical units.
4-6The following four steps are used in process costing:
(a)Analysis of physical flow of units: All of the units in the beginning and ending inventories, those started during the period, and those transferred out to finished goods are accounted for.
(b)Calculation of equivalent units: The equivalent units of activity are computed for direct material and for conversion.
(c)Computation of unit costs: The costs per equivalent unit for direct material and conversion are computed.
(d)Analysis of total costs: The cost of the goods completed and transferred out and the cost of the ending work-in-process inventory are determined.
4-7(a)Journal entry to enter direct-material costs into Work-in-Process Inventory account:
Work-in-Process Inventory: Department A
XXX
Raw-Material Inventory
XXX
(b)Journal entry to record transfer of goods from the first to the second department in the production sequence:
Work-in-Process Inventory: Department B
XXX
Work-in-Process Inventory: Department A
XXX
4-8Transferred-in costs are the costs assigned to partially completed products that have been transferred from one production department into the next department.
4-9The $175,000 of transferred-in costs were incurred prior to January 1 and in the mixing department. The costs must have been incurred prior to January 1, because they are included in the cost of the beginning work-in-process inventory on that date. Moreover, these costs must have been incurred in the mixing department, because they have been transferred into the cooking department.
4-10The name ''weighted-average method'' comes from the fact that the cost per equivalent unit computed under this method is a weighted average of costs incurred during the current period and costs incurred during prior periods.
4-11The difference between normal and actual costing lies in the calculation of the manufacturing-overhead cost of the current period. Under actual costing, the manufacturing-overhead cost of the current period is the actual overhead cost incurred during the period. Under normal costing, the current-period manufacturing overhead is computed as the product of the predetermined overhead rate and the actual level of the cost driver used to apply manufacturing overhead.
4-12If manufacturing overhead were applied according to some activity base (or cost driver) other than direct labor, then direct-labor costs and manufacturing-overhead costs would be accounted for separately instead of being combined into one account called "conversion costs." Thus, instead of two columns for direct-material and conversion costs, there would be three columns: direct material, direct labor, and manufacturing overhead.
4-13Operation costing is a hybrid product-costing system that is used when conversion activities are very similar across product lines, but the direct materials differ significantly. This is often the case in batch manufacturing operations. Conversion costs are accumulated by department, and process-costing methods are used to assign these costs to products. In contrast, direct-material costs are accumulated by job order or by batch, and job-order costing is used to assign direct-material costs to products.
4-14The departmental production report is the key document in a process-costing system rather than the job-cost sheet used in job-order costing. The departmental production report shows the analysis of the physical flow of units, the calculation of equivalent units, the computation of the cost per equivalent unit, and the analysis of the total costs incurred in the production department. The report shows the cost of the ending work-in-process inventory as well as the cost of the goods completed and transferred out of the department.
4-15 There is no direct material in the March 1 work in process for the stitching department because direct material (rawhide lacing) is added at the end of the process in that department.
Solutions to Exercises
Exercise 4-16 (10 minutes)
The general formula for all three cases is the following:
Work-in-process, beginning+Units started during monthUnits completed during month=Work-in-process,
ending
Using this formula, the missing amounts are:
1.12,000 units
2.5,300 kilograms
3.750,000 gallons
EXERCISE 4-17 (30 MINUTES)
All three of these companies manufacture large numbers of relatively homogeneous products (i.e., lumber and paper). Therefore, process costing is an appropriate product-costing system.
Exercise 4-18 (15 minutes)
1.6,000 equivalent units (refer to (a) in the following table)
2.4,400 equivalent units (refer to (b) in the following table)
Calculation of Equivalent Units: Rainbow glass company
Weighted-Average Method
Physical UnitsPercentage of Completion with Respect to Conversion
Equivalent Units
Direct Material
Conversion
Work in process, October 1
1,00060%
Units started during October
5,000
Total units to account for
6,000
Units completed and transferred out during October
4,000
100%
4,000
4,000
Work in process, October 31
2,00020%2,000400
Total units accounted for
6,000
_________
Total equivalent units
(a) 6,000(b) 4,400
Exercise 4-19 (15 minutes)
Calculation of Equivalent Units: terra energy company - lodi Plant
Weighted-Average Method
Physical UnitsPercentage of Completion with Respect to ConversionEquivalent Units
Direct Material
Conversion
Work in process, November 1
2,000,00025%
Units started during November
950,000
Total units to account for
2,950,000
Units completed and transferred
out during November
2,710,000
100%
2,710,000
2,710,000
Work in process, November 30
240,00080%240,000192,000
Total units accounted for
2,950,000
________________
Total equivalent units
2,950,0002,902,000
Exercise 4-20 (20 minutes)
Calculation of Equivalent Units: fit-for-life Foods Corporation
Weighted-Average Method
Physical UnitsPercentage of Completion with Respect to Direct Material
Percentage of Completion withRespect to ConversionEquivalent Units
Direct Material
Conversion
Work in process, January 1
20,00080%60%
Units started during the year
120,000
Total units to account for
140,000
Unit completed and transferred out during the year
125,000
100%
100%
125,000
125,000
Work in process, December 3115,00070%30%10,5004,500
Total units accounted for
140,000
_____________
Total equivalent units
135,500129,500
Exercise 4-21 (15 minutes)
Calculation of Cost per Equivalent Unit: idaho Lumber Company
Weighted-Average Method
Direct MaterialConversionTotal
Work in process, November 1
$65,000$180,000$ 245,000
Costs incurred during November
425,000690,000 1,115,000
Total costs to account for
$490,000$870,000$1,360,000
Equivalent units
7,0001,740
Costs per equivalent unit
$70*$500$570
*$70 = $490,000 7,000
$500 = $870,000 1,740
Exercise 4-22 (15 minutes)
Calculation of Cost Per Equivalent Unit: otsego Glass Company
Weighted-Average Method
Direct MaterialConversionTotal
Work in process, June 1
$37,000$36,750$73,750
Costs incurred during June
150,000230,000380,000
Total costs to account for
$187,000$266,750$453,750
Equivalent units
17,00048,500
Costs per equivalent unit
$11.00*$5.50$16.50
*$11.00 = $187,000 17,000
$5.50 = $266,750 48,500
Exercise 4-23 (25 minutes)
savannah Textiles Company
Weighted-Average Method
Direct MaterialConversionTotal
Work in process, September 1
$94,000$44,400$138,400
Costs incurred during September
164,000272,800436,800
Total costs to account for
$258,000$317,200$575,200
Equivalent units
60,00052,000
Costs per equivalent unit
$4.30$6.10$10.40
1.Cost of goods completed and
transferred out during September:
50,000$10.40$520,000
2.Cost remaining in September 30
work in process:
Direct material (10,000*$4.30)
$43,000
Conversion (2,000*$6.10)
12,200
Total
55,200
Total costs accounted for
$575,200
*Equivalent units in September 30 work in process:
DirectMaterialConversion
Total equivalent units (weighted average)
60,00052,000
Units completed and transferred out
(50,000)(50,000)
Equivalent units in ending work in process
10,0002,000
Exercise 4-24 (25 minutes)
tulsa Paperboard Company
Weighted-Average Method
Direct MaterialConversionTotal
Work in process, February 1
$5,500$17,000$22,500
Costs incurred during February
110,000171,600281,600
Total costs to account for
$115,500$188,600$304,100
Equivalent units
110,00092,000
Costs per equivalent unit
$1.05$2.05$3.10
1.Cost of goods completed and
transferred out during February:
90,000$3.10$279,000
2.Cost remaining in February 28 work
in process:
Direct material (20,000*$1.05)
$21,000
Conversion (2,000*$2.05)
4,100
Total
25,100
Total costs accounted for
$304,100
*Equivalent units in February 28 work in process:
DirectMaterialConversion
Total equivalent units (weighted average)
110,00092,000
Units completed and transferred out
(90,000)(90,000)
Equivalent units in ending work in process
20,000 2,000
Exercise 4-25 (45 minutes)
1.Diagram of production process:
Work-in-Process Inventory:
Preparation Department
Batch P25Batch S33
Accumulated
by
departmentConversion costs: Direct-labor Manufacturing overhead
Work-in-Process Inventory:
Finishing Department
Batch P25Batch S33
Accumulated
by
batchDirect-
material
costs
Work-in-Process Inventory:
Packaging Department
Batch P25
Finished-Goods Inventory
Exercise 4-25 (Continued)
2. The product cost for each basketball is computed as follows:
ProfessionalScholastic
Direct material:
Batch P25 ($42,000 2,000)
$21.00-0-
Batch S33 ($45,000 4,000)
-0-$11.25
Conversion: Preparation Department
7.507.50
Conversion: Finishing Department
6.006.00
*Conversion: Packaging Department
.50-0-
Total product cost
$35.00$24.75
*The two production departments each worked on a total of 6,000 balls, but the Packaging Department handled only the 2,000 professional balls.
3.Journal entries:
Work-in-Process Inventory: Preparation Department
39,500*
Raw-Material Inventory
39,500
*$39,500 = $42,000 of direct material
for batch P25 $2,500 of packaging material
Work-in-Process Inventory: Preparation Department
45,000*
Raw-Material Inventory
45,000
*Direct-material cost for batch S33.
Work-in-Process Inventory: Preparation Department
45,000*
Applied Conversion Costs
45,000
*$45,000 = 6,000 units$7.50 per unit
Work-in-Process Inventory: Finishing Department
129,500*
Work-in-Process Inventory: Preparation Department
129,500
*$129,500 = $39,500 + $45,000 + $45,000
Exercise 4-25 (Continued)
Work-in-Process Inventory: Finishing Department
36,000*
Applied Conversion Costs
36,000
*$36,000 = 6,000 units$6.00 per unit
Work-in-Process Inventory: Packaging Department
66,500*
Finished-Goods Inventory
99,000
Work-in-Process Inventory: Finishing Department
165,500
*$66,500 = $39,500 + (2,000$7.50) + (2,000$6.00).
These are the costs accumulated for batch P25 only.
$99,000 = $45,000 + (4,000$7.50) + (4,000$6.00).
These are the costs accumulated for batch S33 only.
Work-in-Process Inventory: Packaging Department
3,500
Raw-Material Inventory
2,500*
Applied Conversion Costs
1,000
*Cost of packaging material for batch P25.
$1,000 = 2,000 units$.50 per unit
Finished-Goods Inventory
70,000*
Work-in-Process Inventory: Packaging Department
70,000
*$70,000 = $66,500 + $3,500
Exercise 4-26 (10 minutes)
1.Work-in-Process Inventory: Pouring Department
1,090,000
Raw-Material Inventory
70,000
Wages Payable
340,000
Manufacturing Overhead
680,000
2.Work-in-Process Inventory: Finishing Department
900,000
Work-in-Process Inventory: Pouring Department
900,000
3.Work-in-Process Inventory: Finishing Department
725,000
Raw-Material Inventory
25,000
Wages Payable
280,000
Manufacturing Overhead
420,000
4.Finished-Goods Inventory
400,000
Work-in-Process Inventory: Finishing Department
400,000
solutions to Problems
Problem 4-27 (50 minutes)
1.Physical flow of units:
Physical Units
Work in process, 1/1/x1
200,000
Units started during 20x1
1,000,000
Total units to account for
1,200,000
Units completed and transferred out during 20x1
900,000
Work in process, 12/31/x1
300,000
Total units accounted for
1,200,000
2.Equivalent units:
Physical UnitsPercentage of Completion with Respect to ConversionEquivalent Units
Direct Material
Conversion
Work in process, 1/1/x1
200,00080%
Units started during 20x1
1,000,000
Total units to account for
1,200,000
Units completed and transferred
out during 20x1
900,000
100%
900,000
900,000
Work in process, 12/31/x1
300,00050%300,000150,000
Total units accounted for
1,200,000
________________
Total equivalent units
1,200,0001,050,000
Problem 4-27 (Continued)
3.Costs per equivalent unit:
Direct MaterialConversionTotal
Work in process, 1/1/x1
$ 200,000$504,000a$ 704,000
Costs incurred during 20x1
1,300,0003,192,000b4,492,000
Total costs to account for
$1,500,000$3,696,000$5,196,000
Equivalent units
1,200,0001,050,000
Costs per equivalent unit
$1.25c$3.52d$4.77e
aConversion cost=direct labor + overhead
=direct labor + (60%direct labor)
=160%direct labor
=160%$315,000
=$504,000
bConversion cost=160%direct labor
=160%$1,995,000
=$3,192,000
c$1.25 = $1,500,000 1,200,000
d$3.52 = $3,696,000 1,050,000
e$4.77 = $1.25 + $3.52
Problem 4-27 (Continued)
4.Cost of ending inventories:
Cost of goods completed and transferred out:
900,000$4.77$4,293,000
Cost remaining in 12/31/x1 work-in-process inventory:
Direct material:
300,000$1.25
$375,000
Conversion:
150,000$3.52
528,000
Total cost of 12/31/x1 work in process
$903,000
Check: Cost of goods completed and transferred out
$4,293,000
Cost of 12/31/x1 work-in-process inventory
903,000
Total costs accounted for
$5,196,000
The cost of the ending work-in-process inventory is $903,000
Ending finished-goods inventory: Of the 900,000 units completed during 20x1, 200,000 units remain in finished-goods inventory on December 31, 20x1. Therefore:
$4,293,000(200,000 900,000) = $954,000*
The cost of the ending finished-goods inventory is $954,000.
*Also, $954,000 = 200,000$4.77 per unit
Problem 4-28 (45 minutes)
1.
PhysicalUnits
Work in process, June 1
50,000
Units started during June
200,000
Total units to account for
250,000
Units completed and transferred out during June
190,000
Work in process, June 30
60,000
Total units accounted for
250,000
2.
Physical UnitsPercentage of Completion with Respect to ConversionEquivalent Units
Direct Material
Conversion
Work in process, June 1
50,00040%
Units started during June
200,000
Total units to account for
250,000
Units completed and transferred
out during June
190,000
100%
190,000
190,000
Work in process, June 30
60,00060%60,00036,000
Total units accounted for
250,000
Total equivalent units
250,000226,000
3.
Direct MaterialConversionTotal
Work in process, June 1
$120,000$34,400$154,400
Costs incurred during June
492,500349,800842,300
Total costs to account for
$612,500$384,200$996,700
Equivalent units
250,000226,000
Costs per equivalent unit
$2.45$1.70$4.15
Problem 4-28 (Continued)
4.Cost of goods completed and transferred out during June:
190,000$4.15$788,500
Cost remaining in June 30 work-in-process inventory:
Direct material:
60,000$2.45$147,000
Conversion:
36,000$1.70 61,200
Total cost of June 30 work in process
$208,200
Check: Cost of goods completed and transferred out
$788,500
Cost of June 30 work-in-process inventory
208,200
Total costs accounted for
$996,700
Problem 4-29 (50 minutes)
The missing amounts are shown below. A completed production report follows.
Units started during July
45,000
Units completed and transferred out during July
50,000
Total equivalent units: conversion
56,000
Work in process, July 1: conversion
$ 79,800
Costs incurred during July: direct material
371,850
Cost per equivalent unit: conversion
13.20
Cost of goods completed and transferred out during July
1,072,500
Cost remaining in ending work-in-process inventory: direct material
123,750
Production Report: vesuvius Tile Company
Weighted-Average Method
Physical UnitsPercentage of Completion with Respect to ConversionEquivalent Units
Direct MaterialConversion
Work in process, July 1
20,00030%
Units started during July
45,000
Total units to account for
65,000
Units completed and transferred
out during July
50,000
100%
50,000
50,000
Work in process, July 31
15,00040%15,0006,000
Total units accounted for
65,000
__________
Total equivalent units
65,00056,000
Problem 4-29 (Continued)
Direct MaterialConversionTotal
Work in process, July 1
$164,400$79,800$ 244,200
Costs incurred during July
371,850659,4001,031,250
Total costs to account for
$536,250$739,200$1,275,450
Equivalent units
65,00056,000
Costs per equivalent unit
$8.25*$13.20$21.45**
*$8.25 = $536,250 65,000
$13.20 = $739,200 56,000
**$21.45 = $8.25 + $13.20
Cost of goods completed and transferred out during July:
50,000$21.45
$1,072,500
Cost remaining in July 31 work-in-process inventory:
Direct material:
15,000$8.25
$123,750
Conversion:
6,000$13.20
79,200
Total cost of July 31 work in process
$202,950
Check:Cost of goods completed and transferred out
$1,072,500
Cost of July 31 work-in-process inventory
202,950
Total costs accounted for
$1,275,450
Problem 4-30 (40 minutes)
1.a.
Physical UnitsPercentage of Completion with Respect to ConversionEquivalent Units
Direct MaterialConversion
Work in process, May 1
25,00040%
Units started during May
30,000
Total units to account for
55,000
Units completed and
transferred out during May
35,000
100%
35,000
35,000
Work in process, May 31
20,00080%20,00016,000
Total units accounted for
55,000
__________
Total equivalent units
55,00051,000
b.
Direct MaterialConversionTotal
Costs per equivalent unit$5.60$48.70$54.30*
*$54.30 = $5.60 + $48.70
Problem 4-30 (Continued)
c.Cost of goods completed and transferred out during May:
35,000 ( $54.30$1,900,500
Cost remaining in May 31 work-in-process inventory:
Direct material:
20,000 ( $5.60$112,000
Conversion:
16,000 ( $48.70779,200
Total cost of May 31 work in process
$891,200
Check:Cost of goods completed and transferred out
$1,900,500
Cost of May 31 work-in-process inventroy
891,200
Total costs accounted for
$2,791,700
2.Journal entry:
Finished-Goods Inventory1,900,5001,900,500
Work-in-Process Inventory
1,900,500
Problem 4-31 (45 minutes)
1.
PhysicalUnits
Work in process, April 1
10,000
Units started during April
100,000
Total units to account for
110,000
Units completed and transferred out during April
80,000
Work in process, April 30
30,000
Total units accounted for
110,000
2.
PhysicalUnitsPercentage of Completion with Respect to ConversionEquivalent Units
Direct MaterialConversion
Work in process, April 1
10,00020%
Units started during April
100,000
Total units to account for
110,000
Units completed and
transferred out during April
80,000
100%
80,000
80,000
Work in process, April 30
30,00033 1/3%30,00010,000
Total units accounted for
110,000
______ _____
Total equivalent units
110,00090,000
3.
Direct MaterialConversionTotal
Work in process, April 1
$22,000$4,500$26,500
Costs incurred during April
198,000158,400356,400
Total costs to account for
$220,000$162,900$382,900
Equivalent units
110,00090,000
Costs per equivalent unit
$2.00$1.81$3.81
Problem 4-31 (Continued)
4.Cost of goods completed and transferred out during April:
80,000$3.81
$304,800
Cost remaining in April 30 work-in-process inventory:
Direct material:
30,000$2.00
$60,000
Conversion:
10,000$1.81
18,100
Total cost of April 30 work-in-process
$78,100
Check:Cost of goods completed and transferred out
$304,800
Cost of April 30 work-in-process inventory
78,100
Total costs accounted for
$382,900
Problem 4-32 (40 minutes)
1.
Physical UnitsPercentage of Completion with Respect to ConversionEquivalent Units
Direct MaterialConversion
Work in process, August 1
40,00080%
Units started during August
80,000
Total units to account for
120,000
Units completed and transferred
out during August
100,000
100%
100,000
100,000
Work in process, August 31
20,00030%20,0006,000
Total units accounted for
120,000
____________
Total equivalent units
120,000106,000
2.
Direct MaterialConversionTotal
Costs per equivalent unit$1.15$10.28$11.43*
*$11.43 = $1.15 + $10.28
3.Cost of goods completed and transferred out during August:
100,000$11.43
$1,143,000
Problem 4-32 (Continued)
4.Cost remaining in August 31 work-in-process inventory:
Direct material:
20,000$1.15
$23,000
Conversion:
6,000$10.28
61,680
Total cost of August 31 work in process
$84,680
Check:Cost of goods completed and transferred out
$1,143,000
Cost of August 31 work-in-process inventory
84,680
Total costs accounted for:
$1,227,680
5.Journal entry:
Finished-Goods Inventory
1,143,000
Work-in-Process Inventory
1,143,000
PROBLEM 4-33 (35 MINUTES)
1.Direct material cost was $1,404,000:
XY634..$ 267,000
AA788. 689,000
GU321. 448,000
Total.$1,404,000
Goodsons total direct-labor payroll amounted to $126,500 for 6,325 hours of work ($126,500 $20 per hour). Thus, conversion cost was $506,000:
Direct labor...$126,500
Overhead applied (6,325 hours x $60).. 379,500
Total..$506,000
2.Goods completed during April cost $1,872,000 (24,000 units x $78) as the following calculations show:
Physical
UnitsPercentage
Of
Completion
With
Respect to ConversionEquivalent Units
Direct
Material Conversion
Work in process, April 1. 4,00075%
Units started during April..25,000
Total units to account for..29,000
Units completed and transferred
out during April..24,000100%24,00024,000
Work in process, April 30.. 5,000 40% 5,000 2,000
Total units accounted for...29,000
Total equivalent units..
29,00026,000
PROBLEM 4-33 (CONTINUED)
Direct
MaterialConversionTotal
Work in process, April 1$ 220,000$ 66,000$ 286,000
Costs incurred during April. 1,404,000 506,000 1,910,000
Total costs to account for.$1,624,000$572,000$2,196,000
Equivalent units...29,00026,000
Cost per equivalent unit$56a$22b$78c
a$1,624,000 29,000 = $56
b$572,000 26,000 = $22
c$56 + $22 = $78
3.The cost of the ending work-in-process inventory is $324,000:
Direct material (5,000 x $56)..$280,000
Conversion cost (2,000 x $22).. 44,000
Total.$324,000
4.(a)No material would be added during May. All material is introduced at the start of Goodsons manufacturing process, and these units were begun in April.
(b)Since the work-in-process inventory is 40% complete at the end of April, 60% of the conversion would be done in May.
5.Given that the ending work-in-process inventory is at the 40% stage of completion, these units would not have reached the 70% point in April where HH887 is added. Therefore, there would be zero equivalent units with respect to part HH887 in the ending work-in-process inventory.
PROBLEM 4-34 (30 MINUTES)
1.The ending work-in-process inventory consisted of 500 units (300 + 900 700).
2.The cost of goods completed during June totaled $57,400 (700 units x $82):
Physical
UnitsPercentage
Of
Completion
With
Respect to ConversionEquivalent Units
Direct
Material Conversion
Work in process, June 1. 300 30%
Units started during June.. 900
Total units to account for...1,200
Units completed and transferred
during June.. 700100% 700 700
Work in process, June 30... 500 60% 500 300
Total units accounted for1,200
Total equivalent units..
1,2001,000
Direct
MaterialConversionTotal
Work in process, June 1$15,000$ 6,300$21,300
Costs incurred during June. 45,000 25,700 70,700
Total costs to account for.$60,000$32,000$92,000
Equivalent units...1,2001,000
Cost per equivalent unit.$50a$32b$82c
a$60,000 1,200 = $50
b$32,000 1,000 = $32
c$50 + $32 = $82
Finished-Goods Inventory
57,400
Work-in-Process Inventory.
57,400
3.The cost of the June 30 work-in-process inventory is $34,600:
Direct materials (500 x $50)...$25,000
Conversion cost (300 x $32).. 9,600
Total$34,600
PROBLEM 4-34 (CONTINUED)
4.Equivalent units measure the amount of manufacturing activity (i.e., for direct material or conversion) that has been applied to a batch of physical units. If, for example, a company has 600 physical units in process that are 40% complete as to conversion, the firm has done the equivalent amount of conversion activity as would be required to do all of the conversion work for 240 units (600 x 40%).
Equivalent units are needed to state manufacturing activity on a common measurement scale. One cannot add completed units to units in process. Such a combination is like adding apples and oranges, as some units are complete and some are incomplete. Instead, these units are first converted to equivalent units, and the latter are then used in unit-cost calculations.
Problem 4-35 (50 minutes)
The missing amounts are shown below. A completed production report follows.
Work in process, May 1 (in units)
15,000
Units completed and transferred out during May
65,000
Total equivalent units: conversion
71,000
Work in process, May 1: conversion
$37,500
Costs incurred during May: direct material
570,000
Cost per equivalent unit: conversion
12.25
Cost of goods completed and transferred out during May
1,407,250
Cost remaining in ending work-in-process inventory: direct material
94,000
Production Report: hercules Tire and Rubber Company
Weighted-Average Method
Percentage
of
Completion
withEquivalent Units
PhysicalRespect toDirect
UnitsConversionMaterialConversion
Work in process, May 1
15,00020%
Units started during May
60,000
Total units to account for
75,000
Units completed and transferred
out during May
65,000100%65,00065,000
Work in process, May 31
10,00060%10,0006,000
Total units accounted for
75,000
__________
Total equivalent units
75,00071,000
Problem 4-35 (Continued)
Direct
MaterialConversionTotal
Work in process, May 1
$135,000$37,500$172,500
Costs incurred during May
570,000832,2501,402,250
Total costs to account for
$705,000$869,750$1,574,750
Equivalent units
75,00071,000
Costs per equivalent unit
$9.40*$12.25$21.65**
*$9.40 = $705,000 75,000
$12.25 = $869,750 71,000
**$21.65 = $9.40 + $12.25
Problem 4-35 (Continued)
Cost of goods completed and transferred out during May:
65,000$21.65$1,407,250
Cost remaining in May 31 work-in-process inventory:
Direct material:
10,000$9.40$94,000
Conversion:
6,000$12.2573,500
Total cost of May 31 work-in-process
$167,500
Check: Cost of goods completed and transferred out
$1,407,250
Cost of May 31 work-in-process inventory
167,500
Total costs accounted for
$1,574,750
Problem 4-36 (30 minutes)
1.a.
Percentage
of
Completion
with Respect
Taxto
ReturnsConversion
(physical(labor andEquivalent Units
units)overhead)LaborOverhead
Returns in process, February 1
20025%
Returns started in February
825
Total returns to account for
1,025
Returns completed
during February
900100% 900900
Returns in process, February 28
12580% 100100
Total returns accounted for
1,025
________
Total equivalent units of activity
1,0001,000
b.
LaborOverheadTotal
Returns in process, February 1
6,0002,5008,500
Costs incurred during February
89,00045,000134,000
Total costs to account for
95,00047,500142,500
Equivalent units
1,0001,000
Costs per equivalent unit
95.0047.50142.50
2.Cost of returns in process on February 28:
Labor: equivalent unitscost per equivalent unit
10095.00
9,500
Overhead:equivalent unitscost per equivalent unit
10047.50
4,750
Total cost of returns in process on February 28
14,250
Problem 4-37 (45 minutes)
1.Production Report: Mixing Department
(Weighted-Average Method)
Percentage
of
Completion
withEquivalent Units
PhysicalRespect toDirect
UnitsConversionMaterialConversion
Work in process, November 1
4,000 75%
Units started during November
16,000
Total units to account for
20,000
Units completed and transferred
out during November
15,000 100%15,00015,000
Work in process, November 305,000 20%5,0001,000
Total units accounted for
20,000
____ __ ____
Total equivalent units
20,00016,000
Direct
MaterialConversionTotal
Work in process, November 1
$22,800$ 46,510$69,310
Costs incurred during November
81,600* 196,690278,290
Total costs to account for
$104,400$ 243,200$347,600
Equivalent units
20,00016,000
Costs per equivalent unit
$5.22$15.20$20.42
*$81,600 = $10,000 + $51,000 + (4,000 10,000)($51,500)
$196,690 = $103,350 + (.40)($103,350) + $52,000
Problem 4-37 (Continued)
Cost of goods completed and transferred out during November:
15,000$20.42$306,300
Cost remaining in November 30 work-in-process inventory
Direct material:
5,000$5.22$26,100
Conversion
1,000$15.2015,200
Total cost of November 30 work in process
$41,300
Check: Cost of goods completed and transferred out
$306,300
Cost of November 30 work-in-process inventory
41,300
Total costs accounted for
$347,600
2.a.Work-in-Process Inventory: Mixing Department
81,600
Raw-Material Inventory
81,600
b.Work-in-Process Inventory: Mixing Department
103,350
Wages Payable
103,350
c.Work-in-Process Inventory: Mixing Department
93,340*
Manufacturing Overhead
93,340
*$93,340 = (.40)($103,350) + ($52,000)
d.Work-in-Process Inventory: Finishing Department
306,300
Work-in-Process Inventory: Mixing Department
306,300
Problem 4-38 (40 minutes)
1.The unit costs and total costs for each of the products manufactured by Plasto Corporation during the month of May are calculated as follows:
ExtrusionFormTrimFinish
Units produced
16,00011,0005,0002,000
Material costs
$192,000$ 44,000$15,000$12,000
Unit material cost
12.004.003.006.00
Conversion costs*
392,000132,00069,00042,000
Unit conversion cost
24.5012.0013.8021.00
*Direct labor and manufacturing overhead.
Problem 4-38 (Continued)
Unit CostsPlastic SheetsStandard ModelDeluxe ModelExecutive Model
Material costs:
Extrusion
$12.00$12.00$12.00$12.00
Form
4.004.004.00
Trim
3.003.00
Finish
6.00
Conversion costs:
Extrusion
24.5024.5024.5024.50
Form
12.0012.0012.00
Trim
13.8013.80
Finish
_ _ _ 21.00
Total unit cost
$36.50$52.50$69.30$96.30
Units produced
( 5,000( 6,000( 3,000( 2,000
Total product cost*
$182,500$315,000$207,900$192,600
*Total costs accounted for:
ProductTotal Product Costs
Plastic sheets$182,500
Standard model315,000
Deluxe model207,900
Executive model192,600
Total$898,000
2.Journal entries:
Work-in-Process Inventory: Extrusion
584,000
Raw-Material Inventory
192,000
Applied Conversion Costs
392,000
Finished-Goods Inventory
182,500
Work-in-Process Inventory: Extrusion
182,500
Work-in-Process Inventory: Forming
577,500
Work-in-Process Inventory: Extrusion
401,500
Raw-Material Inventory
44,000
Applied Conversion Costs
132,000
Problem 4-38 (Continued)
Finished-Goods Inventory
315,000
Work-in-Process Inventory: Forming
315,000
Work-in-Process Inventory: Trimming
346,500
Work-in-Process Inventory: Forming
262,500
Raw-Material Inventory
15,000
Applied Conversion Costs
69,000
Finished-Goods Inventory
207,900
Work-in-Process Inventory: Trimming
207,900
Work-in-Process Inventory: Finishing
192,600
Work-in-Process Inventory: Trimming
138,600
Raw-Material Inventory
12,000
Applied Conversion Costs
42,000
Finished-Goods Inventory
192,600
Work-in-Process Inventory: Finishing
192,600
Problem 4-39 (35 minutes)
1.Conversion cost per unit in department I:
t
*Note that all of the products sold after processing in departments I, II, or III were produced orginally in department I.
2.Conversion cost per unit in department II:
*Note that all of the products sold after processing in departments II and III were colored in department II.
3.Cost of a clear glass sheet:
=direct material per
unit in department I+conversion cost per
unit in department I
Problem 4-39 (Continued)
4.Cost of an unetched, colored glass sheet:
=cost per clearglass sheet+direct materialper unit in department II+conversion cost perunit in department II
5.Cost of an etched, colored glass sheet:
=cost per unetchedcolored glass sheet+conversion cost per
unit in department III
Problem 4-40 (45 minutes)
1.Conversion costs:
RollingMoldingPunchingDipping
Direct labor
$300,000$112,000$128,000$ 45,000
Manufacturing overhead
450,000168,000192,000 67,500
Total conversion cost
$750,000$280,000$320,000$112,500
Total units produced:
Rolling only
20,000
Rolling, molding, punching
8,0008,000
Rolling, molding, punching,
dipping
3,000
Conversion cost per unit
$37.50$35.00$40.00$37.50
Problem 4-40 (Continued)
2.Product costs:
Ceralam
Sheets SoldNonreflectiveReflective
afterCeralamCeralamTotal
RollingHousingsHousingsCosts
Direct material:
Ceralam sheets
$480,000$200,000$120,000$ 800,000
Chemical dip
30,00030,000
Conversion costs:
Rolling
450,000a187,500a112,500a750,000
Molding
175,000b105,000b280,000
Punching
200,000c120,000c320,000
Dipping
_______________112,500d 112,500
Total cost
$930,000$762,500$600,000$2,292,500
Units manufactured
12,0005,0003,000
Unit cost
$77.50$152.50$200.00
aNumber of unitsrolling cost per unit ($37.50)
bNumber of unitsmolding cost per unit ($35.00)
cNumber of unitspunching cost per unit ($40.00)
dNumber of unitsdipping cost per unit ($37.50)
3.Journal entries:
Work-in-Process Inventory: Rolling
1,550,000
Raw-Material Inventory
800,000*
Applied Conversion Costs
750,000
*$800,000=direct-material cost for ceralam sheets
$750,000=conversion cost in rolling operation
problem 4-40 (continued)
Finished-Goods Inventory
930,000*
Work-in-Process Inventory: Rolling
930,000
*$930,000=12,000 ceralam sheets sold after
rolling$77.50 per unit
Cost of Goods Sold
930,000*
Finished-Goods Inventory
930,000
*$930,000=cost of ceralam sheets sold after
rolling
Work-in-Process Inventory: Molding
620,000*
Work-in-Process Inventory: Rolling
620,000
*$620,000=cost remaining in Work-in-ProcessInventory: Rolling
= $1,550,000 $930,000
Work-in-Process Inventory: Molding
280,000*
Applied Conversion Costs
280,000
*$280,000 = conversion cost in molding operation
Work-in-Process Inventory: Punching
900,000*
Work-in-Process Inventory: Molding
900,000
*$900,000=cost remaining in Work-in-ProcessInventory: Molding
=$620,000 + $280,000
Work-in-Process Inventory: Punching
320,000*
Applied Conversion Costs
320,000
*$320,000=conversion cost in punching operation
problem 4-40 (continued)
Finished-Goods Inventory
762,500*
Work-in-Process Inventory: Punching
762,500
*$762,500=5,000 nonreflective ceralam housingssold after punching$152.50 per unit
Cost of Goods Sold
762,500*
Finished-Goods Inventory
762,500
*$762,500=cost of nonreflective ceralamhousings sold after punching
Work-in-Process Inventory: Dipping
457,500*
Work-in-Process Inventory: Punching
457,500
*$457,500=cost remaining in Work-in-ProcessInventory: Punching
=$900,000 + $320,000 $762,500
Work-in-Process Inventory: Dipping
142,500
Raw-Material Inventory
30,000*
Applied Conversion Costs
112,500
*$30,000=direct-material cost for chemical dip
$112,500=conversion cost in dipping operation
Finished-Goods Inventory
600,000*
Work-in-Process Inventory: Dipping
600,000
*$600,000=3,000 reflective ceralam housingssold after dipping$200.00 per unit
Cost of Goods Sold
600,000
Finished-Goods Inventory
600,000
Problem 4-41 (30 minutes)
1.a.Cost of units completed and transferred to finished-goods inventory during May:
Units completed and transferred out
11,900
Total cost per equivalent unit
( _ $9.00
Cost of units completed and transferred out
$107,100
b.To compute the cost of the Finishing Department's work-in-process inventory on May 31, first determine the number of units in ending work-in-process inventory, as follows:
Work-in-process inventory, May 1 (in units)
1,400
Add: Units transferred in
14,000
Units to account for
15,400
Less: Units transferred to finished goods
11,900
Work-in-process inventory, May 31 (in units)
3,500
Then compute the transferred-in, direct-material, and conversion costs in the May 31 work-in-process inventory:
InputEquivalent Units
Cost per Equivalent UnitCost
Transferred-in
3,500($5.00=$17,500
Direct material
3,500($1.00=3,500
Conversion
3,50040%($3.00=4,200
Total cost of May 31 work-in-process inventory
$25,200
2.Equivalent units of transferred-in costs
15,400
Transferred-in cost per equivalent unit
( $5.00
Total transferred-in cost
$77,000
Deduct: Transferred-in cost in May 1 work-in-process inventory
6,750
Total cost transferred in from the Assembly Department
$70,250
Journal entry to record transfer:
Work-in-Process Inventory: Finishing Department
70,250
Work-in-Process Inventory: Assembly Department
70,250
solutions to cases
Case 4-42 (45 minutes)
1.Equivalent units of material
8,000
Equivalent units of conversion
7,500
2.Cost per equivalent unit of material
$3.30
Cost per equivalent unit of conversion
$2.80
3.October 31 work-in-process inventory
$4,700
Cost of goods completed and transferred out
$42,700
4.Weighted-average unit cost of completed leather belts
$6.10
These answers are supported by the following process-costing schedules. The firm's cost per belt used for planning and control, $5.35, is substantially lower than the actual cost per belt incurred in October, $6.10. Management should investigate this situation to determine whether production costs can be reduced. If not, then the cost used for planning and control purposes should be changed to reflect the firm's actual experience.
CALCULATION OF EQUIVALENT UNITS: LAREDO LEATHER CO. - DALLAS PLANT
Weighted-Average Method
Physical UnitsPercentage of Completion with Respect to ConversionEquivalent Units
Direct MaterialConversion
Work in process, October 1
40025%
Units started during October
7,600
Total units to account for
8,000
Units completed and transferred out during October
7,000100%
7,000
7,000
Work in process, October 31
1,00050%1,000 500
Total units accounted for
8,000
Total equivalent units
8,0007,500
Case 4-42 (Continued)
CALCULATION OF COSTS PER EQUIVALENT UNIT: DALLAS PLANT
Weighted-Average Method
Direct MaterialConversionTotal
Work in process, October 1
$1,250$ 300$1,550
Costs incurred during October
25,15020,70045,850
Total costs to account for
$26,400$21,000$47,400
Equivalent units
8,0007,500
Costs per equivalent unit
$3.30$2.80$6.10
Analysis of Total Costs: dallas Plant
Weighted-Average Method
Cost of goods completed and transferred out during October:
7,000$6.10
$42,700
Cost remaining in October 31 work-in-process inventory:
Direct material:
1,000$3.30
$3,300
Conversion:
500$2.80
1,400
Total cost of October 31 work in process
$4,700
Case 4-42 (Continued)
Check:Cost of goods completed and transferred out
$42,700
Cost of October 31 work-in-process inventory
4,700
Total costs accounted for
$47,400
5.If the units were 60 percent complete as of October 31, there would be 7,600 equivalent units with respect to conversion. (To see this, just change the 500 in the right-hand column of the table in the solution to requirement (4) to 600. This changes the last number in the right-hand column from 7,500 to 7,600.)
Now the unit cost of conversion drops from $2.80, as currently computed, to $2.76 (rounded, $21,000 7,600). Thus, the unit cost drops from $6.10 to $6.06 (rounded).
As controller, Jeff Daley has an ethical obligation to refuse his friend's request to alter the estimate of the percentage of completion. What Daley can do is to help Murray think of some legitimate ways to bring about real cost reductions. Several ethical standards for management accountants (listed in Chapter 1) apply in this situation. Among the relevant standards are the following:
Competence:
Prepare complete and clear reports and recommendations after appropriate analyses of relevant and reliable information.
Objectivity:
Communicate information fairly and objectively.
Disclose fully all relevant information that could reasonably be expected to influence an intended user's understanding of the reports, comments, and recommendations presented.
Case 4-43 (60 minutes)
PRODUCTION REPORT: HOME GARDEN COMPANY - GRADING DEPARTMENT
Weighted-Average Method
Physical UnitsPercentage of Completion with Respect to ConversionEquivalent Units
Direct MaterialConversion
Work in process, November 1
-0-
Units started during November
36,000
Total units to account for
36,000
Units completed and transferred out during November
36,000100%36,00036,000
Work in process, November 30
-0--0--0-
Total units accounted for
36,000
__________
Total equivalent units
36,00036,000
Direct MaterialConversionTotal
Work in process, November 1
-0--0--0-
Costs incurred during November
$265,680$86,400$352,080
Total costs to account for
$265,680$86,400$352,080
Equivalent units
36,00036,000
Costs per equivalent unit
$7.38$2.40$9.78
Cost of goods completed and transferred out of the Grading Department during November:
36,000$9.78
$352,080
Cost remaining in November 30 work-in-process inventory in the
Grading Department
-0-
Check:Cost of goods completed and transferred out
$352,080
Cost of November 30 work-in-process inventory
-0-
Total costs accounted for
$352,080
Case 4-43 (Continued)
PRODUCTION REPORT: HOME GARDEN COMPANY - SATURATING DEPARTMENT
Weighted-Average Method
Physical UnitsPercentage of Completion with Respect to ConversionEquivalent Units
TransferredinConversion
Work in process, November 1
1,60050%
Units transferred in during November
36,000
Total units to account for
37,600
Units completed and transferred
out during November
35,600100%35,60035,600
Work in process, November 30
2,00050%2,0001,000
Total units accounted for
37,600
__________
Total equivalent units
37,60036,600
Transferred InConversionTotal
Work in process, November 1
$13,850$3,750$17,600
Costs incurred during November
352,080*85,920438,000
Total costs to account for
$365,930$89,670$455,600
Equivalent units
37,60036,600
Costs per equivalent unit
$9.7322$2.45$12.1822
*Cost of goods completed and transferred out of Grading Department during November, under the weighted-average method.
Case 4-43 (Continued)
Cost of goods completed and transferred out of the Saturating Department during November:
35,600$12.1822
$433,686
Cost remaining in November 30 work-in-process inventory in the Saturating Department:
Transferred-in costs:
2,000$9.7322
$19,464
Direct material:
None
Conversion:
1,000$2.45
2,450
Total cost of November 30 work in process
$21,914
Check:Cost of goods completed and transferred out
$433,686
Cost of November 30 work-in-process inventory
21,914
Total costs accounted for
$455,600
Rounded
current issues in Managerial accountingISSUE 4-44
"bottled up: profits aren't flowing like they used to at packaged-goods companies. green ketchup and tunA in a pouch save heinz?, " fortune, september 18, 2000, julie creswell.
1. Heinz is a food processor and manufactures large quantities of relatively homogeneous products. Thus, process costing would be an appropriate product costing system for Heintz.
2. Heinz has recently begun to compete for more noticeable and attractive shelve space, and, after years of neglect, the company has begun to market and package to reflect the growing demographic changes in America. By bringing on the StarKist Tuna in a Pouch it has recognized that eating habits have changed in America. The green ketchup in an EZ Squirt bottle is an attempt to gain a young audience because eating habits begin early. Fruit and Vegetable Wash is a new product offering.
Issue 4-45
international paper shutting plants to cut supply, The wall street journal, october 19, 2000, allanna sullivan.
1. International paper would use process costing since they produce large quantities of relatively homogeneous products.
2. Paper supply costs and total production costs should be reduced. The fixed costs of the closed plants would be eliminated while the fixed costs of the remaining plants would remain stable. Production of the remaining plants would increase. Issue 4-46
u.s. is unlikely to release more oil soon, The wall street journal, october 19, 2000, john j. Flaka. Also see no surge in crude delieveries expected, The wall street journal, october 16, 2000, bhushan bahree.
1. The government's release of 30 million gallons of crude oil is only about one day's supply of oil for the United States, so I would have a negligible effect on the oil companies.
2. Oil companies would use process costing since they produce large quantities of relatively homogeneous products.
Issue 4-47
georgia-pacific profit declines by 43 percent: sluggish building products sector cited, The wall street journal, october 19, 2000, betsy mckay.
1. Georgia-Pacific would use process costing since the company produces large quantities of relatively homogeneous products.
2. Lower prices for building materials would not directly affect the companys product costs, but lower prices would pressure management to attempt to reduce product costs in order to remain price competitive in a weakening market.
McGraw-Hill/Irwin
( 2002 The McGraw-Hill Companies, Inc.
4-20 Solutions Manual McGraw-Hill/Irwin
( 2002 The McGraw-Hill Companies, Inc.
Managerial Accounting, 5/e 4-1
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