8
DISCUSSION CHAPTER QUESTIONS
Q8-1. Joint products represent two or more products separated in the course of the same processing operation, with each product having
such relative value that no one product can be
designated as a major product.
A by-product is relatively minor in terms of
total value and is derived incidentally from the
production or manufacture of one or more
major products.
Q8-2. Revenue from the sale of by-products may be
listed as other income, additional sales revenue, a deduction from the cost of goods sold
of the main product, or as a deduction from
the cost of production of the main product.
Q8-3. Yes, when by-product revenue is deducted
from the total production cost of the main
product, the unit cost of the main product is
reduced; consequently, the cost of the ending
inventory changes also.
Q8-4. The replacement cost method can be used in
such cases. In this method, the by-products
that go into making other units are valued at
the cost the company would have to pay if it
were to go out on the market and purchase
such materials.
Q8-5. (a) The treatment described for by-products
may be justified when, relative to main
value products, the revenue generated by
the by-product is insignificant; when no
clearly defined basis of identifying byproduct costs exist; or when the cost of
more refined accounting would be disproportionate to the benefits received.
(b) The treatment described has several
shortcomings. All gross profit is ascribed
to major products and is incorrect as a
measure of total gross profit, since the
inventories of by-products that may be
unsold at the end of the period will have a
zero value. Failure to assign values to byproducts may well mean they are not recognized as inventories at all. This, in turn,
could lead to their waste, theft, or other
mishandling. If by-products are sold irregularly and inventories are allowed to
Q8-6.
Q8-7.
Q8-8.
Q8-9.
8-1
accumulate, both a material understatement of inventories and a distortion of
reported net income of successive periods may result.
Yes, some of the initial manufacturing costs,
additional manufacturing costs (when byproducts are further processed after separation), and perhaps even marketing and
administrative expenses may be charged to
the by-products.
Methods for allocating the total joint production cost to joint products are:
(a) Allocate the joint cost on the basis of the
relative market value of the joint products.
(b) Allocate the joint cost by using an average unit cost obtained by dividing the
total joint manufacturing cost by the total
number of units produced.
(c) Allocate the joint cost on the basis of
weight factors such as size, difficulty of
manufacture, or amount of materials used.
(d) Allocate the joint cost on the basis of
some unit of measurement such as
pounds, tons, or gallons. If the joint products are not measured in the same way,
they must be converted to a denominator
that is common to all the units produced.
The market value method considers the revenue-producing ability of the joint products by
assuming that each should be valued according to its cost absorption ability. Resulting
inventory costs are in harmony with revenue
producing ability and, if the combined joint
products are profitable, the market value
method avoids allocating more cost to a product than its revenue; thus achieving a neutral
effect. However, this method may be difficult
to apply if the market value at the split-off
point is not known.
The average unit cost method, while simple to apply when units are measured in like
terms, fails to consider the heterogeneous
nature of the individual products.
Joint costs must be allocated to joint products
when there is inventory to be costed.
8-2
Chapter 8
Q8-10. Not exactly. A new manufacturer would do
well to consult the Internal Revenue Service
about the methods to be used, so that an IRS
agent can make a decision before the tax
return is prepared. In other cases, where an
allocation method has been applied consistently from year to year, to apply for a ruling
would not be good strategy.
Q8-11. The method used in calculating unit costs produces the same unit cost for all grades of lumber sold. The owner is then led to believe that
the same costs in the same ratio are attributable to the low as well as the high grade lumber.
It must also be recognized that because of
the inherent nature of the materials and the
milling process, it is not possible to eliminate
low grade lumber. Thus, the profitability of the
operation can be viewed best by considering
the aggregate of revenue and costs of both
the high and low grades of lumber, coupled
with controls to assure that all practical steps
are taken to obtain high quality logs and to
mill them properly. A higher price for logs may
be justified in terms of a greater amount of
high grade lumber.
Q8-12. For decision making, joint costs are irrelevant
unless they are expected to change as a
result of the decision. Usually, only costs
beyond the split-off are relevant.
8-2
Chapter 8
8-3
EXERCISES
E8-1
(1)
Net revenue method:
Gross revenue from sale of by-product ..............
Production cost after separation........................
$20,000
6,000
Net revenue from sale of by-product..................
$14,000
(2)
Market value (reversal cost) method:
Final market value ...............................................
Less: Profit ($20,000 10%)...............................
Marketing and administrative expenses ...
Production cost after separation.............
Joint cost allocated to the by-product .......................
$20,000
$2,000
1,000
6,000
9,000
$11,000
E8-2
(1)
Calculation of manufacturing cost before separation for by-products.
By-Product
A
B
Sales ..............................................................................
$6,000
$3,500
Manufacturing cost after separation ..........................
Marketing and administrative expenses ....................
Profit allowance (A, 15%; B, 12%) ...............................
Manufacturing cost before separation .......................
$1,100
750
900
$2,750
$3,250
$ 900
550
420
$1,870
$1,630
8-4
Chapter 8
E8-2 (Concluded)
(2)
LOGAN COMPANY
Income Statement
For Month Ended April 30
Main
Product
Sales .............................................................. $75,000
Cost of goods sold:
Before separation (requirement (1)) .... $32,620
After separation..................................... 11,500
$44,120
Gross profit ................................................... $30,880
Less marketing and administrative
expenses .................................................
6,000
Profit from operations.................................. $24,880
By-Product
A
B
$6,000
$3,500
Total
$84,500
$3,250
1,100
$4,350
$1,650
$1,630
900
$2,530
$970
$37,500
13,500
$51,000
$33,500
750
$ 900
550
$ 420
7,300
$26,200
E8-3
W
X
Y
Z
Total
Product
............................................................
............................................................
............................................................
............................................................
............................................................
Market Value
at Split-Off
$ 80,000
60,000
40,000
20,000
$200,000
Apportionment of
Joint Production
Cost*
$ 60,000
45,000
30,000
15,000
$150,000
*$150, 000
= 75%
$200, 000
E8-4
Z:
Market value per unit .........................................
Gross profit, consisting of:
Operating profit .............................................
Marketing and administrative expenses .....
Further processing cost ...............................
Value per unit of by-product at split-off ......
Value of by-product to be credited to joint cost
(2,000 units $4) ...........................................
$ 9.00
$2.00
1.00
3.00
$ 6.00
2.00
$ 4.00
$8,000
Chapter 8
8-5
8-4 (Concluded)
X and Y:
Product
X
Y
Ultimate
Market
Value
per
Unit
$20
25
Units
Produced
8,000
10,000
* Ratio to allocate cost prior to separation
Ultimate
Market
Value
$160,000
250,000
$410,000
Processing
Cost
After
Split-Off
$ 40,000
70,000
$110,000
Hypothetical
Market
Value
$120,000
180,000
$300,000
Apportionment of
Joint
Production
Cost*
$ 80,000
120,000
$200,000**
$200, 000 2
=
$300, 000 3
**$208,000 cumulative joint cost less $8,000 value of credit for by-product.
E8-5
(1)
Ultimate
Market
Value
per
Units
Product
Unit
Produced
E
$4.30
30,000
S
6.60
15,000
C
6.00
13,000
Total.................................................................
Ultimate
Market
Value
$129,000
99,000
78,000
$306,000
Processing
Cost
After
Split-Off
$30,000
24,000
27,000
$81,000
Hypothetical
Market
Value
$ 99,000
75,000
51,000
$225,000
Apportionment of
Joint
Production
Cost
$ 66,000*
50,000
34,000
$150,000
* $150,000 $225,000 = 2/3; $99,000 2/3 = $66,000
(2)
Differential revenue (15,000 ($6.60 $5.50))..
Differential cost ...................................................
Net effect of separable processing....................
$16,500
24,000
$ (7,500)
Conclusion: Based on the information given, S should be sold at the splitoff point.
CGA-Canada (adapted). Reprint with permission.
Ultimate
Market
Value
$100,000
240,000
250.000
$590,000
Processing HypoCost
thetical
After
Market
Split-Off
Value*
$ 25,000
$ 75,000
60,000
180,000
105,000
145,000
$190,000
$400,000
**Percentage to allocate joint production cost: $288,000 $400,000 = 72%
*At the split-off point
Ultimate
Market
Value
Units
Product
per Unit
Produced
A
$100
1,000
B
80
3,000
C
50
5,000
Total ........................................................
E8-6 (1)
Apportionment of
Joint
Production
Cost**
$ 54,000
129,600
104,400
$288,000
Total
Production
Cost
$ 79,000
189,600
209,400
$478,000
Total
Production
Ending
Cost
Inventory
per Unit
Units
$79.00
200
63.20
500
41.88
700
Cost
Assigned
to Ending
Inventory
$15,800
31,600
29.316
$76,716
8-6
Chapter 8
Chapter 8
8-7
E8-6 (Concluded)
(2)
Product
B
$15
A
$40
Differential revenue per unit .............................
Differential cost per unit:
$25,000 1,000..........................................
$60,000 3,000..........................................
$105,000 5,000........................................
C
$25
25
20
$15
$ (5)
21
$4
Conclusion: Only product Bs differential cost exceeds its differential revenue.
Therefore, only product B should be sold at the split-off point.
(3)
Yes, because the short-run impact of further processing of B is then:
Differential revenue ......................................................
Differential cost: ($60,000 - $18,000) 3,000 .............
Benefit to further processing ......................................
B
$15
14
$1
(In the long-run decision to invest in the capacity [facilities] needed to further
process B, the fixed cost should, of course, be considered.)
(4)
No. From part (3), the benefit of further processing is $1 for each of the 3,000
units of B, or $3,000. But that must be compared with the benefit of the alternative use of facilities, $6,000 $1,000 = $5,000 of short-run benefit. So it is better
in the short run to sell B at split-off and devote the facilities (the ones that would
have been used to do Bs further processing) to their alternative use.
CGA-Canada (adapted). Reprint with permission.
E8-7 (1)
Average unit cost method:
Units
Product
Produced
A
3,000
B
4,000
C
3,000
Total.............................
Apportionment
of Joint
Production Cost
$ 30,000
40,000
30,000
$100,000
Processing
Cost After
Split-Off
$ 20,000
30,000
50,000
$100,000
Total
Production
Cost
$ 50,000
70,000
80,000
$200,000
8-8
Chapter 8
E8-7 (Concluded)
(2) Market value method:
Ultimate
Market
Product
Value
A
$ 60,000
B
110,000
C
180,000
Total....... $350,000
Processing
Cost
After
Split-Off
$ 20,000
30,000
50,000
$100,000
Hypothetical
Market
Value
$ 40,000
80,000
130,000
$250,000
Apportion
ment of
Joint
Total
Production Production
Cost
Cost
$ 16,000*
$ 36,000
32,000
62,000
52,000
102,000
$100,000
$200,000
* $100,000 $250,000 = .4; $40,000 .4 = $16,000
E8-8
(1) Average unit cost method:
Product
K
L
M
N
*
Units
Produced
5,000
20,000
15,000
10,000
50,000
Joint Cost
Per Unit
$1.40
1.40
1.40
1.40
Joint
Cost
$ 7,000
28,000
21,000
14,000
$70,000
Joint Cost
$70, 000
=
= $1.40 per unit
r
Total number of units produced
50, 000
(2) The weighted average method:
Product
K
L
M
N
*
Units
Produced
5,000
20,000
15,000
10,000
Points
3.0
2.0
4.0
2.5
=
Weighted
Units
15,000
40,000
60,000
25,000
140,000
Joint
Cost
Per
Weighted
Unit*
$.50
.50
.50
.50
Joint Cost
$70, 000
=
= $.50 per weighted unit
r
Total number of weighted units 140, 000
Joint
Cost
$ 7,500
20,000
30,000
12,500
$70,000
Chapter 8
8-9
E8-8 (Concluded)
(3) The market value method:
Ultimate
Market
Value
per
Product Unit
K
$5.50
L
1.60
M
1.50
N
3.00
*
Units
Produced
5,000
20,000
15,000
10,000
Ultimate
Market
Value
$ 27,500
32,000
22,500
30,000
$112,000
Processing
Cost
After
Split-Off
$ 1,500
3,000
2,500
5,000
$12,000
Hypothetical
Market
Value
$ 26,000
29,000
20,000
25,000
$100,000
Joint
Cost
Allocation
$18,200
20,300
14,000
17,500
$70,000
Joint Cost
$70, 000
=
= .70 = 70%
Hypothetical market value $100, 000
E8-9 Materials cost:
Product
X
Y
Unit
10,000
8,000
Points
3
2
Materials
Cost per
Total
Weighted
Weighted Materials Product
=
Units
Unit
= Cost
Units
30,000
$2
$60,000
10,000
16,000
2
32,000
8,000
46,000
$92,000
=
Materials
Cost per
Product
Unit
$6
4
Conversion cost:
Product
X
Y
Unit
10,000
8,000
Points
6
5
=
Weighted
Units
60,000
40,000
100,000
Conversion
Conversion
Cost per
Total
Cost per
Weighted
Conversion Product
Product
Unit
=
Cost
Units =
Unit
$1.50
$90,000
10,000
$9.00
1.50
60,000
8,000
7.50
$150,000
8-10
Chapter 8
PROBLEMS
P8-1
(1) Average unit cost method:
Product
B
C
Total ........
Units (kg)
Produced
10 000
10 000
20 000
Apportionment
of Joint
Production Cost
$265,000*
265,000
$530,000
Processing
Cost After
Split-Off
$ 580,000
720,000
$1,300,000
Total
Production
Cost
$ 845,000
985,000
$1,830,000
*Joint cost of $590,000 less $60,000 by-product credit ($15 4 000 kg) =
$530,000; $530,000 20 000 kg = $26.50 per unit; $26.50 10 000 kg = $265,000.
Product
B
C
Total Production
Cost per Unit
$84.50
98.50
Units in Finished
Goods Inventory
1 000 kg
500
Finished Goods
Inventory
$ 84,500
49,250
$133,750
(2) Market value method:
Ultimate
Market
Product
Value
B
$1,300,000
C
1,200,000
Total ..... $2,500,000
Processing
Cost
After
Split-Off
$ 580,000
720,000
$1,300,000
Hypothetical
Market
Value
$ 720,000
480,000
$1,200,000
Apportionment of
Joint
Total
Production Production
Cost
Cost
$318,000 $ 898,000
212,000
932,000
$530,000* $1,830,000
* Joint cost less by-product credit $530,000 $1,200,000 = .4417; .4417 $720,000
= $318,024 = approximately $318,000; .4417 $480,000 = $212,016 = approximately $212,000.
Product
B
C
Total Production
Cost per Unit
$89.80
93.20
Units Sold
9 000 kg
9 500
Cost of
Goods Sold
$ 808,200
885,400
$1,693,600
Chapter 8
8-11
P8-1 (Concluded)
(3)
Neither the market value method nor average unit cost method of allocating
joint cost is a more accurate way of determining joint product costs. Joint cost,
because of its nature, cannot be accurately split up among joint products, since
joint cost is incurred to produce one or all of the joint products. That is, joint
cost cannot be reduced by dropping one of the products. Thus, to make decisions about joint production, one must look at the revenue and separable cost
of each product to determine whether it is profitable on the margin. In such
decisions, joint cost is not relevant. The only purpose for allocating joint costs
is to determine a cost for inventories on the balance sheet and for cost of goods
sold on the income statement.
For financial statement purposes, in most situations, better arguments can
be made for a value-based allocation basis rather than a physically-based one.
At times, the physical base can result in absurd allocations of costs among
products because of the disproportionate relationship between the relative
value of the joint product and the units produced, relative to other joint products.
(2)
Ultimate
Market
Value
$300,000
150,000
190,000
$640,000
Separable
Processing
Cost
$ 75,000
25,000
40,000
$140,000
Hypothetical
Market
Value*
$225,000
125,000
150,000
$500,000
Apportionment of
Joint
Production
Cost1
$ 90,000
50,000
60,000
$200,000
The offer should not be accepted.
Revenue forgone (20,000 ($9.50 $7)) ........... $50,000
Cost saving (separable cost) ............................. $40,000
Loss if offer is accepted ..................................... $10,000
213,000
$500,000 = 40%
$20 = $260,000
3$165,000 15,000 = $11; $11 13,000 = $143,000
1$200,000
Ultimate
Market
Value
Units
Product per Unit
Produced
C
$20.00
15,000
L
15.00
10,000
T
9.50
20,000
Total ..........................................
(1)
P8-2
Total
Cost
$165,000
75,000
100,000
$340,000
May
Sales
$260,0002
135,000
95,000
$490,000
May
Cost of
Goods
Sold
$143,0003
67,500
50,000
$260,500
May
Gross
Profit
$117,000
67,500
45,000
$229,500
8-12
Chapter 8
Chapter 8
8-13
P8-3
(1)
Ultimate
Market
Value
per
Units
Product
Unit
Produced1
Alpha ........... $ 5
46,200
Gamma.......... 12
40,000
Total .............................................
1Diagram
Market
Value
$231,000
15,6602
480,000
$726,660
{
Processing
Cost
After
Split-Off
$ 38,000
23,660
165,000
$226,660
{
of Flow of Pounds (not required)
$38,000
(2) 66,000 pounds
(4)
Joint
Cost
Allocation3
$ 44,400
315,000
$500,000
75,600
$120,000
$23,660
Alpha
46,200 pounds
19,800 pounds Beta
$120,000
(1) 110,000 pounds
$165,000
(3) 44,000 pounds
4,000 pounds lost
40,000 pounds*
Hypothetical
Market
Value
$185,000
Gamma
*Computation of pounds of good output of Gamma:
Let X = good output
44,000 .1X = X
40,000
=X
2Market
value of Beta (19,800 pounds $1.20)......................
Less marketing expense of Beta .............................................
Net realizable value of Beta .....................................................
3The
joint cost is 24% of the hypothetical market value.
$23,760
8,100
$15,660
8-14
Chapter 8
P8-3 (Concluded)
(2)
SHAFFNER CORPORATION
Statement of Gross Profit for Alpha
Sales (38,400 pounds $5) ......................................................
Production costs:
Allocated joint cost ......................................................
Department 2.................................................................
Department 4.................................................................
Gross cost of production .........................................................
Less net realizable value of Beta ............................................
Net cost of production..............................................................
Less ending inventory ..............................................................
Cost of goods sold ...................................................................
Gross profit................................................................................
$192,000
$102,000
38,000
23,660
$163,660
15,900*
$147,760
29,552**
118,208
$ 73,792
* Net realizable value of Beta equals the revenue from Beta ($24,000) less its related
marketing expense ($8,100).
** Ending inventory equals the net cost of production ($147,760) times 20%.
P8-4
(1)
Sales ...................................................................
Cost of goods sold:
Joint cost ($236,000 Bynd net revenue
($11,000 $5,000 separable cost)).......
Separable cost ($215,000 $5,000 for
Bynd).......................................................
Total cost ......................................................
Gross profit (20% of sales) ...............................
Jana
$250,000
(2)
Ultimate sales value ..........................................
Less 20% gross profit .......................................
Total cost ...........................................................
Separable cost ...................................................
Joint cost allocation ..........................................
Total
$550,000
110,000
$440,000
210,000
$230,000
(3)
Reta
$300,000
Total
$550,000
$230,000
210,000
210,000
$440,000
$110,000
Jana
Reta
$250,000 $300,000
50,000
60,000
$200,000 $240,000
210,000
$200,000 $ 30,000
Gross profit for Jana and Retasee line 2 of requirement (2).
Chapter 8
8-15
P8-5
(1)
Ultimate
Market
Value
per
Product Unit
SPL-3
$4.00
PST-4
6.00
Units
Produced
700,000
350,000
Ultimate
Market
Value
$2,800,000
2,100,000
$4,900,000
Processing
Cost
After
Split-Off
$ 874,000
816,000
$1,690,000
Hypothetical
Market
Value
$1,926,000
1,284,000
$3,210,000
Apportionment of
Joint
Production
Cost*
$ 960,000 **
640,000
$1,600,000
* Joint production cost ................................................ $1,702,000
Less cost assigned to by-product
RJ-5 (170,000 gallons ($.70 $.10))...................
102,000
$1,600,000
**($1,926,000 $3,210,000) $1,600,000 =
$960,000
(2)
Joint cost allocation ...............................................
Additional processing cost ....................................
Total cost .................................................................
Divided gallons by produced .................................
Cost per gallon ....................................................
Inventory costing:
November 1 inventory (gallons) ......................
November production .......................................
November sales.................................................
November 30 inventory ....................................
Cost per gallon ..................................................
Cost assigned to November 30
finished goods inventory ...........................
SPL-3
$ 960,000
874,000
$1,834,000
700,000
$2.62
PST-4
$ 640,000
816,000
$1,456,000
350,000
$4.16
$102,000
170,000
$.60
18,000
700,000
718,000
650,000
68,000
$2.62
52,000
350,000
402,000
325,000
77,000
$4.16
3,000
170,000
173,000
150,000
23,000
$.60
$ 178,160
$ 320,320
$ 13,800
(3) Per gallon sales value beyond the split-off point............
Per gallon sales value at the split-off point ....................
Differential sales value .......................................................
Additional processing cost per gallon
($816,000 350,000 gallons) ........................................
Per gallon gain (loss) of further processing ....................
RJ-5
$102,000
$6.00
3.80
$2.20
2.33
$(.13)
Meritt Industries should sell PST-4 at the split-off point, as the differential revenue of the
sales beyond the split-off point is less than the additional cost of further processing.
4,000
$84,000
Less value assigned to the
by-product ..............................................................................................
Total cost to be accounted for .............................................................
Cost Accounted for as Follows
Transferred to next department or to
finished goods storeroom ...........................................................................
Work in processending inventory:
Cost from preceding department.................................................................
Adjusted cost from preceding
department ................................................................................................
Labor and factory overhead ............................................................................
Total cost accounted for ...........................................................................
$58,000
30,000
$88,000
Adjusted cost from preceding department
($74,500 (23,000 units 1,000 lost units))............................................
Cost added by department:
Work in processbeginning inventory:
Labor and factory overhead .....................................................................
Cost added during period:
Materials .....................................................................................................
Labor and factory overhead .....................................................................
Total cost added ........................................................................................
$84,000
$84,000
$2.8000
$1.8125
.9375
$2.7500
Process 1
Total
Unit
Cost
Cost
RECKLONVILLE COMPANY
Cost of Production ReportAverage Method
For February
Cost Charged to the Department
Cost from preceding department:
Work in processbeginning inventory.......................................................
Transferred in during this period.................................................................
Total ................................................................................................................
P8-6 (1)
$137,500
60,000
$ 63,000
$ 3,000
$ 11,500
63,000
$ 74,500
$6,773
3,000
2,000
10,308
$47,000
$36,692
$4.0769
$2.0000
$2.0000
$2.0000
2.1000
$2.0769
9,773
$137,500
$127,727
$6.3864
$3.0000
$3.0000
$3.3864
$3.8333
3.1500
$3.2391
Process 3
Total
Unit
Cost
Cost
$ 8,308
$47,000
18,000
$20,000
$ 2,000
$ 6,000
21,000
$27,000
Process 2
Total
Unit
Cost
Cost
Note to the instructors: The solution format for P8-6 is slightly altered from that used for process cost problem in Chapters 6 and 7. This is
done to accommodate the problems size.
8-16
Chapter 8
Chapter 8
8-17
P8-6 (Continued)
Additional Computations:
Equivalent production:
Transferred out ....................................................
Ending inventory (work this period) ......................
Unit costs:
Materials, Process 1 ................................................
Labor and Factory Overhead
Process 2
Process 3
9,000 units
20,000 units
1,000
1,000
10,000 units
21,000 units
$58, 000
32, 000
= $1.8125 per unit
Labor and factory overhead, Process 1 ................
$30, 000
32, 000
= $ .9375 per unit
Total cost to be accounted for, Process 1.............
$84, 000
30, 000
= $2.8000 per unit
Labor and factory overhead, Process 2 ................
$2, 000 + $18, 000
10, 000
= $2.0000 per unit
Labor and factory overhead, Process 3 ................
$3, 000 + $60, 000
21, 000
= $3.0000 per unit
Cost from preceding department, Process 2 ........
$27, 000
13, 000
= $2.0769 per unit
Cost from preceding department, Process 3 ........
$74, 500
23, 000
= $3.2391 per unit
Joint cost apportionment:
Sales price................................................................
Less processing cost subsequent to split-off point
Hypothetical market value at split-off point:
$8 10,000 units transferred .....................
Process 2
Product
$10
2
$8
$80,000
$12 20,000 units transferred ...................
Joint cost allocation:
$80,000 .2625*...........................................
$240,000 .2625 ..........................................
* $84,000 ($80,000 + $240,000) = .2625
Process 3
Product
$15
3
$12
$240,000
$21,000
$ 63,000
8-18
Chapter 8
P8-6 (Continued)
Unit cost:
$21,000 10,000 units..................................................
$2.10
$63,000 20,000 units..................................................
$3.15
Transferred to finished goods storeroom:
Process 2 ....................................................... $4.0769 9,000 units = $ 36,692
Process 3 ....................................................... $6.3864 20,000 units = $127,727*
*$6.3864 20,000 units = $127,728. To avoid a decimal discrepancy, the cost transferred
to finished goods storeroom is computed as follows: $137,500 $9,773 cost assigned
to ending inventory = $127,727.
Work in processending inventory:
Process 2:
Cost from preceding department .....................
Labor and factory overhead .............................
Process 3:
Adjusted cost from preceding
department...........................................
Labor and factory overhead .............................
(2)
$2.0769 4,000 units = $8,308
$2.0000 1,000 units = $2,000
$3.3864 2,000 units = $6,773
$3.0000 1,000 units = $3,000
Finished goods .............................................................
Work in ProcessProcess 2 .......................................
Work in ProcessProcess 3 .......................................
Work in ProcessProcess 1 ..............................
4,000
21,000
63,000
Finished Goods ...........................................................
Work in ProcessProcess 2 ..............................
36,692
Finished Goods ...........................................................
Work in ProcessProcess 3 ..............................
127,727
88,000
36,692
127,727
34,000
41,000
26,000
$2.00
$4.10
$2.10
$2.00
=
=
=
=
$4,000
$24,600
$8,400
$2,000
$ 8,4003
2,0004
$ 8,000
4,0001
$47,000
$3.00 = $6,000
units $6.32 = $107,440. To avoid a decimal discrepancy,
the cost transferred from current production is computed as follows: $137,500 ($20,500 + $9,640) = $107,360.
617,000
52,000
$84,000
Work in processending inventory:
Adjusted cost from preceding department.........................
Labor and factory overhead .................................................
Total cost accounted for ...................................................
12,000
$84,000
Cost Accounted for as Follows
Transferred to next department or to
finished goods storeroom
From beginning inventory:
Inventory cost ...............................................................
Labor and factory overhead added ............................
From current production:
Units started and finished.....................................................
$2.8000
6.32
81,000
72,000
10,400
$47,000
9,640
$137,500
$3.32 = $6,640
$3.00 = $3,000
6,6407
3,0008
107,3606
$127,860
24,6002
$36,600
$
$137,500 $
$14,500
6,0005 $ 20,500
4.10
$3.00
$3.00
$3.32
$3.15
$12,000
$
$ 60,000
$ 60,000
4,000
$84,000
2.00
2.00
Less value assigned to the by-product ...................................
Total cost to be accounted for .............................................
$
$
$18,000
$18,000
$1.8125
.9375
$2.7500
$58,000
30,000
$88,000
Adjusted cost from preceding department
($63,000 (20,000 units 1,000 lost units)) .......................
Cost added by department:
Materials .................................................................................
Labor and factory overhead .................................................
Total cost added ...............................................................
2.10
$ 63,000
$
$21,000
Process 3
Total
Unit
Cost
Cost
$ 14,500
Process 2
Total
Unit
Cost
Cost
$ 8,000
RECKLONVILLE COMPANY
Cost of Production ReportFifo Method
For February,
Process 1
Total
Unit
Cost
Cost
Cost Charged to the Department
Work in processbeginning inventory ...................................
Cost from preceding department:
Transferred in during the month..........................................
P8-6 (Continued)
(3)
Chapter 8
8-19
8-20
Chapter 8
P8-6 (Continued)
Additional Computations:
Equivalent production:
Transferred out .....................................................
Less beginning inventory (all units) .......................
Started and finished this period..............................
Add beginning inventory (work this period) ..........
Add ending inventory (work this period)................
Unit costs:
Materials, Process 1 .....................................................
Labor and Factory Overhead
Process 2
Process 3
9,000 units
20,000 units
3,000
3,000
6,000 units
17,000 units
2,000
2,000
1,000
1,000
9,000 units
20,000 units
$58, 000
32, 000
= $1.8125 per unit
Labor and factory overhead, Process 1 .....................
$30, 000
32, 000
= $ .9375 per unit
Total cost to be accounted for, Process 1 .................
$84, 000
30, 000
= $2.8000 per unit
Labor and factory overhead, Process 2 .....................
$18, 000
9, 000
= $2.0000 per unit
Labor and factory overhead, Process 3 .....................
$60, 000
20, 000
= $3.0000 per unit
Joint cost apportionment:
Sales price
......................................................................
Less processing cost subsequent to split-off point .............
Hypothetical market value at split-off point:
$8 10,000 units transferred.......................................
Process 2 Process 3
Product
Product
$
10 $
15
2
3
$
8$
12
$80,000
$12 20,000 units transferred.....................................
Joint cost allocation:
$80,000 .2625* ............................................................
$240,000 .2625 ...........................................................
* $84,000 ($80,000 + $240,000) = .2625
$240,000
$21,000
$63,000
Chapter 8
8-21
P8-6 (Concluded)
Unit cost:
$21,000 10,000 units..................................................
$2.10
$63,000 20,000 units..................................................
(4)
$3.15
Finished goods .............................................................
Work in ProcessProcess 2 .......................................
Work in ProcessProcess 3 .......................................
Work in ProcessProcess 1 ..............................
4,000
21,000
63,000
Finished Goods ...........................................................
Work in ProcessProcess 2 ..............................
36,600
Finished Goods ...........................................................
Work in ProcessProcess 3 ..............................
127,860
88,000
36,600
127,860
CASES
C8-1
(1)
The market value method of joint cost allocation assigns cost in proportion to
each products market value to all products as follows:
Market Value of Each
Product at Split-off
Total Market Value of
All Products at Split-off
Joint
Production
Cost
If there is no market value at split-off, then the value at the first sales point, less
separable cost, is used. If joint products have a market value at the split-off
point, the margin for all joint products at the split-off will be the same.
The joint cost is allocated in proportion to revenue generating ability (as contrasted to some quantitative measures not related to revenue). Therefore, this
accomplishes Jim Simpsons objective that inventoriable cost should be based
on each products ability to contribute to the recovery of joint production cost.
8-22
Chapter 8
C8-1 (Continued)
(2)
(a)
Because both main products have a market value at the split-off point, this
value, rather than the final sales value, is used to allocate the joint cost.
Joint production cost to be allocated ............................
Net revenue value of by-product (240,000 (.55 .05))
Joint cost to be allocated to main products .................
Product
Pepco-1.............
Repke-3 ............
Units Produced
900,000 gallons
720,000 gallons
$2,640,000
120,000
$2,520,000
Market Value at Split-off
Per Unit
Total
$2.00
$1,800,000
1.50
1,080,000
$2,880,000
Allocation of Joint Cost
November
Pepco-1 ($2,520,000 .625) .........................................
Repke-3 ($2,520,000 .375) .........................................
SE-5 ...............................................................................
November joint production cost ........................
(b)
Allocation of joint production
cost ...........................................
Additional processing cost
after split-off...............................
Total manufacturing cost ................
Divide by gallons produced............
Manufacturing cost per gallon. .....
Inventory costing:
Inventory, November 1...............
November production................
Inventory available.....................
November sales ........................
Inventory, November 30.............
Manufacturing cost per gallon .......
Cost of finished goods
inventory.....................................
Pepco-1
Percentage
of Total
Market Value
62.5%
37.5
100.0%
$1,575,000
945,000
120,000
$2,640,000
Repke-3
SE-5
$1,575,000
$ 945,000
$120,000
1,800,000
$3,375,000
900,000
$
3.75
720,000
$1,665,000
720,000
$ 2.3125
$120,000
240,000
$
.50
20,000
900,000
920,000
800,000
120,000
$3.75
40,000
720,000
760,000
700,000
60,000
$2.3125
10,000
240,000
250,000
200,000
50,000
$.50
$ 450,000
$ 138,750
$ 25,000
Chapter 8
8-23
C8-1 (Concluded)
(3)
When SE-5 becomes a main product, the joint production cost would be allocated proportionally to all three products on the basis of the market value of
each product at the split-off point. The net revenue of SE-5 will no longer be
deducted from the joint production cost prior to allocation because SE-5 will no
longer be a by-product.
C8-2
There are a number of areas that appear to be problematic in Harvard Products costing and decision-making processes. These areas, which are outlined below, need to be
reviewed and perhaps modified.
(1)
The use of the average unit cost method for allocating joint product cost. Units
produced, although a simple method of allocation, is not necessarily the best
method for apportioning cost across joint products. This method can distort the
cost-value relationship of a joint product and give an especially misleading picture of the gross margin provided by a joint product. For example, assume that
in meat processing of cattle, one produced ground beef and steaks. Each
pound of ground beef would be assigned the same joint cost as each pound of
steak, yet the sales prices per pound are quite different. For this reason, it is
better to use some value-related allocation base, such as the market or sales
value method, to allocate cost.
(2)
Inclusion of all spoilage costs in product cost. Spoilage in production
processes can be assessed as normal or abnormal. Whether spoilage is normal
(expected) or abnormal (unexpected) should guide the way in which spoilage
costs are handled in product costing. Normal spoilage is part of product cost
since it is planned for in implementating the production technology. Abnormal
spoilage should be written off as a loss in the period, and if the amount is material or the spoilage continues for a long time, the source of spoilage should be
found and corrected. The company does not seem to be distinguishing clearly
between normal and abnormal spoilage. This needs to be studied, and some
changes need to be made in the application of spoilage costs to product.
(3)
Decision making based on fully allocated cost. The company appears to be
about to make a product line decision on fully allocated cost data with joint cost
included. Decisions with relation to any of the products should be based on the
separable contribution margin of products, i.e., separable revenue less separable variable cost. This problem needs to be looked at closely since the allocated
joint cost figures should be used only for financial statement purposes.
8-24
Chapter 8
C8-3
(1)
The market value method does not provide additional data for the marketing
decision. Joint cost allocation is necessarily arbitrary and, although used for
financial accounting purposes, is not relevant to the decision to market DMZ-3
and Pestrol. The VDB joint cost is irrelevant to this decision because it is
incurred in both cases, i.e., the method of cost allocation has no impact on the
differential profit. The company should calculate the differential profit of its
alternate choices by comparing the differential revenues and differential costs.
(2)
The companys analysis is incorrect because it incorporates allocated portions
of the joint cost of VDB. The weekly cost of VDB ($246,000) will be incurred
whether or not RNA-2 is converted through further processing. Thus, any allocation of the joint cost of VDB is strictly arbitrary and not relevant to the decision to market DMZ-3 and Pestrol. The companys decision not to process
RNA-2 further is incorrect. The decision results in a loss of $20,000 in profit per
week, as indicated by the following analysis:
Revenue from further processing of RNA-2:
DMZ-3 (400,000 ($57.50 100)) ................................
Pestrol (400,000 ($57.50 100)) ...............................
Total revenue from further processing..............
Less revenue from sale of RNA-2 ...............................
Differential revenue .............................................
Differential cost* ..................................................
Differential profit..................................................
$230,000
230,000
$460,000
320,000
$140,000
120,000
$ 20,000
* The cost of VDB is not relevant and, thus, is omitted from the solution.
C8-4
(1)
(The requirement does not ask for a list of responsibilities Vickery has violated,
but, merely, which of the fifteen responsibilities apply to Vickerys situation.)
Management accountants have a responsibility to:
Competence: Perform their professional duties in accordance with relevant laws, regulations, and technical standards. (The inventory cost Vickery is
being asked to accept violates accounting principles of conservatism and of
matching current cost against current revenue.)
Prepare complete and clear reports and recommendations after appropriate analyses of relevant and reliable information. (Vickery has convincing evidence that failure to make the adjustment will misstate the resulting financial
statements.)
Chapter 8
8-25
Integrity: Refrain from either actively or passively subverting the attainment of the organizations legitimate and ethical objectives. (There is pressure
to subvert legitimate and ethical objectives to the immediate need for favorable
financial statements.)
Communicate unfavorable, as well as favorable, information and professional judgments or opinions. (Vickery is being asked to thwart communication
of unfavorable information.)
Refrain from engaging in or supporting any activity that would discredit
the profession. (Preparing deliberately misleading financial statements clearly
is a discredit to the profession.)
Objectivity: Communicate information fairly and objectively. (Vickery
would violate this responsibility if the inventory were not restated.)
Disclose fully all relevant information that could reasonably be expected
to influence an intended users understanding of the reports, comments, and
recommendations presented. (This material overstatement of inventory and
profit violates this ethical responsibility.)
(2)
In addition to his ethical responsibilities to his company, Vickery has ethical
responsibilities to:
(a) the bank
(b) the companys stockholders
(c) the management accounting profession