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March 29, 2023
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Chapter
8
Cost Concepts Relevant to Decision Making
Class
ifyin
g Cost
8.1
•
Storag
e and material handling
costs for ra
w materials: produc
t cost (indirect
costs)
•
Gains or loss on disposal of factory equipment: period costs
•
Lubricants for machinery and equipment used in p
roduction: product cost (mfg.
Overhead)
Cost be
havi
or
8.2
•
Wages paid
to tem
porar
y workers
: Vari
able
cost
•
Property taxes on factory building: Fixed cost
2
|
P
age
8.3
(a)
(301
)
(300)
12,
519.01 12,
500
C C
− =
−
$19.01
=
8.4
Question
Output level
1,000 units
2,000 Units
(a) Total
manu
facturin
g cost
$98,000
$160,000
Cost
–
V
olum
e
–
Prof
it Relat
ionsh
ips
8.5
(a)
•
RTJ Option:
•
Wynlakes Option:
(b)
*
14,
810
95
10,
400 140
45 4,
410
98
b
NN
N
N
+= +
=
=
8.6
(a)
Bre
ak
-even sales volume:
$200,000
(b)
Marginal contribution rate = 20%
(d)
No ch
ange in M
CR.
1.1 $44,
000
$44,
000
$220,
000
0.2
FF
R
= =
= =
(e)
(f)
$40,
000 $20,
000
$100,
000
0.2
−
=
8.7
(a)
Since belt A has maximum contribution m
argin, we choose to first pursue
belt A at its dema
nd. And we choose to produ
ce belt A at its maximum
demand.
Then the fixed cost rema
ins
$255
,
000 $3
(
20,
000)
$195
,
000
− =
and we
(c)
Operat
in
g income
=
$3
(
20,
000) $2(80
,
000) $1
(
100,
000) $255,
000
$65
,
000
+
+
− =
.
Once again, we choose to produce belt A at its maximum demand. Then
the new fi
xed co
st is
$255
,
000 20,
000($3)
$195
,
000
− =
. Then, we choose
belt B based on the contribution margin, the breakeven for belt B is
8.8
(a)
Tot
al fix
ed cost
to be rec
overed
5
|
P
age
8.9
(a)
No.
Descr
iption
No.
Descr
iption
1.
Profi
t (Loss)
6.
Break ev
en
5.
Fixed
costs
10.
Marginal contribution
(b)
Case
Unit
Sold
Sales
Var
iab
le
Expenses
Contr
ibut
ion
Mar
gin per
Uni
t
Fixed
Expenses
Net Incom
e
(Lo
ss)
A
9,000
$270,000
$162,000
$12
$90,000
$18,000
C
20,000
$280,000
$35,000
$14
Cost C
oncep
ts Re
levan
t to Dec
ision
Mak
ing
8.10
Additional order units = 100
Labor cost = ($12)(5)(100) = $6,000
8.11
(a)
Product mix
that must satisfy
: A:B = 4:3, or 4B = 3A
(b)
10A + 12A = 5A + 10A + 2,600; A = 371.43 units
(c)
Compute the marginal contribution rate (MCR) for each product: Product A =
(d)
Product A: MCR = $5 per unit; Production tim
e = 0.5 hour per
unit; profit p
er
Conclusion
: Pro
duct A is m
ore profit
able, so
it should
be pushed f
irst.
8.12
(a)
Increm
ental
cost
In-
house Outsour
cing
Opti
o
n Opti
o
n
Sol
de
rin
g operat
i
on
4.
80
$
Di
re
ct
mat
e
ri
al
s
7.
50
$
6.
00
$
D
e
sc
r
ip
t
io
n
The outsourcing option would cost $1.98 more for each unit.
(b)
Bre
ak
-even price = $4.80
– $1.98 = $2.82 per unit
8.13
Give
n
, $60,
000,
0.3
v
F
p
= =
7
|
P
age
(a)
(b)
(c)
.
0.92 ($60,
000)
$60,
000
Break-ev
en sales =
0.92
1
0.92
pF p
v
pv pv
p
= =
−−
−
8
|
P
age
Short Case Studies
ST 8.1
(a)
Bre
ak
-even volume:
•
6-day operation: capacity
→
6,000 cwt/day, 6 days,
p
= $22.64
/ cwt
•
7-day operation: capacity
→
6,000 cwt/day, 7 days,
p
= $22.64
/ cwt
(b)
•
6-day operation:
(c)
6-da
y ope
ration
9
|
P
age
(d)
7-da
y ope
ration
•
Net prof
it margin before
taxes
•
Total prof
it
for each operation:
•
6days operation case
ST 8.2
(a)
11
:5 0
OP x
=
(b)
10
|
P
age
(c)
5
x
= −
30
M
−
60
x
+
100
x
x
=
0.857
M
ST 8.3
(a)
Make
Bu
y
Variable Costs
Direc
t materials
$40,000.00
Direct m
anufact
urin
g labor
$20,000.00
$15,000.00
Inspection, setup, material handling
Cost to purchase chains
$82,000.00
Fixed Costs
Machine l
ease
insurance
$30,000.00
$30,000.00
$110,000.00
$112,000.00
Ace should not accept the offer since the unit cost is slightly more when ACE buy
chains.
(b
)
Make
Bu
y
Variable Costs
Direc
t materials
$40,000.00
Direct m
anufact
urin
g labor
$20,000.00
$15,000.00
handling
Cost to purchase chains
$82,000.00
Fixed Costs
Machine l
ease
taxes
, & insur
ance
$30,000.00
$30,000.00
Fixed costs of upgrades
$16,000.00
Variable m
anufa
cturi
ng
11
|
P
age
(c
)
Make
Bu
y
Variable Costs
Direc
t materials
$24,800.00
Direct m
anufact
urin
g labor
$12,400.00
(power
& utilities
)
handling (8
batches)
units)
Fixed Costs
Machine l
ease
& insuran
ce
$30,000.00
$81,100.00
Variable m
anuf
a
cturing overhe
ad
Profit by upgrading the bike
12
|
P
age
ST8.4
(a)
Vo
l
ume
Ma
ke
i
n-
house
Un
i
t
C
o
s
t
10,
000
Di
re
ct
mat
e
ri
al
s
20.
00
$
200,
000.
00
$
D
i
rect
manufac
turing l
abor
10.
00
$
100,
000.
00
$
V
ar
i
a
bl
e
manufac
turing ove
rhead
6.
00
$
60,
000.
00
$
(b)
Opportunity cost of producing the engines in house:
13
|
P
age
(c)
The outsourcing option is more economically attractive.
Ma
ke
in-
house
Un
i
t
C
o
s
t
10,
000 6,
000
Di
re
ct m
ate
ri
al
s
20.
00
$
200,
000.
00
$
120,
000.
00
$
Vo
l
ume