Week 9 practice
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School
Durham College *
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Course
5285
Subject
Industrial Engineering
Date
Dec 6, 2023
Type
xlsx
Pages
18
Uploaded by HighnessThunderMosquito22
Outdoor
Luggage
Inc.
makes
high-end,
hard-sided
luggage
for
sports
equipment.
Data
concerning
three
of
the
«
popular
models
appear
below.
Ski
Golf
Fishing
Guard
Guard
Guard
Selling
price
per
unit
$230
$330
$265
Variable
cost
per
unit
$
%
$150
$105
Plastic
injection
moulding
machine
processing
time
required
per
unit
4
min
10
min
5
min
Kgs
of
plastic
pellets
per
unit
5kg
11kg
12kg
Required:
1-a.
The
total
time
available
on
the
plastic
injection
moulding
machine
is
the
constraint
in
the
production
process
contribution
margin
per
unit
of
the
constrained
resources
for
Ski
Guard,
Golf
Guard
and
Fishing
Guard?
Ski
Guard
|
Goffet
Selling
price per
unit
$
230
$
Variable
cost
per
unit
90
Contribution
margin
per
unit
$
1402
§
Plastic
injection
molding
machine
processing
time
required
to
produce
one
unit
4|
minutes
10|
mit
Contribution
margin
per
unit
of
the
constrained
resource
$
35.00|per
minute
$
18.00|pel
1-b.
Which
product
would
be the
most
profitable
use
of
this
constraint?
¢
Ski
Guard
Golf
Guard
Fishing
Guard
1-c.
Which
product
would
be the
least
profitable
use
of
this
constraint?
Ski
Guard
¢
Golf
Guard
Fishing
Guard
2-a.
A
severe
shortage
of
plastic
pellets
has
required
the
company
to
cut
back
its
production
so
much
moulding
machine
is
no
longer
the
bottleneck.
Instead,
the
constraint
is
the
total
available
kilograms
¢
contribution
margin
per
unit
of
the
constrained
resources
for
Ski
Guard,
Golf
Guard
and
Fishing
Guard
Ski
Guard
Golf
Guard
|
Selling
price per
unit
$
230
$
330
Variable
cost
per
unit
90
150
Contribution
margin
per
unit
$
140
= $
180
Kgs
of
plastic
pellets
required
to
produce
one
unit
F
5|kgs
F
11{kgs
E
Contribution
margin
per
unit
of
the
constrained
resource
h$
28.00
|
per
kg
h$
16.36
|
per
kg
E
2-b.
Which
product
would
be
the
most
profitable
use
of
this
constraint?
<
Ski
Guard
Fisning
Guara
Golf
Guard
2-c.
Which
product
would
be
the
least
profitable
use
of
this
constraint?
Ski
Guard
¢
Fishing
Guard
Golf
Guard
3.
Which
product
has the
largest
unit
contribution
margin?
¢
Golf
Guard
Ski
Guard
Fishing
Guard
Explanation
1.
Production
of
the
Ski
Guard
product
would
be the
most
profitable
use
of
the
constrained
resource
which
is,
in
this
¢
moulding
machine.
The
contribution
margin
per
minute
is
$35.00
for
this
product,
which
is
larger
than
for
the
other
t
2.
In
this
part,
the
constraint
is
the
available
pounds
of
plastic
pellets.
In
this
case,
production
of
the
Ski
Guard would
be
the
most
profitable
use
of
the
constrained
resource.
The
contribu
constrained
resource
for
this
product
is
$28.00,
which
is
larger
than
for
the
other
two products.
3.
The
Golf
Guard
product
has
the
largest
unit
contribution
margin.
company’s
most
5.
What
is
the
E
Fishing
Guard
330[
§
265
150
105
160
180
2
$
nutes
F
5|
minutes
r
minute
h$
32.00|
per
minute
that
the
plastic
injection
»f
plastic
pellets.
What
is
the
I?
Fishing
Guard
$
265
105
—Ism
12|kgs
1$
13.33|per
kg
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ase,
time
on
the
plastic
injection
two
products.
ition
margin
per
unit
of
the
Outdoor
Luggage
Inc.
makes
high-end,
hard-sided
luggage
for
sports
equipment.
Data
concerning
three
of
the
popular
models
appear
below.
Ski
Guard
Golf
Fishing
Guard
Guard
Selling
price
per
unit
$200
$300
$255
Variable
cost
per
unit
$
60
$140
$
55
Plastic
injection
moulding
machine
processing
time
required
per
unit
2
min
5
min
4
min
Kgs
of
plastic
pellets
per
unit
7
kg
4
kg
8
kg
Required:
1-a.
The
total
time
available
on
the
plastic
injection
moulding
machine
is
the
constraint
in
the
production
proce:
contribution
margin
per
unit
of
the
constrained
resources
for
Ski
Guard,
Golf
Guard
and
Fishing
Guard?
Ski
Guard
Golf
Gua
Selling
price
per
unit
$
200
$
Variable
cost
per
un‘it_“
60
|
Contribution
margin
per
unit
)
$
140
5
§
Plastic
injection
molding
machine
processing
time
required
to
produce
one
unit
F
2[
minutes
F
5|
minut
Contribution
margin
per
unit
of
the
constrained resource
h$
70‘
per
minute
hs
32|perm
1-b.
Which
product
would
be
the
most
profitable
use
of
this
constraint?
<
Ski
Guard
Golf
Guard
Fishing
Guard
1-c
Which
product
would
be the
least
profitable
use
of
this
constraint?
Ski
Guard
¢
Golf
Guard
Fishing
Guard
2-a.
A
severe
shortage
of
plastic
pellets
has
required
the
company
to
cut
back
its
production
so
much
th
moulding
machine
is
no
longer
the
bottleneck.
Instead,
the
constraint
is
the
total
available
kilograms
of
|
contribution
margin
per
unit
of
the
constrained
resources
for
Ski
Guard,
Golf
Guard
and
Fishing
Guard?
Ski
Guard
Golf
Guard
Fishir
Selling
price
per
unit
$
200
$
300
$
Variable
cost
per
unit
60
140
Contribution
margin
per
unit
$
140
=
$
160
=
$
Kgs
of
plastic
pellets
required
to
produce
one
unit
F
7[
kgs
4|kgs
8
Contribution
margin
per
unit
of
the
constrained
resource
h$
20
1
per
kg
$
40|per
kg
$
25
2-b.
Which
product
would
be
the
most
profitable use
of
this
constraint?
Ski
Guard
¢
Golf
Guard
Fishing
Guard
2-c.
Which
product
would
be
the
least
profitable
use
of
this
constraint?
<
Ski
Guard
Golf
Guard
Fishing
Guard
3.
Which
product
has the
largest
unit
contribution
margin?
Ski
Guard
Golf
Guard
¢
Fishing
Guard
Explanation
1
Production
of
the
Ski
Guard
product
would
be
the
most
profitable
use
of
the
constrained
resource
which
is,
in
this
cas
moulding
machine.
The
contribution
margin
per
minute
is
$70
for
this
product,
which
is
larger
than
for
the
other
two
g
2.
In
this
part,
the
constraint
is
the
available
pounds
of
plastic
pellets.
In
this
case,
production
of
the
Golf
Guard would
be
the
most
profitable
use
of
the
constrained
resource.
The
contribut
constrained
resource
for
this
product
is
$40,
which
is
larger
than
for
the
other
two
products.
3.
The
Fishing
Guard
product
has
the
largest
unit
contribution
margin.
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»
company’s
most
ss.
What
is
the
rd
Fishing
Guard
300
$
255
140
55
160
3
$
200
38
F
4|
minutes
inute
ES
50|
per
minute
1at
the
plastic
injection
slastic
pellets.
What
is
the
B
—
g
Guard
255
55
200
kgs
per
kg
se,
time
on
the
plastic
injection
sroducts.
tion
margin
per
unit
of
the
Portsmouth
Company
makes
fine
colonial
reproduction
furniture.
Upholstered
furniture
is
one
of
its
major
pr:
bottleneck
on
this
production
line
is
time
in
the
upholstery
shop.
Upholstering
is
a
craft
that
takes years
of
e:
the
demand
for
upholstered
furniture
far
exceeds
the
company’s
capacity
in
the
upholstering
shop.
Informat
company’s
upholstered
chairs
appears
below:
Recliner
Sofa
Love
Seat
Selling
price
per
unit
$1,400
$1,800
$1,500
Variable
cost
per
unit
$
800
$1,200
$1,000
Upholstery
shop
time
required
to
produce
one
unit
8
hrs
10
hrs
5
hrs
Required:
1.
More
time
could
be
made
available
in
the
upholstery
shop
by
asking
the
employees
who
work
in
this
shog
Assuming
this
extra
time
would
be
used
to
produce
sofas,
up
to
how
much
of
a
premium
should
the
compar
employees
per
hour
to
keep
the
upholstery
shop
open
after
hours?
[JIaximum
amount
payable
per
hour
]’
$
60|
2.
A
small
nearby
upholstering
company
has
offered
to
upholster
furniture
for
Portsmouth
at
a
fixed
charge
¢
management
of
Portsmouth
is
confident
that
this
upholstering
company’s
work
is
high
quality
and
their
uphc
work about
as
quickly
as
Portsmouth’s
own
upholsterers
on
the
simpler
jobs
such
as
the
love
seat.
Should
rr
offer?
©
Yes
No
Explanation
1.
The
value
of
relaxing
the
constraint
can
be
determined
by
computing
the
contribution
margin
per
unit
of
the
constrained
re
Selling
price
per
unit
$
1,80¢
Variable
cost
per
unit
1,20e
Contribution
margin
per
unit
(a)
$
6ee
Upholstery
shop
time
required
to
produce
one
unit
(b)
1e
Contribution
margin
per
unit
of
the
constrained
resource
(a)
+
(b)
$
6e
The
company
should
be
willing
to
pay
up
to
$60
per
hour
to
keep
the
upholstery
shop
open
after
normal
working
hours.
2.
To
answer
this
question,
it
is
desirable
to
compute
the
contribution
margin
per
unit
of
the
constrained
resource
for
all
three
Recliner
Sofa
Selling
price
per
unit
$1,400
$1,800
Variable
cost
per
unit
800
1,200
Contribution
margin
per
unit
(a)
$
600
$
600
Upholstery
shop
time
required
to
produce
one
unit
(b)
8
hours
10
hours
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Contribution
margin
per
unit
of
the
constrained
resource
(a)
+
(b)
$
75
per
hour
$
60
per
hour
The
offer
to
upholster
furniture
for
$45
per
hour
should
be
accepted.
The
time
would
be
used
to
upholster
Loveseats.
If
thi:
production
and
sales
of
furniture,
the
time
would
be
worth
$100
per
hour—a
net
gain
of
$55
per
hour.
If
Loveseats
are
alrez
demand,
then
having
Loveseats
upholstered
at
the
other
company
would
free
up
capacity
to
produce
more
of
the
other
fur
additional
time
is
worth
more
than
$45
per
hour.
oduct
lines
and
the
xperience
to
master
and
ion
concerning
three
of
the
>
to
work
overtime.
1y
be
willing
to
pay
these
of
$45
per
hour.
The
sIsterers
should
be
able
to
1anagement
accept
the
'source:
sofa
)
hours
)
per
hour
products:
Love
Seat
$1,500
1,000
$
5ee
5
hours
$
108 per
hour
s
increases
the
total
ady
being
produced
up
to
‘niture.
In
both
cases,
the
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Valley
Meat
Processing
Corporation
is
a
major
processor
of
beef
and
other
meat
products.
The
company
hat
steaks
on
hand,
and
it
is
trying
to
decide
whether
to
sell
the
T-bone
steaks
as
is
or to
process
them
further
ir
York—cut
steaks.
Management
believes
that
a
kilogram
of
T-bone
steak
would
yield
the
following
profit:
Wholesale
selling
price
($16.00
per
kilogram)
$16.00
Less
joint
costs
incurred
up
to
the
split-off
point
where
T-bone
steak
can
be
identified
as
a
separate
product
12.00
Profit
per
kilogram
$
4.00
As
mentioned
above,
instead
of
being
sold
as
is,
the
T-bone
steaks
could
be
further
processed
into
filet
migi
steaks.
Cutting
one
side
of
a
T-bone
steak
provides
the
filet
mignon,
and
cutting
the
other
side
provides
the
gram
T-bone
steak
cut
in
this
way
will
yield
one
181-gram
filet
mignon
and
one
241-gram
New
York
cut;
the
re
The
cost
of
processing
the
T-bone
steaks
into
these
cuts
is
$1.40
per
kilogram.
The
filet
mignon
can
be
sold
and
the
New
York
cut
can
be
sold
wholesale
for
$22
per
kilogram.
Required:
1.
Determine
the
profit
for
each
480-gram
T-bone
steak
processed
further
into
filet
mignon
and
New
York—ct
answers
to
2
decimal
places.)
|
Per
480
gram
|
T-Bone
Revenue
from
further
processing:
Selling
price
of
one
filet
mignon
$
471
Selling
price
of
one
New
York
cut
5.30
Total
revenue
from
further
processing
10.01
Less
revenue
from
one
T-bone
steak
F
7.68
Incremental
revenue
from
further
processing
233
Less
cost
of
further
processing
F
0.67
Profit
from
further
processing
h
$
1.66
2.
Would
you
recommend
that
the
T-bone
steaks
be
sold
as
is
or
processed
further?
Sold
outright
¢
Processed
further
Explanation
1.
Selling
price
of
one
filet
mignon
(181
kg
x
$26.00
per
kilogram)
=
$4.71
Selling
price
of
one
New
York
cut
(.241
kg
x
$22.00
per
kilogram)
=
5.30
Less
revenue
from
one
T-bone
steak
($16.00
x
.480
kg)
=
7.68
Less
cost
of
further
processing
($1.40
x
.480
kg)
=
0.67
2.
The
t-bone steaks
should
be
processed
further
into
the
filet
mignon
and
the
New
York
cut.
This
will
yield
$3.46
($1.66/.£
profit
for
the
company.
The
$4.00
“profit”
per
kilogram
for
T-bone
steak
mentioned
in
the
problem
statement
is
not
rele
contains
allocated
joint
costs.
The
company
will
incur
the
allocated
joint
costs
regardless
of
whether
the
T-bone
steaks
further;
thus,
this
cost
should
be
ignored
in
the
decision.
s
a
large
number
of
T-bone
1to
filet
mignon
and
New
non
and
New
York—cut
New
York
cut.
One
480-
:maining
grams
are
waste.
retail
for
$26
per
kilogram,
Jt
steaks.
(Round
your
180kg)
per
kilogram
in
added
vant
to
the
decision,
because
it
are
sold
outright
or
processed
The
Scottie
Sweater
Company
produces
sweaters
under
the
“Scottie”
label.
The
company
buys
raw
wool
|
yarn
from
which
the
sweaters
are
woven.
One
spindle
of
wool
yarn
is
required
to
produce
one
sweater.
Th
associated
with
the
sweaters
are
given
below:
Selling
price
per
sweater
$
30.00
Cost
per
sweater
to
manufacture:
Raw
materials:
Wool
yarn
$16.00
Buttons,
thread,
lining
2.00
Total
raw
materials
18.00
Direct
labour
5.80
Manufacturing
overhead
8.76
32.50
Manufacturing
profit
(loss)
$
(2.50)
Originally,
all
of
the
wool
yarn
was
used
to
produce
sweaters,
but
in
recent
years
a
market
has
developed
Current
cost
and
revenue
data
on
the
yarn
are
given
below:
Selling
price
per
spindle
of
yarn
$20.00
Cost
to
manufacture:
Raw
materials
(raw
wool)
$7.00
Direct
labour
3.60
Manufacturing
overhead
5.48
16.00
Manufacturing
profit
$
4.00
All
of
the
manufacturing
overhead
costs
are
fixed
and
would
not
be
affected
even
if
sweaters
were
discon
overhead
is
assigned
to
products
on
the
basis
of
150%
of
direct
labour
cost.
Materials
and
direct
labour
co
(Round
the
final
answers
to
2
decimal
places.)
Required:
1.
What
is
the
incremental
contribution
margin
(if
any)
from
further
processing
the
wool
into
sweaters?
Elcremenml
contribution
margin
r
$
2.20|
2.
What
is
the
lowest
price
that
the
company
should
accept
for
a
sweater?
minimum
price
r
$
27.80
Explanation
1
As
much
yarn
as
possible
should
be
processed
into
sweaters.
Products
should
be
processed
further
so
long
as
the
ad
processing
are
greater
than
the
added
costs.
In
this
case,
the
added
revenues
and
costs
are:
Per
Sweater
Added
revenue
($30.00
-
$20.00)
$10.00
Added
costs:
Rut+nane
+hnasd
Tinina
<>
oo
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Dutiune,
G
sau,
sinang
ve.vy
Direct
labour
5.80
7.80
Added
contribution
margin
$
2.20
Thus,
the
company
will
gain
$2.20
in
contribution
margin
for
each
spindle
of
yarn
that
is
further
processed
into
a
swea
overhead
costs
are not
relevant
to
the
decision
because
they
will
be
the
same
regardless
of
whether
the
yarn
is
sold
¢
we
must
omit
the
$16.00
cost
of
manufacturing
the
yarn
because
this
cost
will
be
incurred
whether
the
yarn
is
sold
as
2.
The
lowest
price
the
company
should accept
is
$27.80
per
sweater.
The
simplest
approach
to
this
answer
is:
Present
selling
price
per
sweater
$30.0
Less
added
contribution
margin
being
realized
on
each
sweater
sold
2.2
Minimum
selling
price
per
sweater
$27.8
A
more
involved
approach
to
the
same
answer
is
to
reason
as
follows:
If
the
wool
yarn
is
sold
outright,
then
the
company
will
realize
a
contribution
margin
of
$9.40
per
spindle:
Per
Spindle
Selling
price
$20.00
Variable
expenses:
Raw
wool
$7.00
Direct
labour
3.60
10.60
Contribution
margin
$
9.40
This
$9.40
is
an
opportunity
cost.
The
price
of
the
sweaters
must
be
high
enough
to
cover
this
opportunity
cost.
In
additi
to
cover
all
of
its
variable
costs
from
the
time
the
raw
wool
is
purchased
until
the
sweater
is
completed.
Therefore,
the
m
Variable
costs
of
producing
a
spindle
of
yarn:
Raw
wool
$7.00
Direct
labour
3.60
Added
variable
costs
of
producing
a
sweater:
Buttons,
etc
2.0
Direct
labour
5.80
Total
variable
costs
Opportunity
cost—contribution
margin
if
the
yarn
is
sold
outright
Minimum
selling
price
per
sweater
and
processes
it
into
wool
1e
costs
and
revenues
for
the
wool
yarn
itself.
tinued.
Manufacturing
)sts
are
variable.
|ded
revenues
from
further
iter.
The
fixed
manufacturing
or
processed
further.
In
addition,
is
or
is
used
in
sweaters.
IO‘O@
on,
the
company
must
be
able
inimum
price
is:
$10.60
7.80
18.40
9.40
$27.80
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