Ice cream and iPhone solution
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School
University of New Mexico, Main Campus *
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Course
2110
Subject
Industrial Engineering
Date
Dec 6, 2023
Type
Pages
3
Uploaded by MinisterWater11566
Ice
cream
and
iPhones:
how
many
can
we
have?
Overview:
In
this
cconomy,
the
resources
are
2
software
developers,
2
MBA’s,
4
high
school
grads,
and
4
cows.
Each
resource
can
be
hired
by
an
ice
cream
factory
or
by
an
iPhone
development
facility.
The
list
below
shows
what
the
resource
produces
when
it
works
for
the
ice
cream
factory
and
for
the
iPhone
facility.
o1
Software
developegg
can
make
12
iPhones
or
11
gallons
ice
cream
°A
Cowd
can
make
0
iPhones
or
15
gallons
ice
cream
°
MBA®
can
nmka
HkiPhones
or
8
gallons
ice
cream
¢
A
High
school
grad
can
make
7
iPhones
or
9
gallons
ice
cream
1o
make
this
go
smoothly.
first
take
a
moment
to
find
the
opportunity
cost
for
each
resource
by
completing
the
table
below.
Opportunity
cost
of
producing
ice
Opportunity
cost
of
producing
iPhones
crgam
\
=number
of
iPhones
given
up
for
each
|
=gallons
of
ice
cream
given
up
for
each
|
gallon
of
ice
cream
iPhone
(el
i
_
=
#
of
iPhones/#
gallons
of
ice
cream
=gallons
of
ice
cream
/
#
of
iPhones
(%nfiu\arc
|2
iPhones
per
gallon
1)
Gallons
of‘ice
|
developers
|
T
of
ice
cream
—\":_‘
cream
per
1?h0nc
g
|
MBAs
iPhones
per
gallon
S
Gallons
of
ice
IE5
Gt
¥
4‘7
\
of
ice
cream
cream
per
iPhone
\
High
school
grads
B
77
iPhones
per
gallon
9
Gallons
of
ice
|t
L
of
ice
cream
6y
cream
per
iPhone
Cows
T
S
A
\
iPhones-pas=geton-
/§
,
Gallons
of
ice
\_
AU
PR
!
O
plsiseeremT
cream
pessrizsme
Solve
the
following
resource
allocation
problems.
Be
sure
to
use
all
resources
for
every
allocation.
1"
allocation:
produce
ice
cream
only.
lce
eream
produced:
;ilfzi
iPhone
produced:
0
2
H?gh
SO}’C‘B/
9'214
2
)
%e
2"
allocation:
produce
iPhones
only.
CW)fi
S
flce
C,%/‘L
1Pl
43
lce
cream
produced:
0
iPhone
produced:
é)é
-
=
e
dan-
/4
3
Allocation:
Divide
your
resources
in
half
and
have
half
produce
Ice
Cream
and
half
produce
iPhones.
:
To
do
this,
divide
each
resource
type
in
half;
and
then
place
half
of
the
resource
in
the
ice
cream
facility,
and
hall'in
the
iPhone
development
facility.
Count
the
lce
Cream
and
iPhones
produced.
Ice
cream
produced:
é
;
"
iPhone
produced:
&é
4"
Allocation:
Now
re-allocate
one
resource
from
Iee
Cream
to
iPhones
and
one
resource
from
iPhones
to
lee
Cream
so
that
you
produce
more
Ice
Cream
than
before
but
also
MORE
iPhones.
lce
cream
produced:
T?
_
iPhone
produced:fi
’\
ém@
dfi\)@[?fl/—%
Tflg}le
-
How
were
you
able
to
COWS
L
iag
T
d“@m
Other
resice
albeation
75
fire.
vce
cleam
s
[
as
lm(j
%
JW,(
Hg:gd@
e
Tee
iy
&
et
more
Ceamn.
o
50%\)0?&’
I
b?ze,
t/&rs
e
Claam
.
*L"Q
nae
1
7>/{a7zes
ofi%}
5"
Allocation:
N
m\
allocate
all
resources
so
they
are
producing
what
they
are
hcl\
oL
re?)
CE‘ZAI
lee
erzam
produced:
lgii
iPhone
produced:
£
6"
Allocation:
From
the
53"
allocation.
p-oduce
more
iPhones
in
the
most
efficient
way you
can
(by
giving
up
the
least
amount
of
ice
cream
per
additional
iPhone).
This
will
involve
moving
one
resource
(one
resource)
from
ice
cream
to
iPhones.
HINT:
look
for
the
lowest
opportunity
cost
in
terms
of
ice
cream
given
up
per
additional
iPhone.
—
/{'(
%
Lowest
OC
Ice
cream produced:
5
_
iPhone
produced:
g
1.
Graphing
the
PPF
iPhones
140
[
|
\
]
.
\
e
—_
!
L)
N
i
8
il
EA
ARCE
’
=
L
|
\\
(7‘1‘
)
[
|
|
[
{
.
\J%,fl)
40
27
'\\
[Fre
T
e
R
o«
|
TN
L
20
s
[
|
RO
40
60
80
100
120
140
1,0
)
-
ICE
CR
M
1)
Use
the
six
allocations
above
to
plot
your
production
points
on
the
graph.
Draw
the
Frontier.
2
)
o
9.
b)
Which
of
your
allocations
were
efficient?
[
246
2
¢)
Which
were
inefficient?
4
How
did
vou
decide
which
resources
to
re-allocate
in
allocations
4
and
67
Use
the
concept
of
opportunity
costs
in
your
explanation.
Movig
MBA
or
sofian
developet”
trom.
7o
CYean
-f%w—t,prj
1o
TPme
fa,oT//‘fies
s
%y
have
|awar
oppertanity
cost
Lo
/Ycaéde
e,
What
would
have
to
happen
for
your
economy
to
produce
OUTSIDE
of
the
current
PP
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