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Management Chapter 1 Homework Capacity Option Demand Scenario
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September 28, 2022
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First Attempt:
240
seconds
Second Attempt:
180
seconds
a.)
b.)
Attempts Until 50% of First Run:
9
(from
Table 6.4)
c.)
$0.50
Capacity
Option
Fixed Cost
Variable Cost
Per Unit of
Output
Max. Output
10 Servers
$50,000
$0.005 20,000,000
Demand
Scenario
Demand Level
Probabi
lity
*** Break-Even and Indifference Points ***
Break-Even
Point
10 Servers
20 Servers
30 Servers
10 Servers
101,011
— — —
*** Results for Different Capacity/Demand Combinations ***
15 Milli
on
30 Milli
on
45 Milli
on
Expected
Value
10 Servers
$7,375,000 $9,850,000 $9,850,000 $9,107,500
a.)
Break-Even
10 Servers
101011
hits
b.)
Indifference Point between 1
0 and 20 servers:
20,000,000
hi
ts
c.)
15 Milli
on
30 Milli
on
45 Milli
on
Expected Value
First Job:
5
weeks
Second Job:
4
wee
ks
NOTE: Enter Inputs in Yel
low-Shade
d Cells.
Revenue per unit o
f output:
Service Rate:
15
calls per hour
f.)
e.)
Tim
e to finish next 5 jobs (3-7):
15.17
weeks
(using Table 6.4)
ong-Run Averages:
Arrival Rate:
11
calls per hour
g.)
h.)
*** Per Job Estimates **
*
Revenue:
$2,000.00
Cost:
Hours
Per Hour
Total
Labor
30
$10.00 $300.00
Equipment
20
$20.00 $400.00
Total Cost:
$700.00
*** Demand Scenario Estimates ***
Demand
Scenario
Demand Level
Probabi
lity
High
300 30%
*** Capacity Option Estimates ***
Part a)
Capacity
Option
Number of
Labor Hours
Number of
Equipment
Hours
Fixed Cost
Break-Even
Point
Max. Number
of Jobs
Handled
Part b)
*** Per Job Estimates **
*
Revenue:
$2,000.00
Cost:
Hours
P
er Hour
Total
Labor
30
$10.00 $300.00
Equipment
20
$20.00 $400.00
Total Cost:
$700.00
*** Demand Scenario Estimates ***
Demand
Scenario
Demand Level
Probabi
lity
High Demand
300 30%
*** Capacity Option Estimates ***
Capacity
Option
Number of
Labor Hours
Number of
Equipment
Hours
Fixed Cost
Break-Even
Point
Max.
Number of
Jobs
Handled
High Capacity
9,000
6,000 $210,000
105
300
*** Results for Different Capacity/Demand Combinations ***
High Demand
Med. Demand
Low Demand
Expected
Profit
High Capacity
$204,000 $204,000 $204,000 $204,000
High
Demand Level
Probabi
lity
Prof
it
NOTE: Enter Inputs in Yel
low-Shade
d Cells.
NOTE: Enter Inputs in Yel
low-Shade
d Cells.
EP =
300
30%
$204,000
Demand Level
Probabi
lity
Prof
it
300 (225 is Max)
30%
$153,500
Demand Level
Probabi
lity
Prof
it
200
40%
$153,500
EP =
Demand Level
Probabi
lity
Prof
it
EP =
Demand Level
Probabi
lity
Prof
it
Capacity
Option
Decision
Demand
Outcom
e
$100.00
Capacity
Option
Fixed Cost
Variable Cost
Per Unit of
Output
Max. Output
Option A
$0.00 $30.00
200
Demand
Scenario
Demand Level
Probabi
lity
Low
125 25%
*** Break-Even and Indifference Points ***
Break-Even
Point
Option A
Option B
Opti
on C
Option A
0.00
— — —
*** Results for Different Capacity/Demand Combinations ***
Low
Medium High
Expected
Value
Option A
$8,750.00 $14,000.00 $14,000.00 $12,687.50
NOTE: Enter Inputs in Yel
low-Shade
d Cells.
Revenue per unit o
f output:
Lar
ge
Orders
T = 2 days
20%
4
$7.00
$2.90
Capacity
Option
Fixed Cost
Variable Cost
Per Unit of
Output
Max. Output
No Roaster
$0.00
$3.00 14,400
Total:
100%
*** Break-Even and Indifference Points ***
Break-Even
Point
Indifference
Point
No Roaster
0
—
Question 1.)
NOTE: Enter Inputs in Yel
low-Shade
d Cells.
Revenue per unit o
f output (first 14,400 lbs):
Revenue per unit o
f output (after 14,400 lbs):
The two capacity
options that
Robbie needs to consider are buy
ing vs. not buy
ing a coffee roaster. The cos
ts of not
buy
ing a roaster are $0.00 (Fixed) and $3.00 (Variable) w
hile the costs of buy
ing a roaster are $35,000 (Fixed) and
Demand
Demand Level
Probabi
lity
18,000 33%
Demand Level
Probabi
lity
25,000 33%
Question 2.)
Question 3.)
Question 4.)
The dem
and scenarios do not make a diff
erence in the expected profit if Forster’s does not invest in t
he roaster since
all of the demand scenarios are greater than the 14,400 maximum
that Forster’s will sell i
n-house.
Profit
$47,440
Expected Value
$56,540
Demand
Profit
$57,600
$69,540
Profit