EMBA 生管期末考範圍:
1. Waiting line management (three models)
2. forecasting (moving average, weighted MA, Exponential smoothing, regression)
3. inventory management (EOQ, quantity discount model)
4. Quality management , Statistical process control (X-bar and R chart, p-chart)
5. project management (CPM, probabilistic CPM)
1. What is the purpose of classifying items into groups, when using the ABC type inventory planning system?
A) to determine unit cost of items
B) to establish the appropriate degree of control over each item
C) to determine if group deviations are normally distributed by MAD
D) to determine if an item has high dollar volume E) none of the above
2. The use of House of Quality is to
A) build a house in a better way.
B) include the voice of customers in the design
C) understand Deming’s concepts better
D) help a company get ISO 9000 certified
E) none of the above
Use the following for questions 3-6.
A project involves the following activities.
Activity
Completion time (days)
A
3.0
B
2.0
C
8.0
D
6.0
E
4.0
F
5.0
G
3.0
3. What is the critical path?
4.
5.
6.
Predecessors
None
None
A
A, B
C, D
C, D
E
A) A-D-F
B) A-C-E-G
C) B-D-E-F
D) A-D-E-G
E) none of the above
How many days will it take to complete the overall project if activity E actually takes six days
to complete?
A) 18
B) 19
C) 20
D) 21
E) none of the above
How many days will it take to complete the overall project if activity D did not start until the
fourth day after the project started, and actually takes 8 days to complete?
A) 18
B) 19
C) 15
D) 16
E) none of the above
What is the latest time that activity F can begin and not delay the overall project?
A) 14
B) 15
C) 11
D) 13
E) none of the above
Use the following for questions 7-19.
Burger King at Taipei uses 120 paper cups each day. They plan to be open 360 days a year. The cups cost
$0.10/dozen; ordering costs are $5/order, and the annual holding costs are 0.5 of the item cost. The order lead
time is 5 days. (請注意答案的單位) (1 dozen (打)=12 cups)
7. What is the optimal order quantity?
A) 745 dozens B) 849 dozens C) 567 dozens D) 623 dozens
8. How many times in a year does Burger King have to place orders?
A) 2.12
B) 3.55
C) 4.24
D) 5.36
9. What is the annual inventory holding cost?
A) $21.2
B) $34.5
C) $40.8
D) $14.0
1
E)
900 dozens
E)
6.34
E)
$6.5
10.
What is the reorder point?
A) In a week
C) Before the cups are all used up
E) none of the above
B) When there are 600 cups left in the inventory
D) When there are 120 cups in the inventory
Use the following for questions 11-15.
The World Travel Service currently has one main office which is open 10 hours a day. In a typical hour, 60
customers arrive at the office. The office has three travel agents on duty at all times, and each agent takes an
average of 2 minutes to serve each customer. The company is considering changing the office to three one-agent
offices in three different parts of the city so that they can contact more customers. The management believes that
the current customers will be evenly divided (分割) among the three new offices. Assume that agent service and
customer arrival times follow Exponential distribution.
11. On average, how many customers will be waiting (in line) at the office in the current system?
A)
3.99 B)
0.889
C)
2.77 D) 1.34
E)
None of the above
12. On average, how long does a customer have to spend (both waiting and getting service) in the current system?
A) 2.04 min B)
6 min
C) 3 min
D)
2.88 min
E) None of the above
13.
What is the probability of seeing exactly one customer waiting in line in the new system?
A) 0.22 B) 0.56 C) 0.8 D) 0.44
E) None of the above
14. On average, how many customers will be waiting (in line) at all the offices in the new system?
A) 1
B) 1.33
C) 2.64
D) 3.99
E)
None of the above
15.
On average, how long will a customer wait in the offices in the new system?
A) 2.33 min
B)
4 min
C) 12 min
D)
8.44 min
E) None of the above
Use the following for questions 16-18
Legal Express located in Downtown Los Angeles has hired an outside consultant(顧問) to provide forecasts for
their trimester sales (one trimester has 4 months).
The consultant has decided to use a sophisticated forecasting
technique to obtain accurate forecasts. Before hiring the consultant, Legal Express was using a regression method
with an intercept a and a slope b as shown: a=81.29, b = 5.92. (注意:顧問的預測與你的預測無關)
t
1
2
3
4
5
6
Year
1992
1993
Trimester
1
2
3
1
2
3
Consultant’s Forecasts
70
85
125
100
100
150
Actual Demand ($000)
60
80
130
90
95
145
16. What would the forecast of the 3rd trimester of 1993 be if Legal Express used a 2-period weighted moving
average, with the most recent period given a weight of 0.6?
A) 135
B) 94
C) 93
D) 92
E) none of the above
17. What would the forecast of the 1st trimester of 1994 be if Legal Express used the regression model
Ft  a  bt ?
A) 119.2
B) 122.73 C) 106.8
D) 76
E) none of the above
18. What would the forecast of the 1st trimester of 1993 be if Legal Express used an exponential smoothing
approach with alpha = .8? ( Ft  Ft 1   ( At 1  Ft 1 ))
A) 119.2
B)
134.6
C) 125.8
D) 76
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E)
none of the above
Use the following for questions 19-21.
All-Boats manufacturers carbon fiber masts for sailboats. The Wall thickness of the mast is critical to the strength
and durability of the mast. The engineering specification is 10 mm thickness +/-1.5 mm. All-Boats took the
following samples of wall thickness from their production line yesterday.
Sample
Measured thickness (mm)
1
10.7
10.8
10.9
2
10.2
10.4
10.6
3
10.7
11.0
11.3
4
9.6
9.8
10.0
19. What is the upper control limit for the X-bar chart?
A) 12.125
B) 11.501
C) 10.792
D) 10.908
E) none of the above
20. What is the upper control limit for the R chart?
A) 4.115
B) 3.000
C) 1.028
D) 0.914 E) none of the above
21. All-Boats has just collected the following sample:
Sample 5 12.2 11.4 8.7
What can you say about today process?
A) The process is in control.
B) The process is out of control. The variation has increased.
C) The process is out of control. The mean has shifted.
D) The process may go out of control soon, since one chart is out of control.
E) none of the above
Use the following for questions 22-23.
The XYZ company purchases a component used in the manufacture of automobile generators directly from a
supplier. XYZ needs 5000 units of this component in a year, and the demand is considered pretty stable. The
ordering cost is $49 per order. The annual inventory holding cost is 20% of the unit cost. The supplier offers the
following quantity discounting scheme:
Order Quantity
Unit price ($)
1 to 999
5.00
1000 to 2499
4.85
2500 and over
4.75
22. What is the best order quantity?
A) 700
B) 718
C) 2500
D) 1000
E) none of the above
23. What is the minimum annual total cost?
A) $25,700
B) $24,980
C) $23,567
D) $21,054
E) none of the above
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Use the following for problems 24-26.
Use 2 decimals for ALL answers!!
The following represents a project that is due to begin soon. The activities, their immediate predecessors, and the
activity time estimates in weeks are as follows:
------------------------------------------------------------------------------------------------------------------Immediate
Time (weeks)
Activity
Description
predecessor optimistic Most likely Pessimistic
------------------------------------------------------------------------------------------------------------------A
Meet with board
--1
3
5
B
Hire coaches
--1
2
3
C
Reserve pool
A
1
2
3
D
Announce program
A
2
3
4
E
Meet with coaches
B
3
4
11
F
Order team suits
C, D
3
4
5
G
Register swimmers
D, E
1
4
6
H
Collect fees
F, G
2
4
5
-------------------------------------------------------------------------------------------------------------------The critical path is B-E-G-H.
24. What is the variance of the critical path?
A) 1..68
B) 3.99
C)
2.83
D)
0.44 E)
none of the above
25. What is the expected completion time of the project?
A) 12 weeks
B) 14.67 weeks
C) 16.22 weeks
D) 20 weeks
E) none of the above
26. What is the probability that the project will be completed between 13 weeks and 16 weeks?
A) 0.99 B) 0.79 C) 0.285
D) 0.624
E ) none of the above
Answers:
1-5: B B B C B
6-10: D B C A B
11-15: B D A D B
16-20: C B A D C
21-26: B D B C B D
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