QRS Corp. is designing a product layout for a new product. They plan to use this
ID: 427621 • Letter: Q
Question
QRS Corp. is designing a product layout for a new product. They plan to use this production line ten hours a day in order to meet forecasted demand of 900 units per day. The following table describes the tasks necessary to produce this product:
Task
Time (Secs)
Immediate Predecessor
a
34
none
b
20
a
c
10
b
d
16
b
e
10
c
f
24
d,e
g
38
f
1. Without considering forecasted demand, what is the minimum possible cycle time for this production line?
A. 10 seconds
B. 20 seconds
C. 34 seconds
D. 38 seconds
E. 152 seconds
2. Without considering forecasted demand, what is the maximum possible cycle time for this production line?
A. 10 seconds
B. 20 seconds
C. 34 seconds
D. 38 seconds
E. 152 seconds
3. For output to equal forecasted demand, what should be the actual cycle time for this production?
A. 32 seconds
B. 38 seconds
C. 40 seconds
D. 76 seconds
E. 152 seconds
4. For output to equal forecasted demand, what is the minimum number of workstations needed?
A. 1
B. 3
C. 3.75
D. 4
E. 5
5. For output to equal forecasted demand, what will be the efficiency of the production line that uses the least number of workstations?
A. 81%
B. 90%
C. 95%
D. 85%
E. 100%
6. For output to equal forecasted demand, what will be the second task performed at the second workstation of the production line that uses the fewest number of stations?
A. a
B. b
C. c
D. d
E. e
Task
Time (Secs)
Immediate Predecessor
a
34
none
b
20
a
c
10
b
d
16
b
e
10
c
f
24
d,e
g
38
f
1. Without considering forecasted demand, what is the minimum possible cycle time for this production line?
A. 10 seconds
B. 20 seconds
C. 34 seconds
D. 38 seconds
E. 152 seconds
2. Without considering forecasted demand, what is the maximum possible cycle time for this production line?
A. 10 seconds
B. 20 seconds
C. 34 seconds
D. 38 seconds
E. 152 seconds
3. For output to equal forecasted demand, what should be the actual cycle time for this production?
A. 32 seconds
B. 38 seconds
C. 40 seconds
D. 76 seconds
E. 152 seconds
4. For output to equal forecasted demand, what is the minimum number of workstations needed?
A. 1
B. 3
C. 3.75
D. 4
E. 5
5. For output to equal forecasted demand, what will be the efficiency of the production line that uses the least number of workstations?
A. 81%
B. 90%
C. 95%
D. 85%
E. 100%
6. For output to equal forecasted demand, what will be the second task performed at the second workstation of the production line that uses the fewest number of stations?
A. a
B. b
C. c
D. d
E. e
Explanation / Answer
1.
[D]
Even if we perform one task per station, the minimum attainable cycle time is 38 seconds ('g' is the bottleneck).
2.
[E]
When we combine all the tasks into one station, the cycle time becomes = (34+20+10+16+10+24+38) = 152 sec.
3.
[C]
Demand is 900 units per day or 90 units per hour (10 hours operation). So, required cycle time = 3600 / 90 = 40 sec.
4.
[D]
Minimum number of workstations = Flowtime / required cycle time = 152 / 40 = 3.8 or 4 stations.
5.
[C]
A minimum number of stations can be ensured by using the SPT algorithm.
Efficiency = Flowtime / (# stations x station cycle time) = 152 / (4 * 40) = 95%
6.
[C]
c
Station Task Time (seconds) Time left (seconds) Ready tasks Station cycle time a 1 a 34 6 b 34 2 b 20 20 c,d 40 c 10 10 d,e e 10 0 d 3 d 16 24 f 40 f 24 0 g 4 g 38 2 38Related Questions
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