Flow Rate_Practice Quiz
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Concordia University *
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363
Subject
Industrial Engineering
Date
Dec 6, 2023
Type
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3
Uploaded by safwiz999
Q7.
Two vital stages in a production process are assembly and packaging.
The unit load for the assembly stage is
6.0 minutes, while it is 4.5 minutes for
packaging.
There are 10 employees working in assembly and 7 employees working in packaging.
Suppose that the hourly demand for jobs (units) is
70.0.
What is the capacity utilization of the process?
Ti
ci
Assembly
6.00
10
Packaging
4.50
7
R
70
Ti
ci
Eff. Cap. Res Pool
Assembly
6.00
10
1.666667
Packaging
4.50
7
1.555556
R
70
Eff. Cap.
1.555556
Cap. Utiliz.
0.75
Utilization = R/Eff cap
= 70/(60*1.556) =
Ans. 0.75
Q
8.
Two vital stages in a production process are assembly I and assembly II.
The unit load for the assembly I stage is
4.0 ( 50% higher for high
skill) minutes, while it is 6.0 (30% higher for high skill) minutes for assembly II.
There are 10 employees working in assembly I and 7
employees working in assembly II.
80% of low skill labor and 20% of high skill labor are required at both stages.
Suppose that the hourly
demand for jobs (units) is 70.0.
What is the mix effective capacity of the process?
Assembly I
4.00
10.0
Assembly II
6.00
7.0
R
70
Flow Rate
April 1, 2022
8:21 AM
Video Quiz Page 1
Assembly I
4.00
10.0
Assembly II
6.00
7.0
R
70
Ti (low skill)
ci
Ti (High Skill)
Ti (mix)
Assembly I
4.00
10.0
6.00
4.4
Assembly II
6.00
7.0
7.8
6.36
Low Skill
80
High
20
Ti mix = 4*0.8 + 6*0.2 = 4.4
Ti mix = 6*0.8 + 7.8*0.2 = 6.36
Eff. Cap = 10/4.4
= 2.2727
Eff. Cap. Resource pool
2.272727
Eff. Cap.
1.100629
1.100629
Eff. Cap.
Ans. 1.1
Q9
.
Two vital stages in a production process are assembly I and assembly II.
The unit load for the assembly I stage is
7.0 ( 50% higher for high
skill) minutes, while it is 10.0 (30 % higher for high skill) minutes for assembly II.
There are 7 employees working in assembly I and 8
employees working in assembly II.
65% of low skill labor and 35% of high skill labor are required at both stages. .
On average 18% of the
operating time is wasted, what's the theoretical unit load for Assembly II?
Ti (low skill)
ci
Assembly I
7.00
7
Assembly II
10.00
8
Low Skill
65
High
35
Ti (low skill)
ci
Ti (High Skill)
Ti (mix)
Assembly I
7.00
7
Assembly II
10.00
8
13
11.05
Ti assembly II =10*(65/100)+13*(35/100) = 11.05
Ti (mix)
8.225
11.05
Theor. Assembly II
9.061
Theor. Unit load
= 11.05*(1-0.18)=9.061
Video Quiz Page 2
11.05
Theor. Assembly II
9.061
Theor. Unit load
= 11.05*(1-0.18)=9.061
Ans. 9.06
Q10. Two vital stages in a production process are assembly I and assembly II.
The unit load for the assembly I stage is
3.0 (50% higher for
high skill) minutes, while it is 2.0 (30% higher for high skill) minutes for assembly II.
Thera are 4 employees working in assembly I and 5
employees working in assembly II.
65% of low skill labor and 35% of high skill labor are required at both stages.
On average 22% of the
operating time is wasted, what's the theoretical capacity?
Ti (low skill)
ci
Assembly I
3.00
4
Assembly II
2.00
5
Low Skill
65
High
35
Ti (low skill)
ci
Ti (High Skill)
Ti (mix)
Assembly I
3.00
4
4.5
3.525
Assembly II
2.00
5
2.6
2.21
Ti mix-assembly I =
3*(65/100)+4.5*(35/100)=3.525
Eff cap. =4/3.525=1.1348
Eff. Cap. Resource pool
1.134752
Eff. Cap.
1.134752
2.262443
Eff. Cap.
Theor. Capacity
1.45
Ans. 1.45
Video Quiz Page 3
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