Consider a process consisting of five resources that are operated eight hours pe
ID: 417803 • Letter: C
Question
Consider a process consisting of five resources that are operated eight hours per day. The process works on three different products, A, B, and C: Answer is not complete Number Processing Processing time for B Processing time for C Resource time for A workers (minutes)(minutes) (minutes) 2 15 2 6 4 Demand for the three different products is as follows: product A, 40 units per day; product B, 50 units per day; and product C, 60 units per day a. What is the bottleneck? Resource Resource Resource Resource 4 Resource What is the flow rate for Flow A assuming that demand must be served in the mix described above (i.e., for every four units of A, there are five units of B and six units of C)? units per day What is the flow rate for Flow B assuming that demand must be served in the mix described above (i.e., for every four units of A, there are five units of B and six units of C)? units per day What is the flow rate for Flow C assuming that demand must be served in the mix described above (i.e., for every four units of A, there are five units of B and six units of C)? units per dayExplanation / Answer
Capacity Available (mins.) = no. of workers x 8 hours x 60 minutes
Processing Time (mins)
Resource
No. of workers
A
B
C
Capacity Available (mins.)
1
2
5
5
5
2 x 8 x 60
= 960
2
2
4
4
5
960
3
1
15
0
0
480
4
1
0
3
3
480
5
2
6
6
4
960
Demand
40
50
60
Workload products on resources calculation:
Workload = processing time x demand
Workstation
A
B
C
Total Workload
Capacity Available
Unused Capacity
(Capacity – total workload)
1
200
250
300
750
960
210
2
160
200
300
660
960
300
3
600
0
0
600
480
-120
4
0
150
180
330
480
150
5
240
300
240
780
960
180
With current demand level, the resource 3 is bottleneck resource, since workload is more than capacity available
Only product A is processed on resource 3, the flow rate of A is controlled by resource 3. Thus, maximum (480/15)* = 32 units of A can be processed on bottleneck resource 3.
(*Available capacity on resource/processing time = flow rate of product)
Thus, by ratio of 4:5:6, flow rate for product B = (32)(5/4) = 40 units
By ratio of 4:5:6, flow rate for product C = (32)(6/4) = 48 units
ANS:
A: resource 3
B: Product A = 32 units
C: Product B = 40 units
D: Product C = 48 units
Processing Time (mins)
Resource
No. of workers
A
B
C
Capacity Available (mins.)
1
2
5
5
5
2 x 8 x 60
= 960
2
2
4
4
5
960
3
1
15
0
0
480
4
1
0
3
3
480
5
2
6
6
4
960
Demand
40
50
60
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