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4.6 YOGGO SOFT DRINK
a. The bottling machine capacity is 1 bottle(s)/second
The Lid Machine capacity: 0.333 bottles/sec
Two Labeling Machines capacity: 10/25 = 0.4 bottles/sec
The Process Capacity is therefore going to be 0.25 bottles/sec
0.25 * 3600 = 900 bottles/hour
b. The Packaging machine
c. It has no direct effect on the capacity since it is not the bottleneck.
d. Process capacity = 90 boxer/hour.
Implied Utilization = process capacity/demand rate = 0.666 = 66%
4.7 ATLAS INC.
a) The bottleneck is the worker with the highest activity time (across all activities). Which in this case is worker 2: 35 +25 = 60 seconds
b) Capacity of the line is determined by the activity time of the bottleneck step. In this case, Capacity is 1/60 = 60 units/hour
c) Utilization is provided via Flow Rate/Capacity. Therefore, Utilization = 45 seconds / 60 seconds = 75%
d) Since we are facing an empty system, the first unit would take (50 + 60 + 30 + 45 + 40) = 225 seconds to go through the entire system. Therefore, the flow time is 225 + (100-1)*60 = 102.75 minutes
e) Labor Utilization is provided through Labor Content/(Labor Content + Idle Time). Total labor content is (50 + 60 + 30 + 45 + 40) = 225 seconds. Idle time for each worker can be calculated as Activity time of the Bottleneck – Activity Time of a Worker. Therefore, Labor Utilization = 225(225 +10 +30 + 15 + 20) = 75%
f) Direct Labor Cost = Labor Cost per Hour/Flow Rate = (5)($15/60) = $1.25/unit
g) There are multiple methods to minimize completion time. However, all of these times, the bottle neck is 55 seconds. Therefore the maximum achievable capacity is 1/55 sec = 65.5 units/hour
h) Direct Labor Cost = (30 + 20 + 35 + 25 + 30 + 45 + 40 ) sec * $15/hour = $0.9375/unit
i) The Bottleneck worker is Worker 3, and the process capacity is found through 1/75 sec = 48 units/hour.
4.9 Worker Paced Line
a. Step 4 is the bottleneck and has a process capacity that is equal to the capacity of the entire
a. The bottling machine capacity is 1 bottle(s)/second
The Lid Machine capacity: 0.333 bottles/sec
Two Labeling Machines capacity: 10/25 = 0.4 bottles/sec
The Process Capacity is therefore going to be 0.25 bottles/sec
0.25 * 3600 = 900 bottles/hour
b. The Packaging machine
c. It has no direct effect on the capacity since it is not the bottleneck.
d. Process capacity = 90 boxer/hour.
Implied Utilization = process capacity/demand rate = 0.666 = 66%
4.7 ATLAS INC.
a) The bottleneck is the worker with the highest activity time (across all activities). Which in this case is worker 2: 35 +25 = 60 seconds
b) Capacity of the line is determined by the activity time of the bottleneck step. In this case, Capacity is 1/60 = 60 units/hour
c) Utilization is provided via Flow Rate/Capacity. Therefore, Utilization = 45 seconds / 60 seconds = 75%
d) Since we are facing an empty system, the first unit would take (50 + 60 + 30 + 45 + 40) = 225 seconds to go through the entire system. Therefore, the flow time is 225 + (100-1)*60 = 102.75 minutes
e) Labor Utilization is provided through Labor Content/(Labor Content + Idle Time). Total labor content is (50 + 60 + 30 + 45 + 40) = 225 seconds. Idle time for each worker can be calculated as Activity time of the Bottleneck – Activity Time of a Worker. Therefore, Labor Utilization = 225(225 +10 +30 + 15 + 20) = 75%
f) Direct Labor Cost = Labor Cost per Hour/Flow Rate = (5)($15/60) = $1.25/unit
g) There are multiple methods to minimize completion time. However, all of these times, the bottle neck is 55 seconds. Therefore the maximum achievable capacity is 1/55 sec = 65.5 units/hour
h) Direct Labor Cost = (30 + 20 + 35 + 25 + 30 + 45 + 40 ) sec * $15/hour = $0.9375/unit
i) The Bottleneck worker is Worker 3, and the process capacity is found through 1/75 sec = 48 units/hour.
4.9 Worker Paced Line
a. Step 4 is the bottleneck and has a process capacity that is equal to the capacity of the entire