The Sun River beverage company is a regional producer of teas, exotic juices, an
ID: 399706 • Letter: T
Question
The Sun River beverage company is a regional producer of teas, exotic juices, and energy drinks. With an interest in healthier lifestyles, there has been an increase in demand for their sugar-free formulation The final packing operation requires 13 tasks. Sun River bottles their sugar-free product 5 hours a day, 5 days a week. Each week, there is a demand for 2,140 bottles of this product. PERFORMANCE TASK MUST TASK TIME (MINUTES) FOLLOW 0.1 0.3 0.2 0.2 0.3 3, 4, 5 0.2 0.2 0.2 0.1 0.2 0.3 0.3 10 12 13 10, 11 12 Using the above data, solve the assembly-line balancing problem and calculate the efficiency of your solution. Use the longest task time for your decision criteria. (Round your answer to the nearest whole percent.) EfficiencyExplanation / Answer
Answer: Efficiency = 96.5%
Step 1: list all elements in decreasing order of task time
Task
Time
Task must follow
Task decreasing order
Time
1
0.1
-
2
0.3
2
0.3
1
5
0.3
3
0.2
2
12
0.3
4
0.2
2
13
0.3
5
0.3
2
3
0.2
6
0.1
3,4,5
4
0.2
7
0.2
1
7
0.2
8
0.2
7
8
0.2
9
0.2
8
9
0.2
10
0.1
9
11
0.2
11
0.2
6
1
0.1
12
0.3
10,11
6
0.1
13
0.3
12
10
0.1
total
2.7
Step 2: starting from beginning of the list assign elements to workstation, Check whether any work station does not exceed the required cycle time
Cycle time= total time / demand = 5 days*5 hours*60 /2140 = 0.7 minutes per bottle
Minimum no. of work station = total task time/ cycle time = 2.7/0.7 =3.85 ~~ 4
Workstation 1: task 1 + task 2 + task 5 = 0.3 + 0.3 + 0.1 = 0.7,
Workstation 2: task 3 + task 4 + task 7 + task 6= 0.2 + 0.2 + 0.2 +0.1= 0.7
Workstation 3: task 8 + task 9 + task 11 + task 10= 0.2 + 0.2 + 0.2 +0.1= 0.7
Workstation 4: task 12 + task 13 = 0.3 + 0.3= 0.6
Step 3: Calculate efficiency
Balanced delay = no. of workstation*cycle time – total task time/ no. of workstation* cycle time =4*0.7- 2.7/2.8= 0.1/2.8 =0.035 ie 3.5%
Efficiency = 1- balanced delay =1-0.035= 96.5%
Task
Time
Task must follow
Task decreasing order
Time
1
0.1
-
2
0.3
2
0.3
1
5
0.3
3
0.2
2
12
0.3
4
0.2
2
13
0.3
5
0.3
2
3
0.2
6
0.1
3,4,5
4
0.2
7
0.2
1
7
0.2
8
0.2
7
8
0.2
9
0.2
8
9
0.2
10
0.1
9
11
0.2
11
0.2
6
1
0.1
12
0.3
10,11
6
0.1
13
0.3
12
10
0.1
total
2.7
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