The Sun River beverage company is a regional producer of teas, exotic juices, an
ID: 396819 • 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.
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.)
Efficiency %
Explanation / Answer
Total task Time calculation:
TASK
PERFORMANCE TIME (MINUTES)
TASK MUST FOLLOW
1
0.1
—
2
0.3
1
3
0.3
2
4
0.3
2
5
0.1
2
6
0.2
3, 4, 5
7
0.3
1
8
0.1
7
9
0.2
8
10
0.3
9
11
0.2
6
12
0.3
10, 11
13
0.1
12
Total task Time
2.8
Time available per week = 5 days * 5 hours *60 minutes =1500 minutes
Units required (demand per week) = 2,140 bottles per week
Cycle Time = Production time available per week/ Units required per week
= 1500 minutes / 2,140 units = 0.701 minutes per unit
The cycle time is 0.701 minutes per unit.
Therefore,
The theoretical number of workstations = Total time or sum of required for all the task / cycle time
= 2.8 minutes / 0.701 minutes = 3.99 or 4 workstations (next whole number)
The line balancing table by using longest task time rule (also have to maintain precedence and not exceeding cycle time) –
Workstation (cycle time= 0.701 minutes)
Tasks in order
Workstation Time (minutes)
Idle time (minutes)
1
1,2,7
0.1+0.3+0.3=0.70
0.001
2
3, 4,5
0.3+0.3+0.1=0.70
0.001
3
6,8,9,11
0.2+0.1+0.2+0.2=0.70
0.001
4
10,12,13
0.3+0.3+0.1=0.70
0.001
Efficiency = Total task time / (Number of Workstations * cycle time)
= 2.8 / (4 * 0.701)
= 0.9987 or 99.87% = 100% (Rounding off to the nearest whole percent)
TASK
PERFORMANCE TIME (MINUTES)
TASK MUST FOLLOW
1
0.1
—
2
0.3
1
3
0.3
2
4
0.3
2
5
0.1
2
6
0.2
3, 4, 5
7
0.3
1
8
0.1
7
9
0.2
8
10
0.3
9
11
0.2
6
12
0.3
10, 11
13
0.1
12
Total task Time
2.8
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