The desired output for an assembly line is 600 units. This assembly line will operate 650 minutes per day. The following table contains information on this product’s task lines and precedence relation

The required workstation cycle time to meet the desired output rate is 65 seconds per unit. To calculate the workstation cycle time, we can use the formula: Workstation cycle time = Total task time / Desired output rate First, we need to calculate the total task time. We can do this by adding up the task times for all tasks in the line: A: 35 seconds B: 25 seconds C: 40 seconds D: 5 seconds E: 50 seconds F: 15 seconds G: 10 seconds H: 10 seconds Total task time = 35 + 25 + 40 + 5 + 50 + 15 + 10 + 10 = 190 seconds Next, we need to convert the desired output rate of 600 units per day to units per minute, since the line operates for 650 minutes per day: Desired output rate = 600 units / 650 minutes = 0.923 units per minute Finally, we can calculate the workstation cycle time: Workstation cycle time = Total task time / Desired output rate = 190 seconds / 0.923 units per minute = 65 seconds per unit So the required workstation cycle time to meet the desired output rate is 65 seconds per unit. To balance the line, we need to assign tasks to workstations in such a way that the workload is evenly distributed and each workstation is fully utilized. One possible way to balance the line using the largest number of following tasks and the longest task time as a secondary criterion is: Work Station I: A, D, F Work Station II: B, E Work Station III: C, G Work Station IV: H This allocation ensures that each workstation has a similar amount of work to do and that each task is assigned to the workstation where it can be completed most efficiently. To calculate the efficiency of the line balance, we can use the formula: Efficiency = (Total task time / (Number of workstations x Workstation cycle time)) x 100% We already calculated the total task time and the workstation cycle time. The number of workstations in this allocation is 4. Efficiency = (190 seconds / (4 x 65 seconds per unit)) x 100% = 73.08% So the efficiency of the line balance, assuming it is running at the cycle time determined above, is 73.08%.