chapter 8 homework: facility and work design\na. fill in the table below for a shift output of 30 pieces…

chapter 8 homework: facility and work design\na. fill in the table below for a shift output of 30 pieces. break ties by choosing the lowest task number. if your answer is zero, enter \0\. round your answers to the nearest whole number.\nworkstation tasks total time idle time\n1 a, b, d 11 1\n2 -select- 12 0\n3 -select- 6 6\ne, g, c, h \na, d, f 8 4\nb, e, f \nwhat is the assembly - line efficiency? round your answer to one decimal place.\n77.1 %\nb. fill in the table below for a shift output of 24 pieces. break ties by choosing the lowest task number.

chapter 8 homework: facility and work design\na. fill in the table below for a shift output of 30 pieces. break ties by choosing the lowest task number. if your answer is zero, enter \0\. round your answers to the nearest whole number.\nworkstation tasks total time idle time\n1 a, b, d 11 1\n2 -select- 12 0\n3 -select- 6 6\ne, g, c, h \na, d, f 8 4\nb, e, f \nwhat is the assembly - line efficiency? round your answer to one decimal place.\n77.1 %\nb. fill in the table below for a shift output of 24 pieces. break ties by choosing the lowest task number.

Answer

Explanation:

Step1: Identify task - times from the network

From the network, assume task - times are as follows (not given explicitly in the problem but needed for calculation). Let's assume we know the times for each task a, b, c, etc. For example, if task a takes 3 units of time, task b takes 4 units of time, etc.

Step2: Calculate cycle time for 30 pieces

The cycle time (C) for an output of (n = 30) pieces in a shift (assuming a certain shift - length, say (T) total available time in the shift) is (C=\frac{T}{n}). But since we are given the total times for workstations and idle times, we can also work backward. Let's assume the total available time per workstation is 12 units (from the data in the table where workstation 2 has a total time of 12 and idle time of 0).

Step3: Calculate total task time

Sum up the times of all tasks in the entire process. Let's say the sum of all task - times (\sum t_i) is calculated by adding the times of each individual task in the network.

Step4: Calculate assembly - line efficiency for 30 pieces

The assembly - line efficiency (E) is given by the formula (E=\frac{\sum t_i}{n\times C\times k}), where (k) is the number of workstations. Here, (n = 30), (k = 4) (from the number of workstations in the table), and we know (\sum t_i) and (C) from previous steps. Given (E = 77.1%) already, we can verify our approach.

Step5: Repeat for 24 pieces

For an output of (n = 24) pieces, we recalculate the cycle time (C'=\frac{T}{24}). Then we re - assign tasks to workstations based on the precedence relationships in the network, calculate the total time and idle time for each workstation, and then recalculate the assembly - line efficiency using the same formula (E'=\frac{\sum t_i}{n\times C'\times k}).

Answer:

Since the problem is incomplete (task - times for individual tasks are not given explicitly), we cannot fill in the tables for the shift output of 24 pieces precisely. But the general steps for filling the tables are:

  1. Determine the cycle time based on the shift length and number of pieces.
  2. Assign tasks to workstations following the precedence relationships in the network, ensuring that the total time for each workstation does not exceed the cycle time.
  3. Calculate the idle time for each workstation as (C-\text{Total Time}) for that workstation.
  4. Calculate the assembly - line efficiency using the formula (E=\frac{\sum t_i}{n\times C\times k}).