Question

As part of a major plant renovation project, the industrial engineering department has been asked to balance a revised assembly operation to achieve an output of 240 units per eight-hour day. task times and precedence relationships are as follows: taskduration (minutes)immediate predecessor a0.2- b0.4a c0.2b d0.4- e1.2d f1.2c g1.0e, f click here for the excel data file do each of the following: a. determine the minimum cycle time, the maximum cycle time, and the calculated cycle time. (round your answers to 1

A) Min: 2.0, Max: 4.4, Calc: 3.0
B) Min: 1.6, Max: 4.8, Calc: 2.5
C) Min: 2.4, Max: 5.2, Calc: 3.5
D) Min: 2.8, Max: 5.6, Calc: 4.0

Answer 1

The minimum cycle time is 2.0 minutes, the maximum cycle time is 4.4 minutes, and the calculated cycle time is 1.05 seconds per unit.

Step-by-step explanation:

The question is asking to determine the minimum cycle time, maximum cycle time, and calculated cycle time for a revised assembly operation. The task durations and precedence relationships are provided. To determine the minimum cycle time, we find the critical path which is the longest path from the start to the end of the assembly operation. In this case, the critical path is A - B - C - F - G. Adding up the durations of these tasks gives us a minimum cycle time of 2.0 minutes. To determine the maximum cycle time, we find the longest path by considering the longest task duration at each step. In this case, the longest path is A - B - C - F - G. Adding up the durations of these tasks gives us a maximum cycle time of 4.4 minutes. The calculated cycle time is the sum of the task durations divided by the number of units per day. In this case, the sum of the task durations is 0.2 + 0.4 + 0.2 + 1.2 + 1.2 + 1.0 = 4.2 minutes. Dividing this by 240 units per day gives us a calculated cycle time of 0.0175 minutes per unit, which is equivalent to 1.05 seconds per unit.