The manufacturing process for producing a widget has five steps and each step in the process takes one day. What is the average number of days needed to manufacture each widget using a pipelined process to produce 10 widgets?
Question
The manufacturing process for producing a widget has five steps and each step in the process takes one day. What is the average number of days needed to manufacture each widget using a pipelined process to produce 10 widgets?
Solution
In a pipelined manufacturing process, once the first step of the process is completed for the first widget, it can immediately move on to the second step, while the first step begins for the second widget. This means that after the initial "ramp up" of the pipeline, a new widget can be completed at the end of each day.
So, for the first widget, it will take 5 days (one day for each step). However, for the next 9 widgets, since the process is pipelined, each one will be completed at the end of each subsequent day.
Therefore, to produce 10 widgets, it will take 5 days for the first widget + 9 days for the next 9 widgets = 14 days total.
To find the average number of days needed to manufacture each widget, you would divide the total number of days by the number of widgets. So, 14 days / 10 widgets = 1.4 days per widget on average.
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