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Problem Set $4$

$-$Note: You will find the Example videos in the module very helpful in answering these questions.

Please type in the space provided.

Question $1.$ An assembly line with $8$ tasks is to be balanced. The longest task is $12$ minutes,

and the total time for all tasks is $48$ minutes. The line will operate for $480$ minutes per day.

Round up your answers to the nearest whole number $(40$ points, $10$ points each$).$ See

Lecture M$4-2$ for details.

Question $2.$ A manager wants to assign tasks to workstations as efficiently as possible. Part A:

Using the following precedence diagram to complete the table with # of following task,

positional weight for nodes g$,$h and i and Time $($Time is in minutes$).($Part A: $45$ points, $5$ points

each$)$

B$.$ What is the total time for all tasks? $(5$ points$)$

C$.$ If the line operates $480$ minutes a day, what is the maximum output, round your answer

down to the nearest whole number. $(10$ points$)?$