Problem 1 (10 Marks) Use the activities and precedence relations in the following table to do the following

a. Draw a precedence diagram for this assembly line. (Marks: 2)

b. Balance the assembly line for an eight-hour-shift output of 30 pieces. (Marks: 5)

c. Calculate the efficiency, idle time and balance delay. (Marks: 3)

\begin{tabular}{|c|c|c|} \hline Activity & Predecessors & Time per piece (min.) \\ \hline A & none & 7 \\ \hline B & none & 2 \\ \hline C & A & 6 \\ \hline D & A & 10 \\ \hline E & B & 3 \\ \hline F & B & 2 \\ \hline G & D, E & 12 \\ \hline H & C & 2 \\ \hline I & F & 3 \\ \hline J & H, G, I & 9 \\ \hline \end{tabular}