PPL, Inc. produces high-quality but expensive training shoes for runners. Manufacturing the shoes requires ten separate tasks. There are 400 minutes available for manufacturing the shoes in the plant daily. Daily demand is 60. The information for tasks is as follows:

a) What is the theoretical workstation cycle time?

b) Balance the line by using the Ranked positional weight. And use longest operation time as a secondary criterion. Finally, write the sequence of each task in each workstation.

c) What is the efficiency of your line balance? What is the total idle time?

d) which Workstation(s) is(are) the bottleneck of the system?

\begin{tabular}{|c|c|c|c|c|c|} \hline Task & Task Time (min) & Immediate Predecessor & Task & Task Time (min) & Immediate Predecessor \\ \hline A & 1 & & F & 3 & A \\ \hline B & 4 & A & G & 2 & F \\ \hline C & 2 & B & H & 5 & G \\ \hline D & 4 & B & I & 1 & E,II \\ \hline E & 1 & C,D & J & 3 & I \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|} \hline Task & Task Time (min) & Immediate Predecessor & Task & Task Time (min) & Immediate Predecessor \\ \hline A & 1 & & F & 3 & A \\ \hline B & 4 & A & G & 2 & F \\ \hline C & 2 & B & H & 5 & G \\ \hline D & 4 & B & I & 1 & E,II \\ \hline E & 1 & C,D & J & 3 & I \\ \hline \end{tabular}