able below defines the precedence relationships and work element times for a small electronic product on a single-model assembly line. The line is to be balanced for an annual demand of \(110,000\mathrm{units}/\mathrm{yr}\). The line will operate \(50\mathrm{wk}/\mathrm{yr},6\mathrm{shifts}/\mathrm{wk}\), and \(8\mathrm{hr}/\mathrm{shift}\). There will be one worker per station. Previous experience suggests that the uptime efficiency for the line will be \(96\%\), and repositioning time lost per cycle will be 0.25 min .\begin{tabular}{|l|l|l|}\hline Work Element & \(\mathrm{T}_{\text {ek }}\)(min) & Immediate Predecessors \\\hline 1 & 0.45 & -\\\hline 2 & 0.55 & -\\\hline 3 & 0.1 & 1,2\\\hline 4 & 0.7 & 2\\\hline 5 & 0.3 & 3,4\\\hline 6 & 0.6 & 4\\\hline 7 & 0.4 & 5\\\hline 8 & 0.5 & 6,7\\\hline 9 & 0.35 & 8\\\hline 10 & 0.2 & 7,9\\\hline \end{tabular}(a) Construct the precedence diagram for this job based on the given precedence relationships. (b) Use the largest candidate rule to assign work elements to stations. Then find the balance efficiency.