The table below defines the precedence relationships and element times for a new model toy. $($a$)$ Construct the precedence diagram for this job. $($b$)$ If the ideal cycle time $=1\mathrm{.}1$ min. repositioning time $=0\mathrm{.}1$ min, and uptime proportion is assumed to be $1\mathrm{.}0,$ what is the theo$-$ retical minimum number of workstations required to minimize the balance delay under the assumption that there will be one worker per station? $($c$)$ Use the largest candidate rule to assign work elements to stations. $($d$)$ Compute the balance delay for your solution.