$($a$)$ The desired cycle time $\backslash (=5\mathrm{.}0\backslash$mathrm$\{$~min$\}\backslash ).$ to meet the required demand. Uptime efficiency is estimated to be $0\mathrm{.}95.$ What is the theoretical minimum number of workstations under the assumption that there will be one worker per station? Round your answer appropriately.

$($b$)$ If the repositioning time is $0\mathrm{.}5$ min $,$ apply largest candidate rule to assign work elements to stations and balance the line.

$($c$)$ Compute the balance efficiency for your solution in b$.$