With the Backyard Poultry Craze Unleashing a Tidal Wave of Municipal

With the backyard poultry craze unleashing a tidal wave of municipal code proposals, Chickenverks is poised to capitalize on the sudden demand for chicken tractors. The portable henhouses they have designed can be assembled in 10 basic steps, each with a required time and predecessor as shown in the table. There are 8 productive hours available in a day and the manufacturer wishes to produce 40 units per hour.
$$\begin{array} { | c | c | c | } \hline \text { Task } & \text { Time } ( \mathrm { sec } ) & \text { Predecessor } \\\hline \mathrm { A } & 25 & \cdots \\\hline \mathrm { B } & 35 & \mathrm {~A} \\\hline \mathrm { C } & 20 & \mathrm {~A} \\\hline \mathrm { D } & 55 & \mathrm {~B} \\\hline \mathrm { E } & 45 & \mathrm { C } , \mathrm { D } \\\hline \mathrm { F } & 15 & \mathrm {~B} \\\hline \mathrm { G } & 35 & \mathrm { C } \\\hline \mathrm { H } & 40 & \mathrm { D } , \mathrm { E } \\\hline \mathrm { J } & 25 & \mathrm {~F} , \mathrm { G } \\\hline \mathrm { K } & 30 & \mathrm { H } , \mathrm { J } \\\hline\end{array}$$ Balance the line according to the longest operation rule and calculate the percent idle time. Using the same arrangement of tasks at work stations, what is the greatest output that can be achieved in an eight-hour day and what is the percent idle time of this design?