For the Following Assembly Line Data, Balance the Line for an Output

Essay

For the following assembly line data, balance the line for an output of 30 units in a 7.5 hour shift. Use the "longest task time first" rule.
$\begin{array}{ccc}\text { Task } & \text { Time in minutes) } & \text { Predecessors } \\\hline \text { A } & 8 & \text { none } \\\text { B } & 1 & \text { none } \\\text { C } & 2 & \text { none } \\\text { D } & 3 & \text { A, B } \\\text { E } & 3 & \text { B, C } \\\text { F } & 2 & \text { D } \\\text { G } & 9 & \text { E } \\\text { H } & 6 & \text { E } \\\text { I } & 7 & \text { F, G } \\\text { J } & 1 & \text { H } \\\text { K } & \underline{3} & \text { I, J }\\\text{Total}&45\end{array}$