With the Backyard Poultry Craze Unleashing a Tidal Wave of Municipal

question 63

Essay

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?

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Definitions:

Thomas Dorsey

Often regarded as the "Father of Gospel Music," he was an American musician who combined Christian praise with the rhythms and styles of blues and jazz.

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A famous gospel hymn written by Thomas A. Dorsey, often associated with African American religious and cultural expressions.

Black Leftist

An individual or group part of the political left advocating for social justice, particularly concerning racial equality and rights for black communities.

Cyril Briggs

An African-Caribbean American writer and a leader in the New Negro Movement and the African Blood Brotherhood.