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An Assembly Line to Be Balanced Has Six Tasks in Precedence.The

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An assembly line to be balanced has six tasks in precedence.The task times are shown in the following table.Based on demand forecasts,the output rate has to be 160 units per day.The line operates 8 hours a day.Compute the task sequence using the most-following-tasks rule.

 Tasks  Immediate Predecessor  Task Time in  Minutes A NONE 3BA1CA2DB,C3EC3FD,E2\begin{array} { | l | l | l | } \hline \text { Tasks } & \text { Immediate Predecessor } & \begin{array} { l } \text { Task Time in } \\\text { Minutes }\end{array} \\\hline \mathrm { A } & \text { NONE } & 3 \\\hline \mathrm { B } & \mathrm { A } & 1 \\\hline \mathrm { C } & \mathrm { A } & 2 \\\hline \mathrm { D } & \mathrm { B } , \mathrm { C } & 3 \\\hline \mathrm { E } & \mathrm { C } & 3 \\\hline \mathrm { F } & \mathrm { D } , \mathrm { E } & 2 \\\hline\end{array}


Definitions:

Degrees of Freedom

The number of independent pieces of information available to estimate another piece of information or the parameter in a model.

Number

An arithmetic value that represents a particular quantity and is used in counting and making calculations.

Degrees of Freedom

The number of independent values or quantities which can be assigned to a statistical distribution or to a mechanism, minus the number of parameters that constrain these values.

Student t Distribution

A probability distribution that is used to estimate population parameters when the sample size is small and the population variance is unknown.

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