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Use This Scenario for the Following Question(s) -Refer to the Scenario Above

question 29

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Use this scenario for the following question(s) .
The process design team at a manufacturer has broken an assembly process into eight basic steps, each with a required time, and predecessor as shown in the table. There are 7.5 productive hours available in a day and the manufacturer wishes to produce 400 units. Balance the line by assigning tasks to workstations to fill up as much takt time as possible. Break ties by assigning the longest task first.
 Task  Time (sec)  Predecessor  A 45 B 50 A  C 20 A  D 55 A  E 15 D  F 65 D  G 25 E  H 35 B, C, F, G \begin{array} { | c | c | c | } \hline \text { Task } & \text { Time } ( \mathrm { sec } ) & \text { Predecessor } \\\hline \text { A } & 45 & \cdots \\\hline \text { B } & 50 & \text { A } \\\hline \text { C } & 20 & \text { A } \\\hline \text { D } & 55 & \text { A } \\\hline \text { E } & 15 & \text { D } \\\hline \text { F } & 65 & \text { D } \\\hline \text { G } & 25 & \text { E } \\\hline \text { H } & 35 & \text { B, C, F, G } \\\hline\end{array}
-Refer to the scenario above. How many workstations must be added to increase the output rate to one unit per minute?


Definitions:

Degrees of Freedom

The tally of individual figures or quantities which might be designated to a statistical distribution.

F-value

A value used in statistical testing to determine if the variances between two populations are significantly different, often arising in ANOVA (analysis of variance) settings.

Analysis of Variance

A statistical method used to compare the means of three or more samples, to determine if at least one of the sample means significantly differs from the others.

Unequal Variance

A condition in statistical analysis where the variability among data sets being compared is not the same.

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