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A Product Requires the Following Tasks to Make It on an Assembly

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A product requires the following tasks to make it on an assembly line. Assume 7.6 hours per workday and 5 workdays per week.  Task  Time (n minutes)  Predecessor(s)  A 10 none  B 14 A  C 12 none  D 8 none  E 11 C  F 17 C, D  G 20 B  H 9 E  I 13 D  J 15 G, H  K 17 H, I  L 8 J  M 10 I  N 15 K, L, M \begin{array}{crc}\text { Task } & \text { Time (n minutes) } & \text { Predecessor(s) } \\\text { A } & 10 & \text { none } \\\text { B } & 14 & \text { A } \\\text { C } & 12 & \text { none } \\\text { D } & 8 & \text { none } \\\text { E } & 11 & \text { C } \\\text { F } & 17 & \text { C, D } \\\text { G } & 20 & \text { B } \\\text { H } & 9 & \text { E } \\\text { I } & 13 & \text { D } \\\text { J } & 15 & \text { G, H } \\\text { K } & 17 & \text { H, I } \\\text { L } & 8 & \text { J } \\\text { M } & 10 & \text { I } \\\text { N } & 15 & \text { K, L, M }\end{array}
a.Using only the information given, what would be the maximum output per day that can be achieved?
b.Assume that the activities have been assigned to five workstations. What is the line efficiency for a cycle time of 40 seconds?


Definitions:

One-Tailed Test

A directional test, reflecting a directional hypothesis.

Two-Tailed Test

A nondirectional test, reflecting a nondirectional hypothesis.

Null Hypothesis

A statement in statistics that there is no effect or no difference, serving as the starting point for hypothesis testing.

One-Tailed Hypothesis

A directional hypothesis that specifies an expected direction of the effect or relationship between variables.

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