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The Following Information Relates to Lancashire Manufacturing: to Produce a Unit

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The following information relates to Lancashire Manufacturing: To produce a unit of product:  Mixing dep artment 3 minutes per unit  Colding department 5 minutes per unit  Casting department 7 minutes per unit  Finishing department 4 minutes per unit \begin{array}{ll}\text { Mixing dep artment } & 3 \text { minutes per unit } \\\text { Colding department } & 5 \text { minutes per unit } \\\text { Casting department } & 7 \text { minutes per unit } \\\text { Finishing department } & 4 \text { minutes per unit }\end{array} There is a wait time of 8 minutes before the mixing department begins a batch, 5 minutes between the mixing and molding departments, a move and pre-wait between molding and casting of 10 minutes, and a move and pre-wait between the casting and finishing departments of 12 minutes.
How long would it take to process the first unit of a 20-unit batch under a cellular manufacturing setup?


Definitions:

Dampening

The process of reducing the amplitude or intensity of fluctuations or oscillations in a system or signal.

Amplification

In context, refers to the increase in signal strength or the magnification of the effects or significance of something.

Smoothing

A technique used to remove variability or fluctuations in data or a process, often to reveal underlying trends.

Bullwhip Effect

A phenomenon in supply chain management where small variations in demand at the retail level cause increasingly larger variations in demand at the wholesale, distributor, and manufacturer levels.

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