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A Company Needs to Rebalance a Product Layout for Producing

question 42

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A company needs to rebalance a product layout for producing new plastic license plates. They plan to use the assembly line six hours in order to meet projected demand of 2,160 license plates each day. The following table describes the tasks involved in the production of this product:  Task  Time (secs)   Immediate Predecessor a3 none b4 none c5a,bd7 none e9c,d\begin{array} { l l l } \text { Task } & \text { Time (secs) } & \text { Immediate Predecessor } \\\hline \mathrm { a } & 3 & \text { none } \\\mathrm { b } & 4 & \text { none } \\\mathrm { c } & 5 & \mathrm { a } , \mathrm { b } \\\mathrm { d } & 7 & \text { none } \\\mathrm { e } & 9 & \mathrm { c } , \mathrm { d }\end{array} Without regard to projected demand, what is the minimum possible cycle time for this assembly line?


Definitions:

Capillaries

Tiny blood vessels that connect arterioles and venules, facilitating the exchange of water, oxygen, carbon dioxide, and many other nutrients and waste substances between blood and tissues.

Osmotic Pressure

The pressure required to prevent the flow of a solvent into a solution via osmosis.

Heme

An iron-containing compound that forms an essential component of hemoglobin, allowing it to bind oxygen in the bloodstream.

Iron

A chemical element with the symbol Fe, essential for various biological processes including oxygen transport in hemoglobin.

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