Use a Graphing Device to Draw the Graph of the Function

question 10

Essay

Use a graphing device to draw the graph of the function $f ( x ) = 144 x ^ { 3 } - 144 x ^ { 2 } + 36 x$ . State approximately the intervals on which the function is increasing and on which the function is decreasing.

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Definitions:

Level Schedules

Production planning method that maintains a consistent output rate or workforce level, avoiding fluctuations in response to changing demand.

Shigeo Shingo

A Japanese industrial engineer known for his influential work in the Toyota Production System and the development of lean manufacturing principles.

Inventory Is Evil

A principle in lean manufacturing and just-in-time (JIT) production that highlights the drawbacks of holding excess inventory, including high costs and potential wastage.

Setup Cost

A financial amount charged for the initial work to configure, prepare, or adjust machinery or equipment for a production run.