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A Company Needs to Locate Three Departments (X, Y, and Z)

question 125

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A company needs to locate three departments (X, Y, and Z) in the three areas (I, II, and III) of a new facility. They want to minimize interdepartmental transportation costs, which are expected to be $.50 per load meter moved. An analyst has prepared the following flow and distance matrices:  Distances (meters)   Flows (loads per week  From/To  I  II  III  I 1020 II 10 III  From/To XYZX080Y30150Z100130\begin{array}{l}\text { Distances (meters) } \quad\quad\quad\quad\quad\quad \text { Flows (loads per week }\\\begin{array}{rlll}\text { From/To } & \text { I } & \text { II } & \text { III } \\\hline \text { I } & - & 10 & 20 \\\text { II } & & - & 10 \\\text { III } & & & -\end{array}\quad\quad\begin{array}{rlll}\text { From/To } & \mathrm{X} & \mathrm{Y} & \mathrm{Z} \\\hline \mathrm{X} & - & 0 & 80 \\\mathrm{Y} & 30 & - & 150 \\\mathrm{Z} & 100 & 130 & -\end{array}\end{array} What are total weekly costs for an optimum layout?


Definitions:

Pressure Ulcer Formation

The development of injuries to skin and underlying tissue resulting from prolonged pressure on the skin.

Shear

A force that causes layers of material to slide past one another in opposite directions.

Friction

The friction experienced by one object or surface as it moves across another.

Serosanguineous Drainage

A type of wound discharge that is pale, red, and contains both clear serous fluid and red, bloody fluid.

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