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

question 105

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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 per meter moved. An analyst has prepared the following distances and flow matrices:  Distances (meters)   Flows (loads per week  From/To  I  II  III  I 1020 II 10 III  From/To XYZX6090Y40160Z110140\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} & - & 60 & 90 \\\mathrm{Y} & 40 & - & 160 \\\mathrm{Z} & 110 & 140 & -\end{array}\end{array} What are total weekly costs for the least costly process layout?


Definitions:

LH

Luteinizing hormone, a hormone produced by the anterior pituitary gland that plays a key role in regulating the reproductive system.

Hormones

are chemical messengers produced by endocrine glands, which regulate various physiological processes and behaviors throughout the body.

Regulatory System

A set of interconnected components designed to monitor and adjust a system's performance to maintain its stability or homeostasis.

Chemical Secretions

Chemical secretions refer to substances produced and released by cells or glands, which can serve various functions such as signaling, protection, or digestion.

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