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

question 104

Multiple Choice

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: $\begin{array}{l}\text { Distances (meters) } \quad\quad\quad\quad\quad\quad \text { Flows (loads per week }\\\begin{array}{rlll}\text { From/To } & \text { I } & \text { II } & \text { III } \\\hline \text { I } & - & 10 & 20 \\\text { II } & & - & 10 \\\text { III } & & & -\end{array}\quad\quad\begin{array}{rlll}\text { From/To } & \mathrm{X} & \mathrm{Y} & \mathrm{Z} \\\hline \mathrm{X} & - & 0 & 80 \\\mathrm{Y} & 30 & - & 150 \\\mathrm{Z} & 100 & 130 & -\end{array}\end{array}$ What is the total flow (loads per week) between department Y and department Z?

• A) 130
• B) 150
• C) 180
• D) 230
• E) 280

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Definitions:

Larynx

The larynx, also known as the voice box, is an organ in the top of the neck involved in breathing, producing sound, and protecting the trachea against food aspiration.

Vocal Cords

Paired bands of muscle tissue in the larynx that vibrate to produce sound for speech.

Alveoli

Tiny air sacs in the lungs where the exchange of oxygen and carbon dioxide takes place, essential for respiration.