Math Solutions

[Solution] Richard Garber is the head designer for Matthews and Novak Design Company. Garber has been called in to design the layout for a newly constructed

Question: Richard Garber is the head designer for Matthews and Novak Design Company. Garber has been called in to design the layout for a newly constructed office building. From statistical samplings over the past 3 months, Garber developed the closeness matrix shown for daily trips between department’s offices.

Closeness Matrix
Trips Between Departments
Department A B C D E F
A - 25 90 185
B - 105
C - 125 125
D - 25
E - 105
F -
  1. If other factors are equal, which offices should be located closest together?
  2. The following figure shows an alternative layout for the department. What is the total weighted-distance score for this plan based on rectilinear distance and assuming that offices A and B are three units of distance apart?
    C F A
    B E D
  3. Swapping which two departments will most improve the total weighted-distance score?

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