In an assembly plant, material handling between departments is performed using a uni$-$directional closed$-$loop conveyor. The figure below shows the layout for the modularDistance between P$/$DsFromToDistanceP$/$D $1$P$/$D $260$

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P$/$D $2$P$/$D $390$

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P$/$D $3$P$/$D $430$

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P$/$D $4$P$/$D $590$

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P$/$D $5$P$/$D $160$

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Pallet Flow per Day From$/$To ABCDE A$005030$B$1002500$C$255000$D$00000$E$520500$facility, which consists of three equal$-$sized assembly modules $($A$,$ B$,$ and C$),$ one admin$-$istrative module $($D$),$ and one warehouse module $($E$).$ P$/$D points for each module arealso shown in the figure. The administrative and warehouse activities are not to bemoved; however, assembly areas A$,$ B$,$ C can be relocated. The distance between P$/$Dpoints and the number of pallet loads moved between departments are given below.