Six assembly cells $($each $35m35m)$ are to be located in an area that will configure into a $2$ cell $3$ cell facility. The cost of material handling is directly proportional to the distance traveled from centroid to centroid. The following material flow data is given.

$\backslash$table$[[$cell$,$C $1,$C $2,$C $3,$C $4,$C $5,$C $6],[$C $1,-,150,,300,0,50],[$C $2,,-,50,0,10,80],[$C $3,,,-,150,100,30],[$C $4,,,,-,40,0],[$C $5,,,,,-,100],[$C $6,,,,,,-]]$

If the current cell layout is shown in the figure below, what would be the impact on the total material handling flow if C $2$ and C $4$ were to exchange positions?

$\backslash$table$[[$C $1,$C $3,$C $4],[$C $6,$C $5,$C $2]]$

$($A$)-1200($decrease$)$

$($B$)0($no change$)$

$($C$)2000($increase$)$

$($D$)3600($increase$)$How to solve