Use the spatial schematic given in problem $3\mathrm{.}14$ but do not answer parts a to d that are given in the text; rather, consider

a$.$ Find the flow path length for part $1$ with routing A$-$C$-$E$-$D$-$F

b$.$ Find the flow path length for part $2$ with routing B$-$F$-$C$-$D$-$F

c$.$ Let there be two more parts made in this facility $-$ part $3$ with routing A$-$E$-$F$-$D and part $4$ with routing B$-$E$-$C$-$E$-$F$.$ Assuming that you only make parts $1$ to $4$ in this facility, if you could change the locations of work areas A to F but had to keep them in a line how would you reorder them? Justify your answer. Assume that if you change the order of the work areas the distance from the first location to the second location remains the same $(100$ ft$)$ and similarly for the other locations. For example, if you choose to put C in the first position and D in the second position then the distance from C to D would be $100$ft$.$ Is there further information that you would want to know prior to reordering departments A to F$?$ If so$,$ what is it$?$