Problem $1.$ Consider the following facility with $5$ departments and the flow data as given in the matrix. Explain the steps CRAFT would take with the following initial layout and the flow matrix. a$)$ Determine current total flow cost. b$)$ List all possible exchanges that CRAFT would consider; make an exchange between C and D and calculate new cost. c$)$ Assume the above layout has $4$ bands of $2$ grids wide with grids of $\backslash (10\backslash$times $10\backslash$mathrm$\{$~m$\}\backslash )$ and a layout vector of A$-$B$-$C$-$D$-$E$.$ Use the MICROCRAFT to fill out the layout.