11. Below is a space-filling curve and a flow matrix (with department areas in square feet]. Assume each grid is 10ft x 10ft. Use the initial layout vector of A,_B_,C,D,E,F (16 Points) /' Flow Between IIIIIII EIIIIIII EIIIIIII An Excel file is provided as a template to get started on the following tasks. (a) Find the centroids, distance matrix, and cost of the initial layout. (b) Perform iteration 1 by checking each possible pair-wise exchange of departments in the layout vector. Check the exchanges in the appropriate order according to the MULTIPLE flow chart in the notes. For each of the exchanges, find the new layout and cost of each exchange. You should be able to copy and paste much of the work in Excel, changing your centroids only for each exchange. (c) At the end of iteration 1, what is the layout vector and cost to begin iteration 2? You do not need to complete iteration 2, but note the chosen layout and associated cost. R18 4 X V fx A B C D E G H K L M N 0 P R U V W Flow-Between SF A B C D m 400 A 7 0 OUT T 800 0 ooonon mm mm T T mm mm T T ooonon 600 I OONO 600 0 00 m DO 800 D 400