ESTION $1(30$ marks$)$ a$)7$ departments in a manufacturing building must be arranged in corresponding offices. The location of the department of procurement and painting are designated as shown in the Fig. $1.$ Fig. $1$ Layout of the manufacturing building Table $1($a$)$ Distances between offices $($m$)$ Table $1($b$)$: Movement of loads per day i$.$ Assuming transportation costs are RM$2$ per load movement per meter, develop an initial possible layout and calculate the transportation costs using the information in Table $1($a$)$ and Table $1($b$).$ii$.$ Propose a layout design that minimizes the transportation costs in the initial design in Q$1($a$).$iii. Give two suggestions to the company on methods to further minimizing the cost.