A factory that produces custom-made products is to be newly built. There are four work centers (A to D) in the factory. Similar machines and equipment are grouped together in each work center. Its operations manager wants to arrange the work centers so as to minimize weekly total material handling cost. The estimated number of parts moved between work centers each week is shown in Figure 1, and the initial facility layout is shown in Figure 2. The walking distance between adjacent work centers is 20 foot. That is, the walking distance between A and B is 20 foot, and the distance between A and D is 60 foot. The cost of moving one part for one foot is one dollar. Figure 1. Parts moved between work centers | 500 550 From 200 olo Figure 2. Initial facility layout ID 20' - 20 - C a. Calculate the weekly total material handling cost of the initial layout. b. If the location of Centers A, B and C can be changed, while the location of Center D is fixed, find the optimal layout that MINIMIZES weekly total material handling cost. Present the optimal layout with a diagram (Figure 3) and calculate its weekly total material handling cost. Figure 3. Optimal facility layout TD Describe the type of layout used in this factory. Discuss ONE advantage and ONE disadvantage of this layout. Explain TWO conditions under which a cell layout could be used in this factory