1. (20 pts.) For a firm with four departments (A, B, C and D), the flow matrix between departments is as follows. A B C D The current layout is as follows: The following layout plan shows the available areas (1-4) for the four departments (A-D). Each department should be assigned to each area. 1 1 2 3 4 Flow Matrix B C D 30 40 20 0 25 30 0 25 0 A 0 The distance matrix between areas is as follows: A Layout Plan 2 3 Distance Matrix 1 3 0 2 1 0 B 2 1 0 4 C D 4 3 2 1 0 a. Calculate total flow-distance of the current layout b. Develop a new layout plan that will minimize total flow-distance