1. Determine the missing value, X in the simplified flow matrix in Table 2.

2.calculate the cost of assignment if A is assigned to 1, B is assigned to 2, C is assigned to 3 and D is assigned to 4.

suggest an improved layout and calculate the corresponding cost of the assignment.

There are four work centers (A, B, C and D) behind the financial aid counter at a nearby university. They can each fit into any of four office spaces (1, 2, 3 and 4) off the corridor behind the desk. The distance 1-2 is 20 feet, 2-3 is 30 feet, 3-4 is 10 feet, 1-3 is 50 feet and 1-4 is 60 feet. The matrix of work (trips per day) at the four centers is in Table 1. Table 1 A B C D A 35 o B 60 30 C 10 25 D 0 Table 2 A B A 10 50 B 95 lo 5 -- 10 C X 5 D 0 80 35