There are three work centers (A, B, and C) behind the reception counter at an organization. They can each fit into any of three office spaces (1, 2, and 3) off the corridor behind the desk. The distance 1-2 is 20 feet, 2-3 is 30 feet, and 1-3 is 50 feet. The matrix of work (trips per day) at the three centers is in Table 1. Table 1 A B |c IA 90 0 11 B 10 40 C 120 0 Question 12 1 pts a. Determine the value of z in the simplified flow matrix in Table 2. Table 2 A B A B C IX Y a. Determine the value of y in the simplified flow matrix in Table 2. Table 2 A B A B C Question 14 b. Calculate the cost of assignment if A is assigned at room 1, B is assigned at room 2 and C is assigned at room 3. Edit View Insert Format Tools Table 12pt Paragraph BI U A T Ev IX Y In To A LX 2 pts c. Calculate the cost of assignment if A is assigned at room 1, B is assigned at room 3 and C is assigned at room 2. Edit View Insert Format Tools Table 12pt Paragraph B I U Av Ov Tav * To 8 x O O words