Four different machines M1, M2, M3, and M4 are to be placed in a machine shop. There are five vacant areas A, B, C, D, and E. Because of limited space, Machine M2 cannot be placed in area C and Machine M4 cannot be placed in area A. The cost of setting up the machines is given in the Table. Find the optimal locations for these machines within the plant. Machine M M My M 4 6 4 B 5 4 5 2 Area C 9 8 6 D 4 4 5 1 E 5 3 1