SUBJECT- OPERATIONS MANAGEMENT

** PROVIDE HAND WRITTEN SOLUTION. PLEASE DO NOT GIVE WRONG SOLUTION**

1. Solve these problems using graphical linear programming and answer the questions that follow. Use simultaneous equations to determine the optimal values of the decision variables. a. Maximize Z= 4x + 3x3 Subject to Material 6x: +4x2 s 48 lb Labor 4x: + 8x2 0 (1) What are the optimal values of the decision variables and Z? (2) Do any constraints have (nonzero) slack? If yes, which one(s) and how much slack does cach have? (3) Do any constraints have (nonzero) surplus? If yes, which ond(s) and how much surplus does cach have? (4) Are any constraints redundant? If yes, which one(s)? Explain briefly