question_answer 1)

Maximize Z = ?x + 2y, subject to the constraints    

Answer:

Objective function is Z = ?x + 2y       L1 : x = 3                 L3 : x + 2y = 6       L2 : x + y = 5                             Here Z is maximum at F(3, 2) and maximum value is 1 since the region is unbounded therefore 1 may or may not be the maximum value of Z. For this draw graph of inequality ? x + 2y > 1.       L : ?x + 2y = 1             Since the open half plane has points is common with the feasible region.        Z has no maximum value.