question_answer 1)

Minimize and Maximize Z = x + 2y, subject to x + 2y        

Answer:

Objective function is, Z = x + 2y       L1 : x + 2y = 100      L2 : 2x ? y = 0                    A     B                     L3 : 2x + y = 200                 Here Z is minimum at A(0, 50) and G(20, 40) maximum at F(0, 200).        For minimum, x = 0, y = 50 or x = 20, y = 40 and maximum, x = 0, y = 200.