question_answer 7)

Minimize and Maximize Z = 5x + 10y, subject to x + 2y  

Answer:

. Objective function is Z = 5x + 10y       L1 : x + 2y = 120      L2 : x + 2y = 60                                           Here Z is minimum at C(60, 0) and maximum at H(60, 30) and A(120, 0).        For minimum, x = 60, y = 0       and maximum, x = 60, y = 30 (or) x = 120, y = 0.