Question

The corner points of the feasible region in graphical representation of a L.P.P. are (2, 72), (15, 20) and (40, 15). If Z = 18x + 9y be the objective function, then ______.

Options

• Z is maximum at (2, 72), minimum at (15, 20)

• Z is maximum at (15, 20), minimum at (40, 15)

• Z is maximum at (40, 15), minimum at (15, 20)

• Z is maximum at (40, 15), minimum at (2, 72)

Answer 1

The corner points of the feasible region in graphical representation of a L.P.P. are (2, 72), (15, 20) and (40, 15). If Z = 18x + 9y be the objective function, then Z is maximum at (40, 15), minimum at (15, 20).

Explanation:

Corner points	Z = 18x + 9y	Value of Z
(2, 72)	Z = 18 × 2 + 9 × 72	684
(15, 20)	Z = 18 × 15 + 9 × 20	450
(40, 15)	Z = 18 × 40 + 9 × 15	855

∴ Z is maximum at (40, 15) and minimum at (15, 20)