Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Linear Programming

Question:

An LPP defined by the objective function $Z=2x+2y$ has to be maximized. The corner points are (0,0), (5, 0), (8, 2), (4, 6) and (0, 8). The maximum value occurs at :

Options:

At all points on the line segment joining the points (4, 6) and (8, 2)

at (8, 2) only

at (4, 6) only

Mid points of line joining (4, 6) and (8, 2)

Correct Answer:

At all points on the line segment joining the points (4, 6) and (8, 2)

Explanation:

The correct answer is Option (1) → At all points on the line segment joining the points (4, 6) and (8, 2)

Points Values of Z
(0, 0) 0
(5, 0) 10
(8, 2) 20
(4, 6) 20
(0, 8) 16

The maximum value occurs at all point of joining (4, 6), (8, 2)