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Home Questions 7JWA5W5TTB
Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Linear Programming

Question:

The corner points of the LPP

Minimize $z=5x+7y$
subject to the constraints $2x+y ≥ 8$
  $x+2y ≥ 10 $
  $x, y ≥ 0$

 are A(10, 0), B(2, 4), C(0, 8)

The minimum value of the objective function is :

Options:

0

38

50

56

Correct Answer:

38

Explanation:

The correct answer is Option (2) → 38

$Z=5x+7y$

corner points   $Z=5x+7y$
$A(0,0)$ $Z=50$
$B(2,4)$ $Z=38$
$C(0,8)$ $Z=56$

Minimize value = 38

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