Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Linear Programming

Question:

Which of the following is NOT a corner point of the feasible set $S=\{(x, y): 3 x+4 y \leq 24,8 x+6 y \leq 48, x \leq 5, x \geq 0, y \geq 0\}$ of some LPP ?

Options:

$\left(\frac{24}{7}, \frac{24}{7}\right)$

$\left(5, \frac{4}{3}\right)$

$\left(\frac{24}{7}, \frac{33}{7}\right)$

(0, 6)

Correct Answer:

$\left(\frac{24}{7}, \frac{33}{7}\right)$

Explanation:

Corner points:

(0, 6)

(5, 0)

$(5, \frac{4}{3})$

$\left(\frac{24}{7}, \frac{24}{7}\right)$

Option: C → not a corner point