Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Linear Programming

Question:
The LPP: Max. \(z=x_{1}+\frac{5}{2}x_{2}\) subject to \(5x_{1}+3x_{2}\leq 15, -x_{1}+x_{2}\leq 1, 2x_{1}+5x_{2}\leq 10\) and \(x_{1},x_{2}\geq 0\) has
Options:
No possible solution
Infinitely many optimal solutions
a unique optimal solution
an unbounded solution
Correct Answer:
Infinitely many optimal solutions
Explanation:
Sketch the region