Which of the following statements is correct?

Download App

MCQ

A
Every $LP$ problem has at least one optimal solution.
B
Every $LP$ problem has a unique optimal solution.
✓
If an $LP$ problem has two optimal solutions, then it has infinitely many solutions.
D
If a feasible region is unbounded then $LP$ problem has no solution.

✓

Answer

Correct option: C.

If an $LP$ problem has two optimal solutions, then it has infinitely many solutions.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from 12. linear programming→12. linear programming — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

An ordered pair $(\alpha , \beta )$ for which the system of linear equations

$\left( {1 + \alpha } \right)x + \beta y + z = 2$ ; $\alpha x + \left( {1 + \beta } \right)y + z = 3$ ; $\alpha x + \beta y + 2z = 2$ has a unique solution, is

→

The degree of the differential equation $\frac{{{d^2}y}}{{d{x^2}}} + 3{\left[ {\frac{{dy}}{{dx}}} \right]^2} = {x^2}\log \left[ {\frac{{{d^2}y}}{{d{x^2}}}} \right]$ is

→

Let $|\vec{a}|=2,|\vec{b}|=3$ and the angle between the vectors $\vec{a}$ and $\vec{b}$ be $\frac{\pi}{4}$. Then $|(\vec{a}+2 \vec{b}) \times(2 \vec{a}-3 \vec{b})|^2$ is equal to

→

Let $\bar r$ be a vector in plane of $\hat i - 2\hat j + \hat k$ and $\hat i - \hat j - \hat k$ such that $\vec r.\left( {\hat i + \hat j} \right) + 2 = 0$ and length of projection of $\vec r$ on $\hat i - \hat j$ is $4\sqrt 2$, then magnitude of vector $\vec r$ is

→

The function $y=2 x^2-\ln |x|, x \neq 0$ decreases when $x \in$

→

The integral $\int_{1 / 4}^{3 / 4} \cos \left(2 \cot ^{-1} \sqrt{\frac{1-\mathrm{x}}{1+\mathrm{x}}}\right) \mathrm{dx}$ is equal to:

→

$|\,(a \times b)\,.\,c\,|\, = \,|a|\,\,|b|\,\,|c|,$ if