Which of the following statements is correct? - Vidyadip

MCQ

Which of the following statements is correct?

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.

c

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

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Let $A \left(\frac{3}{\sqrt{ a }}, \sqrt{ a }\right) a >0$, be a fixed point in the $xy$-plane. The image of $A$ in $y$-axis be $B$ and the image of $B$ in $x$-axis be $C$. If $D(3 \cos \theta$, a $\sin \theta)$ is a point in the fourth quadrant such that the maximum area of $\triangle ACD$ is $12$ square units, then $a$ is equal to

There are $15$ terms in an arithmetic progression. Its first term is $5$ and their sum is $390$. The middle term is

Let $a , b , c$ be three distinct positive real numbers such that $(2 a)^{\log _{\varepsilon} a}=(b c)^{\log _e b}$ and $b^{\log _e 2}=a^{\log _e c}$. Then $6 a+5 b c$ is equal to $........$.

If the sum of the roots of the quadratic equation $a{x^2} + bx + c = 0$is equal to the sum of the squares of their reciprocals, then $\frac{{{b^2}}}{{ac}} + \frac{{bc}}{{{a^2}}} = $

If $\Delta=\left|\begin{array}{ccc}x-2 & 2 x-3 & 3 x-4 \\ 2 x-3 & 3 x-4 & 4 x-5 \\ 3 x-5 & 5 x-8 & 10 x-17\end{array}\right|=$ $Ax ^{3}+ Bx ^{2}+ Cx + D ,$ then $B + C$ is equal to

Let ${a_1},{a_2},.......,{a_{30}}$ be an $A.P.$, $S = \sum\limits_{i = 1}^{30} {{a_i}} $ and $T = \sum\limits_{i = 1}^{15} {{a_{2i - 1}}} $.If ${a_5} = 27\,a$ and $S - 2T = 75$ , then $a_{10}$ is equal to

Let $r$ and $\theta$ respectively be the modulus and amplitude of the complex number $z=2-i\left(2 \tan \frac{5 \pi}{8}\right), $ then $(r, \theta)$ is equal to

If $f(x)\ =$ min. $\{1, x^2, x^3\},$ then

The solution of $({\rm{cosec}}\,x\log y)dy + ({x^2}y)dx = 0$ is

If $\int \frac{d x}{\left(x^{2}+x+1\right)^{2}}=a \tan ^{-1}\left(\frac{2 x+1}{\sqrt{3}}\right)+b\left(\frac{2 x+1}{x^{2}+x+1}\right)+C$ $x>0$ where $C$ is the constant of integration, then the value of $9(\sqrt{3} \mathrm{a}+\mathrm{b})$ is equal to ... .