Which of the following statements is correct? - Vidyadip

MCQ

Which of the following statements is correct?

A
Every LPP admits an optimal solution
B
A LPP admits unique optimal solution
C
If a LPP admits two optimal solution it has an infinite number of optimal solutions
D
The set of all feasible solutions of a LPP is not a converse set

✓

Answer

If a LPP admits two optimal solution it has an infinite number of optimal solutions

Solution:

Optimal solution of LPP has three types.

Unique
Infinite
Does not exist.

Hence, it has infinite solution if it admits two optimal solution.

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 Linear Programming→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

Find the value of $\tan ^{-1}\left[2 \cos \left(2 \sin ^{-1} \frac{1}{2}\right)\right]$

The point of intersection of the lines $\frac{{x - 5}}{3} = \frac{{y - 7}}{{ - 1}} = \frac{{z + 2}}{1},$ $\frac{{x + 3}}{{ - 36}} = \frac{{y - 3}}{2} = \frac{{z - 6}}{4}$ is

Suppose $\left| {\begin{array}{*{20}{c}}
{f'\left( x \right)}&{f\left( x \right)} \\
{f''\left( x \right)}&{f'\left( x \right)}
\end{array}} \right| = 0$ where $f(x)$ is continuously differentiable function with $f'(x) \ne 0$ and satisfy $f(0) = 1$ and $f'(0) = 2$ , then the number of solution $(s)$ of equation $f(x) = x^2$ is equal to

Let $A$ be a square matrix of order $2$ such that $|A|=2$ and the sum of its diagonal elements is $-3$ . If the points $(x, y)$ satisfying $A^2+x A+y I=0$ lie on a hyperbola, whose transverse axis is parallel to the x-axis, eccentricity is e and the length of the latus rectum is $\ell$, then $\mathrm{e}^4+\ell^4$ is equal to...........................

Ratio in which the xy-plane divided the join of (1, 2, 3) and (4, 2, 1) is:

3 : 1 internally
3 : 1 externally
2 : 1 internally
2 : 1 externally

Let $x=2$ be a local minima of the function $f(x)=2 x^4-18 x^2+8 x+12, x \in(-4,4)$. If $M$ is local maximum value of the function $f$ in $(-4,4)$, then $M =$

The probability that in a year of 22^nd century chosen at random, there will be 53 Sunday, is

$\frac{3}{28}$
$\frac{2}{28}$
$\frac{7}{28}$
$\frac{5}{28}$

The length of the $\perp$

The area bounded by the curve $y = f(x)$ , the co-ordinate axes $\&$ the line $x = x_1$ is given by $x_1 \cdot {e^{{x_1}}}$. Therefore $f (x)$ equals:

$\left| {\,\begin{array}{*{20}{c}}{{b^2} - ab}&{b - c}&{bc - ac}\\{ab - {a^2}}&{a - b}&{{b^2} - ab}\\{bc - ac}&{c - a}&{ab - {a^2}}\end{array}\,} \right| = $