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

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

Similar questions

$\int_{}^{} {\frac{{dx}}{{(x - {x^2})}} = } $

If the lines $\frac{x-k}{1}=\frac{y-2}{2}=\frac{z-3}{3}$ and $\frac{x+1}{3}=\frac{y+2}{2}=\frac{z+3}{1}$ are co-planar, then the value of $k$ is $.....$

If $\int\sin\text{xd}(\sec\text{x})=\text{f}(\text{x})-\text{g}(\text{x})+\text{c},$ then:

Let $f(x + y) = f(x) + f(y)$and $f(x) = {x^2}g(x)$ for all $x,y \in R$, where $g(x)$ is continuous function. Then $f'(x)$ is equal to

Which of the following functions is decreasing on $\Big(0,\frac{\pi}{2}\Big)\ ?$

$\tan \left( {2{{\cos }^{ - 1}}\frac{3}{5}} \right) = $

$\int\limits^{\infty}_0\log\Big(\text{x}+\frac{1}{\text{x}}\Big)\frac{1}{1+\text{x}^2}\text{ dx}=$

If the sum of squares of all real values of $\alpha$, for which the lines $2 x-y+3=0,6 x+3 y+1=0$ and $\alpha x+2 y-2=0$ do not form a triangle is $p$, then the greatest integer less than or equal to $\mathrm{p}$ is $.........$

The area (in sq. units) of the region described by $A = \{ (x,y)|y \ge {x^2} - 5x + 4,\,x + y \ge 1,\,y \le 0\} $ is

$\int {\frac{{\left( {x - 3} \right){e^x}}}{{{{\left( {x - 1} \right)}^3}}}\,dx}$ is equal to