Question
In an LPP, if the objective function Z = ax + by has the same maximum value on two corner points of the feasible region, then the number of points of which Zmax occurs is:

Answer

  1. Infinite

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

Similar questions

$\int_0^{2 \pi} \operatorname{cosec}^7 x d x=$
What are the direction cosines of a line which is equally inclined to the positive directions of the axes:
  1. $\Big(\frac{1}{\sqrt{3}},\frac{1}{\sqrt{3}},\frac{1}{\sqrt{3}}\Big)$
  2. $\Big(-\frac{1}{\sqrt{3}},\frac{1}{\sqrt{3}},\frac{1}{\sqrt{3}}\Big)$
  3. $\Big(-\frac{1}{\sqrt{3}},-\frac{1}{\sqrt{3}},-\frac{1}{\sqrt{3}}\Big)$
  4. $\Big(\frac{1}{3},\frac{1}{3},\frac{1}{3}\Big)$
The vector equation of the line through the points $A(3,4,-7)$ and $B(1,-1,6)$ is
Let f(x) = |x| + |x - 1|, then:
  1. f(x) is continuous at x = 0, as well as at x = 1
  2. f(x) is continuous at x = 0, but not at x = 1
  3. f(x) is continuous at x = 0, but not at x = 0
  4. none of these
The area of the quadrilateral ABCD, where A(0, 4, 1), B(2, 3, -1), C(4, 5, 0) and D(2, 6, 2) is equal to:
  1. 9sq. units
  2. 1sq. units
  3. 27sq. units
  4. 81sq. units
Integrating factor of the differntial equation $\cos\text{x}\frac{\text{dy}}{\text{dx}}+\text{y}\sin\text{x}=1$is:  
  1. $\sin\text{x}$
  2. $\sec\text{x}$
  3. $\tan\text{x}$
  4. $\cos\text{x}$ 
If $\text{g}'(\text{x})=\int\text{x}^\text{x}\log_\text{e}(\text{ex})\text{dx}$ then $\text{g}(\pi)$ equals:
  1. $\pi\log_\text{e}\pi$
  2. $\pi^\pi\log_\text{e}(\text{e}\pi)$
  3. $\pi^\pi\log_\text{e}(\pi)$
  4. $\pi^\pi$
Corner points of the feasible region of inequalities gives
$\int\sin^{-1}\text{xdx}$ is equal to:
  1. $\cos^{-1}\text{x}+\text{c}$
  2. $\text{x}\sin^{-1}\text{x}+\sqrt{1-\text{x}^2}+\text{c}$
  3. $\frac{1}{\sqrt{1-\text{x}^2}}+\text{c}$
  4. $\text{x}\sin^{-1}\text{x}-\sqrt{1-\text{x}^2}+\text{c}$
The optimal value of the objective function is attained at the points.