KCET 2018 | Linear Programming Question 11 | Mathematics

The feasible region of an LPP is shown in the figure. If $z=3 x+9 y$, then the minimum value of $z$ occurs at KCET 2018 Mathematics - Linear Programming Question 6 English

KCET 2018 Mathematics - Linear Programming Question 6 English

$(5,5)$

$(0,10)$

$(0,20)$

$(15,15)$

KCET 2018

MCQ (Single Correct Answer)

-0

For the LPP, maximize $z=x+4 y$ subject to the constraints $x+2 y \leq 2, x+2 y \geq 8, x, y \geq 0$

$z_{\max }=4$

$z_{\text {max }}=8$

$z_{\max }=16$

has no feasible solution

KCET 2017

MCQ (Single Correct Answer)

-0

If an LPP admits optimal solution at two consecutive vertices of a feasible region, then

the LPP under consideration is not solvable

the LPP under consideration must be reconstructed

the required optimal solution is at the mid-point of the line joining two points

the optimal solution occurs at every point on the line joining these two points

KCET 2017

MCQ (Single Correct Answer)

-0

The shaded region in the figure is the solution set of the inequations KCET 2017 Mathematics - Linear Programming Question 4 English

$5 x+4 y \leq 20, x \leq 6, y \leq 3, x \geq 0, y \geq 0$

$5 x+4 y \geq 20, x \geq 6, y \leq 3, x \geq 0, y \geq 0$

$5 x+4 y \geq 20, x \leq 6, y \leq 3, x \geq 0, y \geq 0$

$5 x+4 y \geq 20, x \leq 6, y \geq 3, x \geq 0, y \geq 0$

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