Download App

Linear Programming — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsLinear Programming1 Mark
MCQ
Choose the correct answer from the given four options.

The feasible solution for a $\text{LPP}$ shown in Fig. $12.12.$ Let $z = 3x - 4y$ be objective functio. $($Maximum value of $Z +$ Minimum value of $Z)$ is equal to:
  • A
    $13.$
  • B
    $1.$
  • C
    $-13.$
  • ✓
    $-17.$
✓

Answer

Correct option: D.
$-17.$
Corner points
Corresponding value of $Z = 3x - 4y$
$(0, 0)$
$(5, 0)$
$(6, 5)$
$(6, 8)$
$(4, 10)$
$(0, 8)$
$0$
$15 ($Maximum$)$
$-2$
$-14$
$-28$
$-32 ($Minimum$)$
Here, maximum value of $Z +$ minimum value of $Z = 15 - 32 = -17.$

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

The value of $\int_1^2 {\log x\,dx} $ is
→
The direction ratios of the line joining the points $A(4, −3, 7)$ and $B(1, 3, 5)$ are:
→
Which of the following relations is incorrect
→
If $B$ is a non$-$singular matrix and $A$ is a square matrix, then $\text{det} (B^{-1} AB)$ is equal to:
→
The area bounded by the lines $|x| + |y| = 1$ is:
→
The area of the region bounded by the and the lines $x = 2$ and $x = 3.$
→
Find the principal value of: $\tan ^{-1}(-1)$.
→
$\int\frac{\text{x}^3}{\text{x}+1}$ is equal to:
→
The distance between the planes given by $r.(i + 2j - 2k) + 5 = 0$ and $r.(i + 2j - 2k) - 8 = 0$ is
→
If $y = y ( x )$ is the solution of the differential equation $2 x^{2} \frac{d y}{d x}-2 x y+3 y^{2}=0 \quad$ such that $y(e)=\frac{e}{3}$, then $y(1)$ is equal to
→