Solve the Linear Programming Problem graphically: Minimize Z = -3… - Vidyadip

Question

Solve the Linear Programming Problem graphically:
Minimize Z = -3x + 4y subject to $x + 2y \leq 8, \ 3x + 2y \leq 12, \ x \geq 0, \ y \geq 0.$

✓

Answer

Get the step-by-step solution for this question inside the Vidyadip app.

Get the answer in the app

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 "3 Marks Question" from Linear Programming→Linear Programming — all question types→MATHS STD 12 Science question papers→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

Let $\text{A} = \begin{bmatrix}0 & 1\\0 & 0 \end{bmatrix},$ show that $(aI + bA)^n = a^nI + na^{n-1} bA$ where I is the identity matrix of order $2$ and $ \text{n} \in \text{N}.$

Let $\text{F}(\alpha)=\begin{bmatrix}\cos\alpha & -\sin\alpha & 0 \\ \sin\alpha & \cos\alpha & 0 \\ 0 & 0 & 1\end{bmatrix}$ and$\text{G}(\beta)=\begin{bmatrix} \cos\beta & 0 & \sin\beta \\ 0 & 1 & 0 \\ -\sin\beta & 0 & \cos\beta \end{bmatrix}$
Show that$\big[\text{G}(\beta)\big]^{-1}=\text{G}(-\beta)$

Evaluate $\int\frac{1}{\text{x}(1+\log\text{x})}\text{ dx}$

Show that the three lines with direction cosines $( \frac{12}{13}, \frac{-3}{13}, \frac{-4}{13} );( \frac{4}{13}, \frac{12}{13}, \frac{3}{13} );( \frac{3}{13}, \frac{-4}{13}, \frac{12}{13})$ are mutually perpendicular.

Differentiate the following functions with respect to x:
$\tan(\text{e}^{\sin\text{x}})$

Evaluate the following integrals:
$\int\frac{(\text{x}+1)\text{e}^\text{x}}{\cos^2(\text{xe}^\text{x})}\text{ dx}$

Solve the following equation for x:
$\tan^{-1}(2+\text{x})+\tan^{-1}(2-\text{x})=\tan^{-1}\frac{2}{3},$ where $\text{x}<-\sqrt3$ or, $\text{x}>\sqrt3$

By using the properties of definite integrals, evaluate the integral $\int\limits_0^1 {x{{\left( {1 - x} \right)}^n}dx} $

Evaluate the following definite integrals:
$\int_{0}^\limits{2\pi}\text{e}^{\text{x}}\cos\Big(\frac{\pi}{4}+\frac{\text{x}}{2}\Big)\text{dx}$

Show that the vectores $\vec{\text{a}}=3\hat{\text{i}}-2\hat{\text{j}}+\hat{\text{k}},\vec{\text{b}}=\hat{\text{i}}-3\hat{\text{j}}+5\hat{\text{k}},\vec{\text{c}}=2\hat{\text{i}}+\hat{\text{j}}-4\hat{\text{k}}$from a right-angled triangle.