Question
Solve the following LPP using graphical method
$
\begin{array}{cc}
\text { Minimize } & z=3 x+5 y \\
\text { constraints } & x+3 y \geq 3 \\
& x+y \geq 2 \\
& x \geq 0, y \geq 0
\end{array}
$

Answer

self

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

Minimize $Z = x +2 y$ subject to constraints
$2 x+2 y \geq 3 ; $
$x+2 y \geq 6 ;$
$x, y \geq 0$
using graphical method.
An aeroplane can carry a maximum of 200 passengers. A profit of Rs. 400 is made, on each executive class ticket and a profit of Rs. 600 is made on each economy class ticket. The airline reserves at least 20 seats for executive class. However at least 4 times as many passengers prefer to travel by economy class than by executive class. Formulate linear programming problem in order to maximize the profit for the airline.
$f(x)=\left\{\begin{array}{cl}\frac{x e^{\frac{1}{x}}}{1+e^{\frac{1}{x}}}, & x \neq 0 \\ 0, & x=0\end{array}, x=0\right.$ Examine the continuity at $x =0$.
Solve the differential equation $(x+y) d y+(x-y) d x=0$, given $y =1$ when $x =1$.
Find the particular solution of differential equation $\frac{d y}{d x}+y \cot x=2 x+x^2 \cot x,(x \neq c)$ given that, $y =0$ at $x=\frac{\pi}{2}$
Solve the following LPP using graphical method
$
\begin{array}{ll}
\text { Minimize } & Z=600 x+400 y \\
\text { constraints } & x+2 y>12 \\
& 2 x+y<12 \\
& x+\frac{5}{4} y \geq 5 \\
& x>0, y>0
\end{array}
$
If $y=\sin \left[2 \tan ^{-1}\left(\sqrt{\frac{1-x}{1+x}}\right)\right]$ then find $\frac{d y}{d x}$.
Find the value of $\int_0^\pi \frac{\sec x}{\sec x+\tan x} d x$.
Prove that $\tan \left(\frac{\pi}{4}+\frac{1}{2} \cos ^{-1} \frac{x}{y}\right)+\tan \left(\frac{\pi}{4}-\frac{1}{2} \cos ^{-1} \frac{x}{y}\right)=\frac{2 y}{x}$
If $A=\left[\begin{array}{lll}1 & 2 & 2 \\ 2 & 1 & 2 \\ 2 & 2 & 1\end{array}\right]$ and $A^2-4 A=k I_3$ then find the value of $k$. Here $I_3$ has a order of $3 \times 3$ matrix.