Linear Programm...

The region represented by the inequation system $$x,  y\ge 0,  y\le 6,  x+y\le 3$$ is

$$z=30x+20y,x+y\le 8,x+2y\ge 4,6x+4y\ge 12,x\ge 0,y\ge 0$$ has

An aeroplane can carry a maximum of $$200$$ passengers. A profit of Rs.$$1000$$ 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 the executive class. Determine how many tickets of each type must be sold in order to maximize the profit for the airline. What is the maximum profit?

For the LPP $$Minz={ x }_{ 1 }+{ x }_{ 2 }$$ such that inequalities
$$5{ x }_{ 1 }+10{ x }_{ 2 }\ge 0,        { x }_{ 1 }+{ x }_{ 2 }\le 1,        { x }_{ 2 }\le 4$$   and    $${ x }_{ 1 },{ x }_{ 2 }\ge 0$$

Which inequality is represented by the graph at the right?

Observe the given chart and graph and answer the following: a girl is $$17$$ years old and $$160$$ cms tall. At the end of the growth period she is likely to be how tall

A wholesale merchant wants to start the business of cereal with Rs. $$24000$$. Wheat is Rs. $$400$$ per quintal and rice is Rs. $$600$$ per quintal. He has capacity to store $$200$$ quintal cereal. He earns the profit Rs.$$25$$ per quintal on wheat and Rs. $$40$$ per quintal on rice. If he stores $$x$$ quintal rice and $$y$$ quintal wheat, then for maximum profit the objective function is

The fessible region of LPP is a convex polygon and its two consecutive vertices gives optimum solution the LPP has

A LPP means

Vikas printing company takes fee of Rs. $$28$$ to print a oversized poster and Rs. $$7$$ for each colour of ink used. Raaj printing company does the same work and charges poster for Rs. $$34$$ and Rs. $$5.50$$ for each colour of ink used. If $$z$$ is the colours of ink used, find the values of $$z$$ such that Vikas printing company would charge more to print a poster than Raaj printing company.