Linear Programm...

If given constraints are $$5x + 4y \geq 2, x \leq 6, y \leq 7$$, then the maximum value of the function $$z = x + 2y$$ is

The constraints $$-{ x }_{ 1 }+{ x }_{ 2 }\le 1,\quad -{ x }_{ 1 }+3{ x }_{ 2 }\le 9$$ and $${ x }_{ 1 },{ x }_{ 2 }\ge 0$$ defines on

Shaded region is represented by

$$\displaystyle z=10x+25y$$ subject to $$\displaystyle 0\le x\le 3$$ and $$\displaystyle 0\le y\le 3,x+y\le 5$$ then the maximum value of z is

A dealer wishes to purchase toys $$A$$ and $$B$$. He has Rs. $$580$$ and has space to store $$40$$ items. $$A$$ costs Rs. $$75$$ and $$B$$ costs Rs. $$90$$. He can make profit of Rs. $$10$$ and Rs.$$15$$ by selling $$A$$ and $$B$$ respectively assuming that he can sell all the items that he can buy formulation of this as L.P.P. is

Given a system of inequation:

The maximum value of $$P=x+3y$$ such that $$2x+y\leq 20, x+2y\leq 20, x\geq 0, y\geq 0,$$ is.

Objective of linear programming for an objective function is to

For a linear programming equations, convex set of equations is included in region of

In linear programming, oil companies used to implement resources available is classified as