Embibe Experts Solutions for Chapter: Linear Programming, Exercise 1: Exercise 1

Maximum value of $z$ equals $3x+2y$ subject to $x+y\le 3, x\le 2, -2x+y\le 1, x\ge 0, y\ge 0$ is

The shaded region in the figure is the solution set of the inequations

The shaded part of given figure indicates the feasible region, then the constraints are

Which of the following is not a vertex of the positive region bounded by the inequalities $2x+3y\le 6, 5x+3y\le 15$ and $x,y\ge 0?$

The graph of inequations $x\le y$ and $y\le x+3$ is located in

The linear inequations for which the shaded area in the following figure is the solution set, are

Shaded region is represented by

The corner points of the feasible region determined by the system of linear constraints are $\left(0, 10\right), \left(5, 5\right), \left(15, 15\right), \left(0, 20\right)$. Let $z=px+qy$, where $p, q>0$. Condition on $p$ and $q$, so that the maximum of $z$ occurs at both the points $\left(15, 15\right)$ and $\left(0, 20\right)$ is