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

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

Shaded region is represented by

The solution set of the following system of inequations $x+2y\le 3, 3x+4y\ge 12, x\ge 0, y\ge 1,$ is

Linear inequalities for which the shaded region of the given figure is the solution set, are

The minimum value of the objective function $Z=2x+10y$ subject to constraints $x\ge 0, y\ge 0$ $x-y\ge 0, x-5y\le -5$ is

The coordinates of the point at which the minimum value of $Z=7x-8y$ subject to the conditions $x+y-20\le 0, y\ge 5x\ge 0, y\ge 0$ is attained is

The linear programming problem Maximise $Z=x_1+x_2$ subject to constraints are $x_1+2x_2\le 2000, x_1+x_2\le 1500, x_2\le 600$,

$x_1\ge 0$ and $x_2\ge 0$ has

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