Amit M Agarwal Solutions for Chapter: Linear Programming, Exercise 1: Work Book Exercise

Shaded region is represented by

The shaded region for the inequality $x+5y\le 6$ is

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

The maximum value of $Z=5x+3y$, subjected to the conditions $3x+5y\le 15, 5x+2y\le 10, x, y\ge 0$ is

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

A wholesale merchant wants to start the business of cereal with $₹2400$. Wheat is $₹400$ per quintal and rice is $₹600$ per quintal. He has capacity to store $200$ quintal cereal. He earns the profit $₹25$ per quintal on wheat and $₹40$ per quintal on rice. If he stores $x$ quintal rice and $y$ quintal wheat, then for maximum profit, the objective function 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 maximum value of $\mu =3x+4y$, subjected to the conditions $x+y\le 40, x+2y\le 60, x, y\ge 0$ is