Embibe Experts Solutions for Chapter: Linear Programming, Exercise 1: Assam Board-2020

Solve the Linear Programming Problem graphically ;

Maximize and Minimize $z=6x+3y$ subject to $4x+y\ge 80$, $x+5y\ge 115$, $3x+2y\le 150$, $x\ge 0,y\ge 0$

Maximize and Minimize $z=800x+1200y$ subject to $3x+4y\le 60, x+3y\le 30, x\ge 0,y\ge 0$.

Solve the linear programming problem graphically.

Maximize $z=20x+15y$, subject to the conditions $2x+y\le 200, x+y\le 150 \text{ and }x\ge 0, y\ge 0$

Solve the linear programming problem graphically.

Maximize and minimize $z=5x+2y$, subject to the conditions. $x-2y\le 2, 3x+2y\le 12, -3x+2y\le 3 \text{ and }x\ge 0, y\ge 0$.

Solve graphically the following linear programming problem:

Maximize or minimize $Z=x+2y$ subject to constraints $x+2y\ge 100, 2x-y\le 0, 2x+y\le 200 \& x\ge 0, y\ge 0$.

Solve graphically the following linear programming problem:

Maximize or minimize $Z=1000x+600y$ subject to constraints $x+y\le 200, x\ge 20, y\ge 4x, x\ge 0 \& y\ge 0$.