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

If the objective function is $Z =ax+by$. Identify the decision variables

If the objective function is $Z =10x+7y$. Identify the decision variables

If the objective function is $Z =6x-7y$. Identify the decision variables

The feasible solution for a Linear Programming Problem is shown in Figure. Let $Z=3x-4y$ be the objective function. Minimum of $Z$ occurs at

The feasible region for an $\mathrm{LPP}$ is shown in the figure. Let $F=3x-4y$ be the objective function.

The minimum value of $F$ is

The corner points of the feasible region determined by the system of linear inequalities are $(0,0),(4,0),(2,4)\text{ and }(0,5)$. If the maximum value of $z=ax+by,\text{ where },a,b>0$ occurs at both $(2,4)\text{ and }(4,0)$, then

The optimal solution of the following LPP

Maximize $z=5x+3y$

Subject to, $x+2y\le 16$,

$0\le y\le 3$,

$x\ge 0$

lies on the straight line

Corner points of the feasible region at which the objective function $z=x+2y$ is respectively maximum and minimum subject to the constraints $x-y\le 1, 0\le y\le 7, x\ge 0$, lie on the straight line.