Question

A vertex of a feasible region by the linear constraints $3x+4y\le 18,2x+3y\ge 3$ and $x,y\ge 0$ is

• A. $\left(0,2\right)$
• B. $\left(4.8,0\right)$
• C. $\left(0,3\right)$
• D. none of these

Answer 1

The correct option is D

none of these

Explanation for correct option:

Step-1: Express the given data.

Given, equation $3x+4y\le 18,2x+3y\ge 3$ and $x,y\ge 0$

Step-2: Finding coordinate of the line $3x+4y=18,$cuts the $x\&y$ axis.

x	0	6
y	4.5	0

Step-3: Finding coordinate of the line $2x+3y=3$cuts the $x\&y$ axis.

x	0	$\frac{3}{2}$
y	1	0

Step-4: Drew the graph.

Hence, option $\left(D\right)$ is correct;