Question

The shaded region in the figure is the solution set of the inequations

• A. $6x+4y\ge 24,x\le 4,y\le 5,x,y\ge 0$
• B. $6x+4y\le 24,x\ge 4,y\le 5,x,y\ge 0$
• C. $6x+4y\le 24,x\ge 4,y\ge 5,x,y\ge 0$
• D. $6x+4y\ge 24,x\ge 4,y\le 5,x,y\ge 0$

Answer 1

The correct option is D $6x+4y\ge 24,x\ge 4,y\le 5,x,y\ge 0$

The line joining $(4,0)$ and $(6,0)$ is $6x+4y=24$
The shaded region is bounded by $6x+4y\ge 24,x\le 4,y\le 5,x,y\ge 0$
Therefore, option (a) is correct.