Question

For \[x+y\leq50\], \[3x+y\leq90\], \[x\geq0\], and \[y\geq0\], which is a corner point of the feasible region?

Options

• \[(20,30)\]

• \[(40,20)\]

• \[(50,0)\]

• \[(0,90)\]

Answer 1

The boundary lines intersect at \[(20,30)\], so it is a corner point. It satisfies both \[x+y\leq50\] and \[3x+y\leq90\].