Question

For \[Z=4x+y\], which corner point gives the maximum value subject to \[x+y\leq50\], \[3x+y\leq90\], \[x\geq0\], and \[y\geq0\]?

Options

• \[(0,0)\]

• \[(20,30)\]

• \[(30,0)\]

• \[(0,50)\]

Answer 1

The values at \[(0,0)\], \[(30,0)\], \[(20,30)\], and \[(0,50)\] are \[0\], \[120\], \[110\], and \[50\]. The greatest value is \[120\] at \[(30,0)\].