The vertices are (200,270), (300,270), (300, 150), (230,150), (200,180).
Check each vertex in the equation for profit: P = 4x + 6y.
(200,270) yields 2420
(300,270) yields 2820 MAX
(300,150) yields 2100
(230,150) yields 1820
(200,180) yields 1880
Making 300 wooden boards and 270 polymer boards daily
will maximize profit.