Maximize and minimize p = x + 2y subject to
x + y ≥ 6
x + y ≤ 10
x − y ≤ 6
x − y ≥ -6

Minimum:
p =
(x, y) =

Maximum:
p =
(x, y) =

Abilliard ball is struck by a cue. it travels 1 0 0 cm 100cm before ricocheting off a rail and traveling another 1 2 0 cm 120cm into a corner pocket. the angle between the path as the ball approaches the rail and the path after it strikes the rail is 4 5 ∘ 45 ∘ . how far is the corner pocket from where the cue initially struck the ball? do not round during your calculations. round your final answer to the nearest centimeter.