Problem 4: First Order Logic [8 points] For each English sentence below, write the first-order logic sentence that best expresses its intended meaning. Use Person(x) for x is a person, Food(x) for x is food, and Likes(x, y) for x likes y. For example. For every food, there is a person who likes that food. Can be written as: Vx Food(x) = Ey Person(y) A Likes (y, x)] i. 11. There is a person who likes every food. Some person likes some food. There is a food that every person likes. For every person, there is a food that the person likes. 111. iv. a