Added hire and findPosition methods

java/com/aa/act/interview/org/Organization.java

@@ -21,8 +21,70 @@ public Organization() {
 	 */
 	public Optional<Position> hire(Name person, String title) {
 		//your code here
+		Position result = findPosition(root, title);
+
+		// Checks the result and returns an Optional<Employee> if one was found.
+		if (result != null) {
+			result.setEmployee(Optional.of(new Employee(0, person)));
+			return Optional.of(result);
+		}
+
+		// Target was not found by the search so and empty optional is returned.
 		return Optional.empty();
 	}
+
+	/*
+	 * Finds the position in the organization tree who's title matches the given String
+	 * using a depth-first tree traversal
+	 * 
+	 * @param target
+	 * @param title
+	 * @return the wanted position or null if not found.
+	 */
+	public Position findPosition(Position target, String title) {
+
+		if (target.getTitle().equals(title)) {
+			return target;
+		} else if (!target.getDirectReports().isEmpty()) {			
+			for(Position position : target.getDirectReports()) {
+				Position newTarget = findPosition(position, title);
+				if (newTarget != null)
+					return newTarget;
+			}
+		}
+
+		return null;
+	}
+
+	/*
+	 * Finds the largest Identifier number in the given organization and returns it
+	 * 
+	 * @param Position position
+	 * @param int result
+	 * @return an integer primitive relating to the largest Identifier in the organization or 
+	 * 		   the given integer primitive "result" if none are found.
+	 */
+	public int findMaxID(Position position, int result) {
+
+		// compares the given position's employee's ID, if present, to the integer primitive parameter
+		if (position.getEmployee().isPresent()) {
+				if (position.getEmployee().get().getIdentifier() > result) {
+					result = position.getEmployee().get().getIdentifier();
+				}
+		}
+
+		// Checks the set of direct reports, if any, recursively and depth first
+		if (!position.getDirectReports().isEmpty()) {
+			for(Position newPosition : position.getDirectReports()) {
+				int newResult = findMaxID(newPosition, result);
+				if (newResult > result) {
+					result = newResult;
+				}
+			}
+		}
+
+		return result;
+	}		
 
 	@Override
 	public String toString() {