Here is my code:

> import java.util.Scanner;
  import java.util.Arrays;

  /**
  This class tests the Person class.
  */
  public class PersonDemo
   {
    public static void main(String[] args)
    {
    int count = 0;
    Scanner in = new Scanner(System.in);

    boolean more = false;
    Person first = null;
    Person last = null;
    while (more)
    {
      System.out.println(
          "Please enter the person's name or a blank line to quit");
      String name = in.nextLine();

      if (name.equals(""))
       more = false;
      else
      {
       Person p = new Person(name); //new person object created with inputted name

       Person[] people = new Person[10]; //new array of 10 person objects
       people[count] = p; //declare person object with index of variable count as the new person object                            

       first = people[count];  // I have no idea what to do here.  This is where I'm stuck.
       last = people[count];   // I can't figure out what to do with this either.

       first.compareTo(p); //call compareTo method on first and new person object
       last.compareTo(p);  //call compareTo method on last and new person object     

       count++; // increase count variable
      }
     }

      System.out.println("First: " + first.toString()); 
      System.out.println("Last: " + last.toString());
     }
   }

And the Person class:

/**
  A person with a name.
*/
public class Person implements Comparable

{
 /**
  * Constructs a Person with a name.
  * @param aName the person's name
  */
 public Person(String aName)
 {
  name = aName;
 }

 public String getName()
 {
  return name;
 }

 @Override
 public int compareTo(Object otherObject) 
 {
  Person other = (Person)otherObject;
  if (name.compareTo(other.name) < 0) return -1;
  if (name.compareTo(other.name)  > 0) return 1;  
  return 0;
 }

 /**
        Returns a string representation of the object.
        @return name of Person
 */
 public String toString()
 {
  return "[name=" + name + "]";
   }

 private String name; 

}