Problem 5: This problem is not directly related to the chapter, but it may help you open up to the wide variety of applications of analytical techniques. Even if you cannot come up with a solution, the puzzle can be fun and some food for thought so attempt it to the best of your abilities. (25 points) As the owner of a new dating website, you're working on the logic on how to best match men and women together. Providing people with good dating candidates is important to keep them interested in using the website and for relationship success. So far, your first clients are 10 women and 10 men. The table below shows the personality characteristics for each person. The goal is to match pairs (one man to one woman) so that the most number of characteristics match. For each characteristic that matches, you earn one point. For example, matching Man 1 and Woman 1, would be worth two points (because the Living Preference and Social characteristics match). The data is also provided to you in Excel, in case you want to approach the solution in Excel (optional). What is the maximum number of points you can achieve? Person Politics Hobby Living Social Preference Man 1 Liberal Running Rural Introverted Man 2 Liberal Chess Rural Outgoing Man 3 Conservative Running Urban Introverted Man 4 Liberal Running Rural Introverted Man 5 Conservative Running Rural Introverted Man 6 Conservative Chess Rural Introverted Man 7 Conservative Chess Urban Introverted Man 8 Liberal Chess Urban Introverted Man 9 Liberal Running Urban Introverted Man 10 Liberal Running Urban Outgoing Woman 1 Conservative Chess Rural Introverted Woman 2 Liberal Running Rural Introverted Woman 3 Conservative Chess Rural Outgoing Woman 4 Conservative Running Urban Outgoing Woman 5 Conservative Chess Urban Outgoing Woman 6 Liberal Running Urban Introverted Woman 7 Conservative Chess Urban Outgoing Woman 8 Conservative Running Urban Outgoing Woman 9 Liberal Chess Urban Introverted Woman 10 Liberal Running Rura Introverted