quantitative methods for business

Question
Mr.ABC is the head professor of the country club,and must develop a schedule of matches for the couple's golf league that begins its season at tomorrow at 4:00pm.18 couples have signed up for the league, and each couple must play each other couple over the course of 17 week season.a possible complication is that one of the couples told Mr.ABC that they may have to cancel for the season.they told Mr.ABC that they will inform him tomorrow by 1:00pm, whether they will be playing this season.
now Mr.ABC has to prepare a schedule that will enable each of the 18 couples to play every other couple over the 17 week season.and a contingency schedule that can be used of the couple that contacted Mr.ABC decides to cancel for the season.

Answer
Hello Ushakiran;

Well here are my responses.



First...you never did ask a question.  What you did was stated a hypothetical situation!
It is unclear what you are asking, though if I interpret this correctly.  What your really looking for a solution to this situation.


You solution is very easy actually. for the 17th couple is this...
Each week you choose a couple on a rotating basis to draw a by for that week.  Where is they can play or not play.  IF they choose to play they automatically get a point just as if they won that week.

In reality if it is done this way, then every team is guaranteed a point which is a benefit to all.  As we all know that no body is going to win every week.

My real question is why did you set it up for 17 weeks?  That in itself is not really being conducive to having a stable event.  It should be 18 or better yet 20 weeks.  Another scenario which is an even bigger profit maker is, to have this on going and every week all year long.

As a Head Golf Professional  That is what I would do.  After all, the whole idea is to generate revenues and have more income.

Good Luck I hope this helps.

Robb Nunn
PGA Professional