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Mr. David Cannonier, the head professional at Mahogany Golf Club, must develop a schedule of matches for the couples' golf league that begins its season at 4:00 p.m. tomorrow. Eighteen couples signed up for the league, and each couple must play every other couple over the course of the 17-week season. Mr. Cannonier thought it would be fairly easy to develop a schedule, but after working on it for a couple of hours, he has been unable to come up with a schedule. Because Mr. Cannonier must have a schedule ready by tomorrow afternoon, he has asked you to help him. A possible complication is that one of the couples told Mr. Cannonier that they may have to cancel for the season. They told Mr. Cannonier they would let him know by 1:00 p.m. tomorrow whether they will be able to play this season.
1. Give a summary and analysis of the issues presented in the case.
2. A schedule that will enable each of the 18 couples to play every other couple over the 17-week season.
3. A contingency schedule that can be used if the couple that contacted Mr. David Cannonier decides to cancel for the season.
4. An explanation of how you arrived at the recommendation. Support with references.
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