I have followed the game of professional basketball for years and see that it has some inherent flaws. Only people over 6.5 feet tall can compete on a professional level limiting the number of eligible players to near zero. This prevents the common talented person from participating, causing the price of tickets to soar because the small pool of eligible players realize that they are unique, and demand exorbitant signing bonuses and salaries. I thus propose a game where anyone with most of the talents other than height can play. This new game will be called LLLBall. The game will be played on a standard basketball court with regulation equipment. However rather than limiting the number of players to 7 giants, possibly drug induced or genetically modified, you can have as many players on the court as you like. The restriction now will be that the sum of the players height on the court at any time must be less than 45 feet. Thus at any time during the game you could play 9 five foot tall players or 6 seven footers. Your choice. Also, the yearly pay on the court must total no more than $510 million a year, and the total steroid count must be less than 0.250. The following table gives a multiple of how useful a player's skill is in winning games: Attribute Factor Blocking 1 Speed 2 Shot accuracy Aggressiveness 4 Rebounding 3 4 Thus, any player's shot accuracy is 4 times as important in winning as their blocking ability. Thus, any player's shot accuracy is 4 times as important in winning as their blocking ability. Our current roster includes 10 players whose raw abilities, not including the winning games factor, are as listed below: Aggressiveness Speed Rebounding Salary $million 80 A 5 4 00D Steroid count .004 .012 .032 .123 8 10 B 4 6 70 8.1 9 5 D 9 3 4 2 Height Shooting Shot feet accuracy Blocking 5.9 6 2 6.7 4 9 5 3 7.7 9 7 6.0 10 0 8.0 8 4 5.1 9 1 4.0 10 0 7.9 2 10 5.5 8 5 100 105 75 E 5 .096 .057 9 7 F 9 8 6 G 150 85 4 4 2 Io H .044 .019 .086 2 10 3 87 I 1 6 No 7 10 97 60 J .072 7 5 The game is just starting. Set up the LP solution to determine who should start. I have followed the game of professional basketball for years and see that it has some inherent flaws. Only people over 6.5 feet tall can compete on a professional level limiting the number of eligible players to near zero. This prevents the common talented person from participating, causing the price of tickets to soar because the small pool of eligible players realize that they are unique, and demand exorbitant signing bonuses and salaries. I thus propose a game where anyone with most of the talents other than height can play. This new game will be called LLLBall. The game will be played on a standard basketball court with regulation equipment. However rather than limiting the number of players to 7 giants, possibly drug induced or genetically modified, you can have as many players on the court as you like. The restriction now will be that the sum of the players height on the court at any time must be less than 45 feet. Thus at any time during the game you could play 9 five foot tall players or 6 seven footers. Your choice. Also, the yearly pay on the court must total no more than $510 million a year, and the total steroid count must be less than 0.250. The following table gives a multiple of how useful a player's skill is in winning games: Attribute Factor Blocking 1 Speed 2 Shot accuracy Aggressiveness 4 Rebounding 3 4 Thus, any player's shot accuracy is 4 times as important in winning as their blocking ability. Thus, any player's shot accuracy is 4 times as important in winning as their blocking ability. Our current roster includes 10 players whose raw abilities, not including the winning games factor, are as listed below: Aggressiveness Speed Rebounding Salary $million 80 A 5 4 00D Steroid count .004 .012 .032 .123 8 10 B 4 6 70 8.1 9 5 D 9 3 4 2 Height Shooting Shot feet accuracy Blocking 5.9 6 2 6.7 4 9 5 3 7.7 9 7 6.0 10 0 8.0 8 4 5.1 9 1 4.0 10 0 7.9 2 10 5.5 8 5 100 105 75 E 5 .096 .057 9 7 F 9 8 6 G 150 85 4 4 2 Io H .044 .019 .086 2 10 3 87 I 1 6 No 7 10 97 60 J .072 7 5 The game is just starting. Set up the LP solution to determine who should start