A basketball coach is trying to choose the 5 players for lineup to maximize the shooting ability of the starting team. The team consists of seven players who have been rated (on a scale of 1= poor to 3= excellent) according to their ball-handling, shooting, rebounding, and defensive abilities. The positions that each player is allowed to play (G= guard, C= center, F= forward) and the player's abilities are: The five-player starting line-up must satisfy the following restrictions: 1. At least 3 members must be able to play guard, at least 2 members must be able to play forward, and at least 1 member must be able to play centre. 2. The average ball-handling, shooting, and rebounding level of the starting line-up must be at least 2. 3. If player 3 starts, then player 7 cannot start (they cannot be in the lineup at the same time). 4. If player 1 starts, then player 4 and 5 must both start. 5. Either player 2 or player 3 , or both, must start. Given these constraints, formulate and solve an IP that will help him choose his starting team