1 Coach Night is trying to choose the starting lineup for TABLE 9 the basketball team. The team consists of seven players who have been rated (on a scale of 1 = poor to 3 = excellent) Player Position Handling according to their ball-handling, shooting, rebounding, and Shooting defensive abilities. The positions that each player is allowed to play and the player's abilities are listed in Table 9, The five-player starting lineup must satisfy the following G-F restrictions: F.C 1 At least 4 members must be able to play guard, at least 2 members must be able to play forward, and at G.F least I member must be able to play center. FC 2 The average ball-handling, shooting, and rebound- GF ing level of the starting lineup must be at least 2. 3 If player 3 starts, then player 6 cannot start. 4 If player 1 starts, then players 4 and 5 must be* start. 5 - Either player 2 or player 3 must start. Given these constraints, Coach Night wants to maxim the total defensive ability of the starting team. Formulate IP that will help him choose his starting team