Problem 1 NBA Playoff is here! Dr. Song is trying to choose the starting lineup for his fantasy NBA basketball team. The team consists of eight 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 can play and the players' abilities are listed below. The five-player starting lineup must satisfy the following two requirements: - Requirement \#1: At least 4 players must be able to play guard, at least 2 players must be able to play forward, and at least 1 player must be able to play center. - Requirement \#2: The average ball-handling, shooting, and rebounding level of the starting lineup must each be at least 1.8 . Formulate an integer programming model that helps Dr. Song determine who should be on the starting lineup (5 players) to maximize the total defensive ability of the starting lineup