2. Fantasy sports is a multibillion dollar industry that gathers players from around the world. The competition consists in selecting virtual or fantasy teams composed by players from a pool of games. The virtual teams are ranked according to the real score achieved by the players in the team. Contestants compete for money or other prizes usually via webpages like draftkings or fanduel. Consider a fantasy football competition in which each contestant is allowed to participate with at most one fantasy team or entry. Each player has a salary that must be paid to get the player into the entry, a projected score that is an estimation of how many points will the player achieve, and a corresponding position: Quarterback (QB) Running Back (RB) Wide Receiver (WR) Tight End (TE) Defense (DST) An entry consists of 6 players that satisfy the following conditions: The total combined salary of the selected players is at most 50,000 There must be at least 1 player for each position The sixth player is a flexible player that can be either a RB, WR, or TE a. Formulate the problem of selecting the entry with maximum projected score as a linear integer program. Clearly state your parameters, variables, constraints, and objective.