You are the manager of a soccer team, and you need to decide which players to trade for the...

   

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You are the manager of a soccer team, and you need to decide which players to trade for the next season. Table I below describes the current players on your team that are up for contract renewal, listing their type, defense skill, passing skill, shooting skill, and market value. Any of these players can be sold to competing teams, and the revenue generated from such a transaction would be equal to their "market value." For instance, if "Defender A" is sold, your team will receive $IM. Similarly, Table 2 lists players who are undergoing contract renewal at other teams. In other words, your team could acquire these players by paying their corresponding "market value." Player A B C D E F G H I J Player K L M N 0 Type Defender Defender Defender Defender Midfielder Midfielder Midfielder Midfielder Striker Striker Type Defender Defender Midfielder Midfielder Striker Defense Skill Passing Skill 9 7 6 7 8 4 6 5 6 Defense Skill 8 8 5 6 4 6 7 9 8 7 7 Shooting Skill Passing Skill 8 8 7 7 5 3 4 1 2 5 7 2 5 Table 1. Players up for contract renewal on YOUR team. 5 6 7 6 10 8 Shooting Skill 7 5 6 6 8 Table 2. Players available to acquire from other teams. Market Value 1 million 0.5 million 0.6 million 1 million 3 million 1 million 1.8 million 1.2 million 8 million 1.5 million Market Value 4 million 3 million 2.5 million 3 million 1.5 million You are currently considering only trades that ensure the following conditions are met: 1. They would not require any additional capital. In other words, the funds generated from sold players would be sufficient to cover any acquisitions of new players. 2. You would not be changing the composition of your team roster. In other words, the total number of defenders, the total number of midfielders, and the total number of strikers would each remain constant, and match the totals in Table 1 (4 defenders, 4 midfielders, and 2 strikers). For example, selling one defender and acquiring a new defender would be valid, but selling one defender and acquiring a new striker would not.

Answer rating: 100% (QA)

To solve the given problem formulate it as an optimization problem where the objective is to maximize the total skill level of the new team while satisfying the specified conditions Using the data pro View the full answer