You are the manager of a soccer team, and you need to decide which players to trade for the next season. Table 1 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 $1M. 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. Table 1. Players up for contract renewal on YOUR team.Player Type Defense Skills Passing Skills Shooting Skills Market Value in million $ A Defender 9 5 2 1 B Defender 7 6 3 0.5 C Defender 6 6 4 0.6 D Defender 7 7 1 1 E Midfielder 8 9 5 3 F Midfielder 4 8 6 1 G Midfielder 6 7 7 1.8 H Midfielder 2 7 6 1.2 I Striker 5 7 10 8 J Striker 2 5 8 1.5 Table 2. Players available to acquire from other teams. Player Type Defense Skills Passing Skills Shooting Skills Market Value in million $ K Defender 8 8 7 4 L Defender 8 8 5 3 M Midfielder 5 7 6 2.5 N Midfielder 6 7 6 3 O Striker 4 5 8 1.5 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. 3. The cumulative skill level of your new team should be at least as good as that of the old team, for each skill type (i.e., defense, passing, and shooting). Here, each skill level should be calculated by taking into account all the players in your team. For instance, the total defense skill of your current team is 56, so the defense skill of the new team should be at least 56. Your primary goal is to maximize the total skill level of the new team. Here, total skill consists of the sum of skills (defense, passing, and shooting) across all players. For example, the total skill of your existing team is 175. 1 - Assume now that, if you dont make any changes to a particular section of your team (defense, midfield or strikers), then every player in that section will achieve a 5% increase in each type of skill. For instance, if you decide to not trade any of your midfielders, their ratings get a 5% boost, and are given by Table 3 below. Update your model in Question 1 to address this issue. What is the maximal skill level that can be achieved, and what trades should be made?