selection. Your key task is to select a squad (team) of 23 players that will represents KSA in the upcoming Asia Cup. A complete soccer team will have player playing in 11 different positions, say P={1,,11}. The team players should be selected from a list of 60 candidate players, where C={1,2,,60} represents the candidate players. These candidate players come from 10 top universities across KSA, say U={1,,10}. For this task, for each candidate player, NSA provided the following information: - ac : the age of player for cC in years (non-negative number), - rc : the rating of player for cC (number in the interval [0,100] ). You can think of the rating as how high the national team manager rates each player. - qcp={1,0,ifplayercplaysinpositionp,otherwisecC,pP, - scu={1,0,ifplayercbelongstouniversityu,otherwisecC,uU. NSA would like you to formulate a (Mixed) Integer (Linear) Program to select the 23-player squad (with the maximum possible overall rating) from this list of candidate players. You have to take the following requirements into account: R-(a): There must be at least two players selected for each of the eleven positions to handle events like injuries and/or suspensions during the game. R-(b): The average age of your selected squad should not exceed 27.5 years. R-(c): At least 5 different universities players should be part of the squad. R-(d): If candidate player 5 is selected, then players 12,27 , and 48 cannot be selected. R-(e): You cannot select more than 5 candidate players from the same university. R-(f): A maximum of two candidate players with overall rating less than 70 can be chosen. R-(g): At least one of the following two conditions must be satisfied: (i): We must have exactly three goalkeepers selected (position 1 is for goalkeeper), or (ii): We must have at least two strikers selected (position 9 is for striker). Answer the following questions: Q1. Suggest what variables you will use to model the above scenario? Write the definition and type of the variable(s) clearly. How many total variables you will be using? Q2. Write the objective function in terms of above variable (implicitly)? If the above variables are not enough, then you can define and use additional variables. Q3. Write the total number of constraints you will need to model each of the above requirements. Q4. Build the full mathematical model that captures the above scenario. Note: In Q4, write an implicit model, that is, use summation ( ) and enumeration () symbols wherever possible. For summation symbol, specify the limits of the summation. If you use enumeration symbol, make sure the index range is clearly defined in your solution