Use Integer Linear programming. please no excel.

2. (15 points) The University is in the process of forming a committee to handle students' grievances. The administration wants the committee to include at least one female, one male, one student, one administrator, and one faculty member. Ten individuals (identified, for simplicity, by the letter a to j) have been nominated. The mix of these individuals in the different categories is given as follows: Category a b c d e Individuals Female, Student Female, Administrator Female, Student Female, Faculty Female, Administrator Male, Administrator Male, Student Male, Faculty Male, Faculty Male, Student h i The University wants to form the smallest committee with representation from each of the five categories. (a) (10 points) Formulate the problem as an ILP. (b) (5 points) State which algorithm can be used to find the optimum solution