Please clearly state the three elements (definition of decision variables and their measurement units, objective function and constraints). Please briefly explain each constraint, such as capacity limit for resource A. Please show steps and state/label elements. Thank you

Yes 1. You have been chosen by the School to form a learning team for students. Prior to being hired, students ranked their desire to be on your team - 1 being most preferred, 3 being least preferred. Your task is to create one learning team from the following 10 students. You wish to select your team based on the rank they have given. Student Gender Internat'l? Rank Male Male No Female No Male No Female Yes Male Male No Female No Male 10 Male No NO 000 Yes No The School Administration has given you a number of guidelines to follow in creating the team: 1) The team must consist of at least 5 students; but no more than 6. 2) There must be at least one female in the group. 3) It is not possible to assign all three international students to the team. 4) Students 2 and 4 insist on being on the same learning team (either they both are assigned to your team, or neither of them is assigned). 5) A request has been made by student 7 that if student 8 is assigned to the team, then he cannot (i.e. does not want to be assigned to the team. Formulate an integer program that will select the team for which the sum of all the ranks is minimized. (Do not solve the problem.)