Question 4. How would you mathematically represent the following constraints in a binary programming problem of course selection? There are three core courses and 4 elective courses offered for the next semester. You are allowed to register in at most 5 and at least 3 of the 7 courses in total. You should register for at least two core courses, but the number of core courses you select cannot be smaller than the number of elective courses you choose. If the elective course A is selected, core course G must be selected as well. Elective courses B and C cannot be taken in one semester. Formulate these constraints. Suggest an objective function for this problem. What would you like to minimize or maximize in such setting? No need to formulate the objective function. Just state it verbally