Answer this question with respect to the problem below: To graduate from ABC University with a major in OR, a student must complete at least two math courses, at least two OR courses, and at least two computer courses. Some courses can be used to fulfill more than one requirement. Calculus can fulfill the math requirement; Optimization, math and OR requirements; Data structures, computer and math requirements; Computer simulation, OR and computer requirement; Introduction to computer programming, computer requirement; Forecasting, OR and math requirement; and Business Statistics, OR requirement. Some courses are prerequisites for others: Calculus is a prerequisite for Business Statistics Introduction to computer programming is a prerequisite for Computer simulation and Data structures Business Statistics is a prerequisite for Forecasting. Formulate an integer program to minimize the number of courses needed to satisfy the major requirements. (please use excel or gurobi to solve the integer program and write down the optimal solution) How many decision variables does this problem have? Enter an exact number