5. An operations management major student must complete a total of 45 courses to graduate. The minimum number of business courses required to graduate is 23 and the minimum number of non-business courses required is 15. (The remaining are elective courses; the student can choose business or non-business courses to satisfy the 45-course requirement). The average business course requires a textbook costing $100 while average non-business courses require a textbook costing $125. The student has only $5000 for the textbook budget. A business course requires 120 hours of study per semester and a non-business course requires 90 hours of study. The student wants to minimize the total number of study hours. a. What are the decision variables? What is the objective function for this problem? b. What are the constraints? c. What should be the course combination the student chooses? d. How many study hours are required? How much money is required to purchase books?