The AAA Business College offers undergraduate and graduate courses, and post-grad seminars. Student demand makes it necessary to offer at least 35 undergraduate and 18 graduate courses, and 5 post-grad seminars in the upcoming semester. Faculty contracts dictate that the total number of courses and seminars must be at least 65. Qualified faculty are available to teach a maximum of 10 post-grad seminars. Undergraduate courses cost the college $3,650 in faculty wages, each graduate course costs $4,300, and each seminar costs $4,650. The college dean needs to know how many undergraduate courses, graduate courses, and post- grad seminars should be taught so that total faculty salaries are kept to a minimum. a. What is the objective function equation? b. What are the decision variables? c. What are the equations for the constraints? d. How many (theoretically) of each type of course should the dean schedule for the coming semester? e. What is the minimum total faculty salary for the coming semester?