The continuing Education Division at the Ozark Community College offers a total of 30 courses each semester the courses offered are usually of two types practical such as woodworking, wood processing and car maintenance and humanisticn such as history, music and fine arts. To satisfy the demands of the community, at least 10 courses of each type must b offered in each semester. The division estimates that the revenues of offering practical and Humanities courses are approximately $1500 and $10000 per course respectively. (a)Devise an optimal course offering for the college.
(b)Show that the worth per additional course is $15000, which is the same as the revenue per practical course. What does the result mean in terms of offering additional course.