The continuing Education Division at the Ozark Community College offers a total

Question

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, word processing, and car maintenance; and humanistic, such as history, music, and fine arts. To satisfy the demands of the community, at least 10 courses of each type must be offered each semester. The division estimates that the revenues of offering practical and humanistic courses are approximately $1,500 and $1,000 per course, respectively.

A) devise an optimal course offering for the college.
b) show that the dual price of an additional course is $1500 , which is the same as the revenue per oer practical course.
c) how many more courses can be offered which guaranteeing that each will contribute $1500 to the total revenue?
d) determine the change in revenue resulting from increasing the minimum requirement of humanistics by one course.

Explanation / Answer

Solution: X : The number of course about practical. Y : The number of course about humanistic. Let Maximize z = 1500X + 1000Y S.T. X+Y ? 30 10 ? X ? 30 10 ? Y ? 30

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