8 State University has three professors who each teachfour courses per year. Each year, four sections of marketing, finance, and production must be offered. At least one section of each class must be offered during each semester (fall and spring). Each professor’s time preference and preference for teaching various courses are given in Table 44.

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TABLE 44 Fall Preference Spring Preference Professor 1 Professor 2 Professor 3 3 4 53 5 4 4 Marketing Finance 6 5 Production 4 6 495 946 5