The dean of the Western College of Business must

plan the schools course offerings for the fall semester.

Student demands make it necessary to offer at

least 30 undergraduate and 20 graduate courses in

the term. Faculty contracts also dictate that at least

60 courses be offered in total. Each undergraduate

course taught costs the college an average of $2,500

in faculty wages, and each graduate course costs

$3,000. How many undergraduate and graduate

courses should be taught in the fall so that total faculty

salaries are kept to a minimum?