# Question 3. Solve the following problem using Linear Programming Graphical Approach: The Dean of the College of Engineering at the University of Business and Technology (UBT) must plan the school's 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 SAR 2,500 in faculty wages, and each graduate course costs SAR 3,000. How many undergraduate and graduate courses should be taught in the fall so that total faculty salaries are kept to a minimum?

P8PPG5 The Asker · Probability and Statistics

Transcribed Image Text: 3. Solve the following problem using Linear Programming Graphical Approach: The Dean of the College of Engineering at the University of Business and Technology (UBT) must plan the school's 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 SAR 2,500 in faculty wages, and each graduate course costs SAR 3,000. How many undergraduate and graduate courses should be taught in the fall so that total faculty salaries are kept to a minimum?
More
Transcribed Image Text: 3. Solve the following problem using Linear Programming Graphical Approach: The Dean of the College of Engineering at the University of Business and Technology (UBT) must plan the school's 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 SAR 2,500 in faculty wages, and each graduate course costs SAR 3,000. How many undergraduate and graduate courses should be taught in the fall so that total faculty salaries are kept to a minimum?