1) A technical college department head must plan the course offerings for the next term. Stuplent demands make it necessary to offer at least 5 core courses (each of which counts for 3 credit hours) and 5 elective courses (each of which counts for 4 credit hours) in the term. Faculty contracts dictate that a total of at least 15 core and elective courses and at least 48 total credit hours be offered. Each core course taught costs the college an average of $100 in faculty salaries and each elective course costs $200. How many each of core and elective courses should be scheduled so that total faculty salaries are kept to a minimum? Define your decision variables clearly and formulate an L.P model for this problem. Then, find the optimal solution using graphical method (25 points)