Answer this including all parts A, B and C. Show grapghs and please do not hand write assignment, it will be easier for me to understand if typed. Show work and if answered correctly I will upvote.

3. [15 points] The dean of the Western College of Business 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 $2,500 in faculty wages, and each graduate course costs $3,000. The dean wants to keep total faculty salaries minimum as possible. a. Formulate a Linear. Program for the problem. Clearly state the decision variables, objective function, and constraints. b. Solve the Linear Program with Excel Solver of LP Solve (or any other LP solver software). Show screen captures of your solution. c. How many undergraduate and graduate courses should be taught in the fall? What is the cost