Degree Requirements During his lunch break, John O’Hagan decides to devote some time to assisting his son Billy-Sean, who continues to have a terrible time planning his college course schedule. The latest Bulletin of Suburban State University claims to have added new flexibility to its course requirements, but it remains as complicated as ever. It reads as follows:
All candidates for the degree of Bachelor of Arts at SSU must take at least 120 credits from the Sciences, Fine Arts, Liberal Arts, and Mathematics combined, including at least as many Science credits as Fine Arts credits, and at most twice as many Mathematics credits as Science credits, but with Liberal Arts credits exceeding Mathematics credits by no more than one third of the number of Fine Arts credits.
Science and fine arts credits cost $300 each, and liberal arts and mathematics credits cost $200 each. John would like to have Billy-Sean meet all the requirements at a minimum total cost.
a. Set up (without solving) the associated linear programming problem.
b. Use technology to determine how many of each type of credit Billy-Sean should take. What will the total cost be?
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