1. A college offers two courses: Finite Math and Applied calculus. Each section of Finite Math has 60 students, and each section of Applied Calculus has 50. The department is allowed to offer up to 110 sections of mathematics. Furthermore, no more than 6000 students can take a math course. There are only 70 faculty certified to teach the Finite Math course. Suppose the University makes a profit of $100,000 on each section of Finite Math and $50,000 on each section of Applied Calculus. How many sections of each course should the college offer