Podunk Insititute of Technology's Math Department 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...

Podunk Insititute of Technology's Math Department 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 a total of up to 110 sections. Furthermore, no more than 6,000 students want to take a math course. (No student will take more than one math course.) Sppose 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 department offer to make the largest profit?