Podunk Institute 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 up to 110 sections total.
Furthermore, no more than 6000 students want to take a math course, and no student will
take more than one 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.
We want to formulate an LP to figure out how many sections of each course to offer in order
to maximize the university's profit.
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 total.
Furthermore, no more than 6000 students want to take a math course, and no student will
take more than one 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.
We want to formulate an LP to figure out how many sections of each course to offer in order
to maximize the university's profit.