Math

Advanced MathQ&A LibraryPodunk 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?Question

Asked Dec 2, 2019

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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?

Step 1

Let *x *and *y *denotes the number of sections of finite math and applied calculus. Then given problem can be formulated as,

Step 2

That is,

Step 3

Sketch the region as...

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