Resource Allocation 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 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.) Suppose the university makes a profit of $100,000 on each section of Finite Math and $50,000 on each section of Applied Calculus. (The profit is the difference between what the students are charged and what the professors are paid.) How many sections of each course should the department offer to make the largest profit? [ HINT: See Example 2.]
Resource Allocation 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 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.) Suppose the university makes a profit of $100,000 on each section of Finite Math and $50,000 on each section of Applied Calculus. (The profit is the difference between what the students are charged and what the professors are paid.) How many sections of each course should the department offer to make the largest profit? [ HINT: See Example 2.]
Resource AllocationPodunk 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 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.) Suppose the university makes a profit of $100,000 on each section of Finite Math and $50,000 on each section of Applied Calculus. (The profit is the difference between what the students are charged and what the professors are paid.) How many sections of each course should the department offer to make the largest profit? [HINT: See Example 2.]
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