A community college offers courses in Computer Programing and Introduction to Computer Science. Each section of Computer Programming has 60 students and each section of Introduction to Computer Science has 30 students. The college is allowed to offer up to 90 sections. Furthermore, no more than 3000 students want to take once of these computer courses (no student can take more than one). Suppose the College makes $50,000 in profit on each section of Computer Programming and $40,000 in profit on each section Introduction to Computer Science. How many sections of each should they offer to maximize profit?
A community college offers courses in Computer Programing and Introduction to Computer Science. Each section of Computer Programming has 60 students and each section of Introduction to Computer Science has 30 students. The college is allowed to offer up to 90 sections. Furthermore, no more than 3000 students want to take once of these computer courses (no student can take more than one). Suppose the College makes $50,000 in profit on each section of Computer Programming and $40,000 in profit on each section Introduction to Computer Science. How many sections of each should they offer to maximize profit?
Given information
Each section of computer programming has student and profit is
And each section introduction of computer science has student and profit is
Given total section is and total students is
We have to find the sections of each should they offer to maximize profit.
Let number of section of computer programming and introduction of computer science is respectively.
Maximum profit is given by
According the given condition.
Since, total section is
Hence,
And total students is
Hence,
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