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. An engineering department chair wants to maximize the use of scholarship dollars to shape the enrollment of the incoming freshmen. All applicants take an engineering aptitude test and receive a scholarship based on their score. Here is the scholarship award amount:
Test Score 80 85 90 95 100
Scholarship Amount $2,180 $2,500 $3,080 $4,080 $4,430

The department chair wants to
• award scholarships to 100 students
• with at least 5 scholarships given to students in each test score
• and a total of $350,000 spent on the 100 scholarships.
What is the maximum average test score the freshmen class can have?

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