1. 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
|
$2,290
|
$2,590
|
$3,250
|
$3,880
|
$4,150
|
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?