Calculus 12 Chapter 7 Worksheet 2 #2
Calculus 12 Chapter 7 Worksheet 2 #2
Calculus 12 Chapter 7 Worksheet 2 #2
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<strong>Calculus</strong> <strong>12</strong> <strong>Chapter</strong> 7 <strong>Worksheet</strong> 2 <strong>#2</strong><br />
2. The rate at which people enter an amusement park on a given day is given by the function:<br />
15600<br />
E ( t)<br />
=<br />
2<br />
t − 24t<br />
+ 160<br />
The rate at which people leave the same amusement park is given by the function:<br />
9890<br />
L ( t)<br />
=<br />
2<br />
t − 38t<br />
+ 370<br />
Both E(t) and L(t) are measured in people per hour and t is measured from midnight.<br />
The park is open from 9 ≤ t ≤ 23 . At t=9 there is no one in the park.<br />
a) How many people have entered the park by t=17?<br />
b) How many people enter the park between t=17 and t=23?<br />
c) Ticket prices are $15 until 5PM (t=17) and then only $11 until the close of the park. How much<br />
revenue does the park make in one day?
d) When is the number of people in the park a maximum?
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