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Lecture 6

# BISC 102 Lecture 6: Applying some Derivative Question

Department
Biological Sciences
Course Code
BISC 102
Professor
de
Lecture
6

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
Problem #1:


C(x)



R(x)'


P(x)'



x
 !
R
(
x
)
=75 x ; x>0
C
(
x
)
=0.0025 x2+60 x+100000
"#\$%
P
(
x
)
=R
(
x
)
C(x)
P
(
x
)
=75 x(0.0025 x2+60 x+100000)
P'
(
x
)
=0.005 x+1 5
0=0.005 x+15
15=−0.005 x
15
0.005 =x
x=300 0
P
(
x
)
=0.0025 x2+15 x100000
P
(
3000
)
=0.0025(3000)2+15
(
3000
)
100000
&'(()%%
*
#+
+,%%%
-
.
P
(
x
)
=0.0025 x2+15 x10000 0
#+
#&,%%%/#
+#+
01
++2##32
4#!5"
+maximum6!
/##
P(x)
+##2+
, ∞ ¿


∞ ,77500¿
/+

2.
/#7
1#+
#

,%%%#8

#
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