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Mathematics
Mathematics
Problem
A company models its weekly profit (in thousands of rupees) from selling
x
x
x
hundred gadgets by
P
(
x
)
=
−
2
x
3
+
15
x
2
+
36
x
+
5
,
0
≤
x
≤
10.
P(x)=-2x^{3}+15x^{2}+36x+5, \qquad 0\le x\le10.
P
(
x
)
=
−
2
x
3
+
15
x
2
+
36
x
+
5
,
0
≤
x
≤
10.
Determine the value of
x
x
x
that gives the maximum profit and find this maximum profit.
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