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Byju's Answer
Standard XII
Mathematics
Different Types of Intervals in Inequality
y = 48x - 2x2...
Question
y
=
48
x
−
2
x
2
where,
y
=
Total revenue
.
x = $ Output
At what output is total revenue a maximum?
A
2
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B
12
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C
48
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D
4
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Solution
The correct option is
A
12
⇒
We have given,
y
=
48
x
−
2
x
2
⇒
Differentiate on both sides w.r.t
x
we get,
⇒
d
y
d
x
=
48
−
4
x
--- ( 1 )
⇒
Let
d
y
d
x
=
0
⇒
48
−
4
x
=
0
⇒
4
x
=
48
⇒
x
=
12
is a turning point.
⇒
d
2
y
d
x
2
=
−
4
[Differentiate ( 1 ) on both sides]
⇒
So, the turning point is a maximum
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