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Question

y=48x2x2
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=48x2x2
Differentiate on both sides w.r.t x we get,
dydx=484x --- ( 1 )
Let dydx=0
484x=0
4x=48
x=12 is a turning point.
d2ydx2=4 [Differentiate ( 1 ) on both sides]
So, the turning point is a maximum

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