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Production function , profit maximization

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Production function , profit maximization

Jinx
A firm has a production function Q=4√x and q is qty. Of output and input respectively. And price of output is 80 per unit and price of input is 20 per unit, then what will be the maximum profit that firm can earn?
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Re: Production function , profit maximization

soimmoi
didn't get your question
is this question from some entrance exam
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Re: Production function , profit maximization

Amit Goyal
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In reply to this post by Jinx
Maximize 80(4√x) - 20 x with respect to x, and you will get

x = 64

Consequently, Q = 32.
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Re: Production function , profit maximization

Jinx
In reply to this post by soimmoi
Yes. I found it in sample paper
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Re: Production function , profit maximization

Jinx
In reply to this post by Amit Goyal
Thank you sir. I got it.