The profit function for a certain commodity is P(x) = 140x − x2 − 1000. Find the level of production that yields maximum profit, and find the maximum profit. x = units P = $

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A: We can answer both the question in the below steps.

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A: Prove R is an equivalnce relation.

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A: since you have posted multiple questions i can do first question as per our company guidelines.…

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A: Note : As per our Guidelines , we can solve first question . Please repost remaining question .

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A: See this solution in below.

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Q: Find the difference quotient: 20) f(x) = x² - 6 f(x+h)-f(x), for the following function h

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A: We can find the greatest common factor in the below steps.

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Q: Question 1  The typical total profit graphical presentation   is shown as

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A: We can solve this as follows:

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