MHB What is the average profit on producing and selling 40 items per day

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The discussion focuses on calculating the average profit from producing and selling 40 items per day, using the average cost function AC(x) = (100x + 2)/x and average revenue function AR(x) = (100x + 3)/x. Participants clarify the correct formulation of these functions, emphasizing that profit is derived from the difference between revenue and cost. The question also addresses how many items need to be sold to achieve an average daily profit of $80. Understanding the definitions of revenue and cost is crucial for accurate profit calculation. The conversation highlights the importance of correctly interpreting mathematical functions in business contexts.
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business has an average cost of AC(x)= 100x+2x/x and its average revene per day is AR(x)= 100x+3/x

what is the average profit on producing and selling 40 items per day

how many must we sell to get an average daily of $80?
 
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fxacx said:
business has an average cost of AC(x)= 100x+2x/x and its average revene per day is AR(x)= 100x+3/x

what is the average profit on producing and selling 40 items per day

how many must we sell to get an average daily of $80?
Please go back, reread the problem, and copy it correctly! I feel sure the average cost is NOT "
100x+2x/x= 100x+ 2". I might guess (100x+ 2x)/x but that is just 102. My best guess is that you meant "AC(x)= (100x+ 2)/x and that AR(x)=(100x+ 3)/x, NOT "100x+ 3/x".

Now, do you know what "revenue" and "cost" mean and how to find profit from them?
 
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Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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