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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Thread 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
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