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(Solved): Please show the solving steps. Thank you in advance. An espresso stand finds that its weekly prof ...



An espresso stand finds that its weekly profit is a function of the price, \( x \), it charges per cup. If \( x \) is in doll Please show the solving steps.

Thank you in advance.

An espresso stand finds that its weekly profit is a function of the price, , it charges per cup. If is in dollars, the weekly profit is dollars. (a) What is the maximum weekly profit. \$ (Round to the nearest cent and do not include any commas in your answer.) (b) What price per cup that produces that maximum profit? \$ (Round to the nearest cent.) (c) Which of the two functions below gives a function that has the same maximum profit? A. B. (d) Based on the function in your answer to (c) above, what price per cup of produces that maximum profit? \$ (Round to the nearest cent.) (e) Which of the two functions below gives gives a function where the price per cup that produces the maximum profit remains unchanged? A. B. (f) Based on the function in your answer to (e) above, what is that maximum weekly profit? \$ (Round to the nearest cent.)


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Given profit functionP(x)=?3,100x2+11,470x
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