Question Solved1 Answer A boy is selling lemonade throughout the hot summer. Suppose the number of cups sold is given by the function n(x) = x2 + 2 where the price, x, in dollars determines the number of cups sold per day, n, in hundreds. What is the price that maximizes the number of cups sold? How many cups are sold at this price?

7SBJWJ The Asker · Calculus
Transcribed Image Text: A boy is selling lemonade throughout the hot summer. Suppose the number of cups sold is given by the function n(x) = x2 + 2 where the price, x, in dollars determines the number of cups sold per day, n, in hundreds. What is the price that maximizes the number of cups sold? How many cups are sold at this price?
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Transcribed Image Text: A boy is selling lemonade throughout the hot summer. Suppose the number of cups sold is given by the function n(x) = x2 + 2 where the price, x, in dollars determines the number of cups sold per day, n, in hundreds. What is the price that maximizes the number of cups sold? How many cups are sold at this price?
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Step 1If you like the solution then please give it a thumbs up...The Answer is:    The price that maximizes the selling is x= 2    Total number of cups is 300 cups.Step 2Explanation:Given:n(x)= x^(2-x) + 2=> n(x)= x^2 / x^x  + 2We need to find the maximum value. Now we will find th ... See the full answer