Phillip, the proprietor of a vineyard, estimates that the first 10700 bottles of wine produced this season will fetch a profit of $6 per bottle. However, the profit from each bottle beyond 10700 drops by $0.0001 for each additional bottle sold. Assuming at least 10700 bottles of wine are produced and sold, what is the maximum profit? (Round your answer correct to the nearest cent.) $ What would be the profit/bottle in this case? (Round the number of bottles down to the nearest whole bottle. Round your answer correct to the nearest cent.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Phillip, the proprietor of a vineyard, estimates that the first 10700 bottles of wine produced this season will fetch a profit of $6 per bottle. However, the profit from each bottle beyond 10700 drops by $0.0001 for each additional bottle sold. Assuming at least 10700 bottles of wine are produced and sold, what is the maximum profit? (Round your answer correct to the nearest cent.)
$

What would be the profit/bottle in this case? (Round the number of bottles down to the nearest whole bottle. Round your answer correct to the nearest cent.)

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