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Phillip, the proprietor of a vineyard, estimates that the first 10,000 bottles of wine produced this season will fetch a profit of $4/bottle. However, the profit from each bottle beyond 10,000 drops by $0.0004 for each additional bottle sold.
Assuming at least 10,000 bottles of wine are produced and sold, what is the maximum profit? What would be the price/bottle in this case?
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