Phillip, the proprietor of a vineyard, estimates that the first 10,000 bottles of wine produced this season will fetch a profit of $2/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?
A) The maximum profit is $40,500.00, the price/bottle is $3.20/bottle
B) The maximum profit is $22,500.00, the price/bottle is $3.00/bottle
C) The maximum profit is $28,500.00,the price/bottle is $3.00/bottle
D) The maximum profit is $46,500.00, the price/bottle is $3.40/bottle
E) The maximum profit is $34,500.00, the price/bottle is $3.10/bottle
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