Phillip, the Proprietor of a Vineyard, Estimates That the First

question 46

Short Answer

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 $0.0002 for each additional bottle sold. Assuming at least 10,000 bottles of wine are produced and sold, what is the maximum profit? Round the answer to two decimal places.
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The maximum profit is $__________
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What would be the price/bottle in this case? Round the answer to the nearest cent.
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$__________/bottle

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Definitions:

Insulin

A hormone produced by the pancreas that regulates blood sugar levels by facilitating the uptake of glucose into tissues.

Insulin

a hormone produced by the pancreas that regulates the level of glucose in the blood, essential for maintaining healthy blood sugar levels.

Eating Hunger

The physiological need or desire to consume food, triggered by the body's energy requirements.

Lateral Hypothalamus

An area of the brain involved in many functions, including hunger, thirst, and the body's response to overheating or overcooling.