Optimal Timing A Problem of Wine Storage Extra Example • Ex: The growing value of wine, V, is $V = Ke^{2\sqrt{t}}$. When should the owner sell the wine in order to maximize profit. • Also check the second order condition
Added by Francisco C.
Close
Step 1
To determine the profit function, we need to subtract the initial cost of the wine from its value at a given time. Let's assume the initial cost of the wine is C. Therefore, the profit function, P, can be expressed as: P = V - C Show more…
Show all steps
Your feedback will help us improve your experience
Basques Licit and 62 other Microeconomics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Phillip, the proprietor of a vineyard, estimates that the first 10,000 bottles of wine produced this season will fetch a profit of $5/bottle. But if more than 10,000 bottles are produced, then the profit per bottle for the entire lot will drop by $0.0002 for each additional bottle sold. Assuming that at least 10,000 bottles of wine are produced and sold, what is the maximum profit?
Andrew D.
Phillip, the proprietor of a vineyard, estimates that the first 10,000 bottles of wine produced this season will fetch a profit of $\$ 5 /$ bottle. But if more than 10,000 bottles are produced, then the profit per bottle for the entire lot will drop by $\$ 0.0002$ for each additional bottle sold. Assuming that at least 10,000 bottles of wine are produced and sold, what is the maximum profit?
Applications of the Derivatives
Optimization II
Profit of a Vineyard Phillip, the proprietor of a vineyard, estimates that the first 10,000 bottles of wine produced this season will fetch a profit of $5 $ bottle. But if more than 10,000 bottles are produced, then the profit per bottle for the entire lot will drop by 0.0002 dollar for each additional bottle sold. Assuming that at least 10,000 bottles of wine are produced and sold, what is the maximum profit?
Applications of the Derivative
Recommended Textbooks
Principles of Economics
Principles of Microeconomics for AP® Courses
Economics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD