Maximize Revenue: Oil Price & Barrels Sold

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SUMMARY

The discussion focuses on maximizing revenue for an oil-producing country selling 1 million barrels of oil daily at $120 per barrel. It establishes that for every $1 increase in price, sales decrease by 10,000 barrels per day. The optimal price point for maximizing revenue can be determined by formulating a revenue function and applying calculus to find its maximum. This approach involves understanding the relationship between price, quantity sold, and total revenue.

PREREQUISITES
  • Understanding of basic calculus principles, particularly derivatives.
  • Familiarity with revenue functions and their components.
  • Knowledge of how price elasticity affects sales volume.
  • Ability to formulate equations based on given variables.
NEXT STEPS
  • Learn how to derive revenue functions in economics.
  • Study the application of calculus in optimization problems.
  • Explore the concept of price elasticity of demand in detail.
  • Investigate real-world case studies on oil pricing strategies.
USEFUL FOR

Economists, financial analysts, business strategists, and anyone involved in pricing strategy within the oil and gas industry.

kristy.ss
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I am having trouble getting this problem started.
An oil producing country can sell 1 million barrels of oil a day at a price of $120 per barrel. If each $1 price increase will result ina sales decrease of $10,000 barrels per day, what price wil maximize the country's revenue? How many barrels will it sell at that price?
 
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Always good to start simple. What are you asked to maximize? What are the variables involved? Write a simple equation for the thing you are trying to maximize as a function of the variables. In general, what does one need to do to find the maximum of a function (think calculus)? That should at least get you started in the right direction.
 

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