Demand for oil. Suppose that you have been hired as an economic consultant concerning

Chapter 3, Problem 14

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Demand for oil. Suppose that you have been hired as an economic consultant concerning the world demand for oil. The demand function is q = D1x2 = 63,000 + 50x - 25x2, 0 x 50, where q is measured in millions of barrels of oil per day at a price of x dollars per barrel. a) Find the elasticity. b) Find the elasticity at a price of $10 per barrel, stating whether the demand is elastic or inelastic at that price. c) Find the elasticity at a price of $20 per barrel, stating whether the demand is elastic or inelastic at that price. d) Find the elasticity at a price of $30 per barrel, stating whether the demand is elastic or inelastic at that price. e) At what price is the revenue a maximum? f) What quantity of oil will be sold at the price that maximizes revenue? Compare the current world price to your answer. g) At a price of $30 per barrel, will a small increase in price cause the total revenue to increase or decrease?

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