5. Suppose you have been hired as an economic consultant concerning the world demand for oil. The demand function is q(x) = 50,000 + 300x – 3x², 0

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Author:Erwin Kreyszig
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5. Suppose you have been hired as an economic consultant concerning the world demand for
oil. The demand function is
q(x) = 50,000 + 300x – 3x²,
0< x< 180,
where q is measured in millions of barrels of oil per day at a price of x dollars per barrel.
(a) Find the elasticity of demand function.
(b) Find the elasticity at a price of $75 per barrel. Is the demand elastic or inelastic at that
price?
(c) Find elasticity at a price of $100 per barrel. Is the demand elastic or inelastic at that
price?
(d) Find the elasticity at a price of $25 per barrel. Is the demand elastic or inelastic at that
price?
(e) At what price is revenue a maximum?
Transcribed Image Text:5. Suppose you have been hired as an economic consultant concerning the world demand for oil. The demand function is q(x) = 50,000 + 300x – 3x², 0< x< 180, where q is measured in millions of barrels of oil per day at a price of x dollars per barrel. (a) Find the elasticity of demand function. (b) Find the elasticity at a price of $75 per barrel. Is the demand elastic or inelastic at that price? (c) Find elasticity at a price of $100 per barrel. Is the demand elastic or inelastic at that price? (d) Find the elasticity at a price of $25 per barrel. Is the demand elastic or inelastic at that price? (e) At what price is revenue a maximum?
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