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The following equations describe the supply and demand for crude oil in the United States in the mid-1980s: (Quantity supplied = "S") (Quantity demanded = "D") S = -2 + (1/2)P S = 15 - (1/4)P Where price (P) is given in dollars and quantity in millions of barrels per day. The domestic equilibrium price is $22.67 per barrel with 9.3 million barrels traded per day. If the world price is below this equilibrium price, a domestic shortage will develop. We can deal with this shortage by purchasing crude oil from foreign suppliers. Determine the quantity of imports when the world price is $11.00 per barrel.

User Chipmunk
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2 Answers

4 votes

Final answer:

To calculate the quantity of imports when the world price is $11.00, we would need to determine the domestic quantity demanded at that price, but the demand equation is not provided. We can only find quantity supplied which is 3.5 million barrels per day for the given price. Without the demand equation, we can't find the exact import quantity needed.

Step-by-step explanation:

The question pertains to the supply and demand for crude oil in the United States during the mid-1980s and how the world price of oil can affect domestic oil imports. You have provided two equations representing the supply (S) and demand (D) for crude oil, where S = -2 + (1/2)P and S = 15 - (1/4)P with P representing price and quantity in millions of barrels per day.

To determine the quantity of imports when the world price is $11.00 per barrel, we first need to find the domestic quantity supplied and demanded at that price using the given equations.

For the world price P = $11.00:

Quantity supplied (S) = -2 + (1/2)(11) = 3.5 million barrels per day

Quantity demanded (D) is given by the second equation meant to represent demand, not supply. Hence, we need the correct equation for D to calculate the domestic quantity demanded at the price of $11.

However, since the demand equation is not provided in the question, we cannot calculate the exact figure for the quantity demanded, and therefore, cannot directly determine the quantity of imports required to meet the domestic shortage caused by the world price being less than the domestic equilibrium price.

User Kenecaswell
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5 votes

Answer: The equilibrium price is $68, Quantity 32 million barrel, The quantity to import is 53 million barrel

Step-by-step explanation:

Given that D = -2 + (1/2)P, S = 15 - (1/4)P

At equilibrium Qd = Qs

-2 + (1/2)P = 15 - (1/4)P

Change 1/2 P and 1/4 P to decimal we have 0.5, and 0.25 respectively

Collect like terms

-2 -15 = 0.25P - 0.5P

17 = 0.25P

Divide both sides by P

17/0.25 = 0.25P /0.25

68 = P

P = 68

Substitute the value of P into equation 1 and 2 determine the value of Q

-2 + 0.5 (68)

-2 + 34

= 32

15 - 0.25 (68)

15 + 17

= 32

To determine the quantity to import when world price is $11.00 per barrel ,substitute the value into equation 1

-2 + 0.5 (11)

-2 + 55

= 53

Therefore quantity to import is 53 millions barrel

User Zhangxaochen
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