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