Suppose Qd=-50*P+806, Qs=37*P+18 for home and Qd*=-50*P+136, Qs*=37*P+30 for foreign. What is the free trade price to two decimal places?
Answer:
Given:
For Home: Qd=-50*P+806, Qs=37*P+18
For Foreign : Qd*=-50*P+136, Qs*=37*P+30
Total quantity demanded (Q'): Qd + Qd*
Q' = -50P + 806 – 50P + 136 = -100P + 942
Total quantity supplied (Q''): Qs + Qs*
Q'' = 37P + 18 + 37P + 30 = 74P + 48
Equilibrium is attained when Q' = Q"
-100P + 942 = 74P + 48
174P = 894
P = 5.137 (Free trade price)
Thus free trade price is 5.14
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