The demand and supply functions of a good are given by Qd = 110-5p; Qs=6p where P, Qd and Qs denote price, quantity demanded and quantity supplied, respectively. Find the inverse demand and supply functions and the market equilibrium price and quantity.
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Answer:
Qd = 110-5P
5P = 110-Qd
P = 110-Qd/5
Qs = 6P
P = Qs/6
(ii) Find the equilibrium price and quantity
Solve simultaneously:
Qd = 110-5P
Qs = 6P
At equilibrium Qd = Qs
110-5P = 6P
Collect the terms
-5P-6P = -110
11P = 110
P = 110/11
P = 10
Solve for Q*
Qd = Qs = 6P = 6(10) = 60 = Q*
Explanation:
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