Question
Suppose the demand and supply curves of a commodity x in a perfectly competitive market are given by Qd = 700 - P and Qs = 500 + 3P. Find the equilibrium price and equilibrium quantity.
Solution
At equilibrium price
Quantity demanded (Qd) = Quantity supplied (Qs)
700 - P = 500 + 3P
4P = 200 or P = 50
Equilibrium quantity (demand side) = 700 - P = 700 - 50 = 650
Equilibrium quantity (supply side) = 500 + 3P = 500 + 150 = 650