Given the following market function, find the equilibrium price and quantity:
[6 marks]
Qd = 54 – 4p
Qs = 4 + 4p
At equilibrium,
Qd=QsQ_d=Q_sQd=Qs
54−4p=4+4p54-4p=4+4p54−4p=4+4p
54−4=4p+4p54-4=4p+4p54−4=4p+4p
50=8p50=8p50=8p
P=6.25P=6.25P=6.25
Qd=54−4p=54−4(6.25)=29.Q_d=54-4p=54-4(6.25)=29.Qd=54−4p=54−4(6.25)=29.
∴\therefore∴ Equilibrium price and quantity are 6.25 and 29 respectively.
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