Answer to Question #121100 in Microeconomics for Aya

Question

Find the equilibrium price and equilibrium quantity from the following relations describes demand and supply conditions in a given industry.
QD = 80000 –20000P (Demand)
QS = -20000 + 20000P (Supply)
Where Q is quantity and P is price in dollars.

Answer 1

At Equilibrium supply is equal demand,

To work work out Price and Quantity at Equilibrium we equate supply to demand as follows;

$QD=80,000-20,000P=QS=-20,000+20,000P$

$80,000-20,000P=-20,000+20,000P$

Equate the likes together,

Price at Equilibrium,PE

$80,000+20,000 =20,000P+20,000P$

$100,000=40,000P$

$PE=2.50/$

To calculate Quantity we can use one of the equations since we have the value of price

Quantity at Equilibrium,QE

$QD=80,000- ( 20,000*2.5)$

$QE =30,000$