Problema Solution

The supply function for a certain thing is q^2 + 40 q and the demand function is -3 q^2 + 20 q + 7200.

Find the equilibrium quantity and equlibrium price.

Answer provided by our tutors

Supply=Demand

q^2 + 40 q = -3 q^2 + 20 q + 7200

4q^2 +20q -7200 = 0

q=40

So the equilibrium quantity is q=40, the equlibrium price is $3200