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 equlibrium price.

Answer provided by our tutors

equilbrium price will be when

 q^2 + 40 q= -3 q^2 + 20 q + 7200.

=>4q^2+20q -7200=0

=>q^2 +5q-1800=0

=>q^2 +45q -40q -1800=0

=>(q+45)*(q-40)=0

=>q=40