SOLUTION: The demand and supply curves for a good are given as Pd=100-(q+4)^2 and Ps=(q+2)^2 respectively where q is in thousands. Find the equilibrium price and quantity of the good.

Algebra.Com
Question 1101028: The demand and supply curves for a good are given as Pd=100-(q+4)^2 and Ps=(q+2)^2 respectively where q is in thousands. Find the equilibrium price and quantity of the good.
Answer by jorel1380(3719)   (Show Source): You can put this solution on YOUR website!
100-(q+4)²=(q+2)²
100-q²-8q-16=q²+4q+4
2q²+12q-80=0
q²+6q-40=0
(q+10)(q-4)=0
q=4,-10
The equilibrium quantity is 4000
100-64=36
The equilibrium price is 36
☺☺☺☺

RELATED QUESTIONS

The supply and demand for a product are given by 2p − q = 60 and pq = 100 + 25q,... (answered by Resolver123)
Find the equilibrium quantity and equilibrium price for the commodity whose supply and... (answered by MathLover1)
Find the equilibrium quantity and equilibrium price for the commodity whose supply and... (answered by MathLover1)
Suppose the supply and demand for a certain textbook are given by ​supply: p= 1/5q^2... (answered by MathLover1)
The Demand equation for an item currently being marketed is given by D(q) = −0.2 ⋅... (answered by Theo)
Hi, I have the following question and I don't know what to do. It is the demand for... (answered by Hook)
the supply function for a commodity is given by p2squared=q+5 and the demand is given by... (answered by longjonsilver)
In a certain city, the price – demand and price – supply equations for CDs are p =... (answered by ewatrrr)
Given the demand function of a good is AYPQ 2 121 00   Where Q,P,Y and A... (answered by ikleyn)