SOLUTION: Business and finance: The demand equation for a certain type of printer is given by D = -200p + 35,000 the supply equation is predicted to be S = -p^2 + 400p - 20,000 Fin

Algebra.Com
Question 121304: Business and finance:
The demand equation for a certain type of printer is given by
D = -200p + 35,000
the supply equation is predicted to be
S = -p^2 + 400p - 20,000
Find the equilibrium price.
I would really appreciate some help on this, Thank you very much.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The demand equation for a certain type of printer is given by
D = -200p + 35,000
the supply equation is predicted to be
S = -p^2 + 400p - 20,000
Find the equilibrium price.
-------------------------
Equilibrium occurs when supply equal demand.
EQUATION:
-200p+35000 = -p^2+400p-20000
p^2 - 600p +55000 = 0
p = [600 +- sqrt(600^2-4*55000)]/2
p = [600 +- sqrt140000]/2
Positive answer:
p = (600+374.1657)/2
p = $487.08
=================
Cheers,
Stan H.

RELATED QUESTIONS

Business and finance. The demand equation for a certain type of printer is given by D=... (answered by stanbon)
Business and finance. The demand equation for a certain type of printer is given by... (answered by stanbon)
Please help I do not know where to start or finish. Business and Finance. The demand... (answered by dolly)
I am having a problem with this word problem, I am not good at them and need some help. (answered by stanbon)
I am stuck on this one, please help me. Business and finance: The demand equation for (answered by longjonsilver)
Can someone show me how to do this one? Business and Finance. The demand equation for (answered by scott8148)
The demand equation for a certain type of printer is given by: D = -200p + 35,000 The... (answered by jim_thompson5910)
Business and Finance. A demand equation (sometimes called a demand curve) shows how much (answered by stanbon)
Please help with this word problem. The demand equation for a certain type of printer... (answered by Nate)