SOLUTION: Can someone help me out with this problem? D= -200p + 35,000 The supply equation is predicted to be S = p^2 + 400 p - 20,000 Find the equilibrium price.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Can someone help me out with this problem? D= -200p + 35,000 The supply equation is predicted to be S = p^2 + 400 p - 20,000 Find the equilibrium price.      Log On


   

Question 50921This question is from textbook Beginning Algebra
: Can someone help me out with this problem?
D= -200p + 35,000
The supply equation is predicted to be
S = p^2 + 400 p - 20,000
Find the equilibrium price. This question is from textbook Beginning Algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
D= -200p + 35,000
The supply equation is predicted to be
S = p^2 + 400 p - 20,000
Find the equilibrium price.
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I guess you have equilibrium when S = D, so:
-200p+35000=p^2+400p-20000
p^2+600p-55000=0
p=[-600+-sqrt(600^2-4(-55000)]/2
p=80.79 or -380.79
I think only the positive value applies.
Cheers,
Stan H.