SOLUTION: D=-200p + 35,000The supply equation is predicted to be S= -p^2 +400p �20,000Find the equilibrium price.

Question 122059: D=-200p + 35,000The supply equation is predicted to be
S= -p^2 +400p �20,000Find the equilibrium price.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
D =-200p + 35,000 The supply equation is predicted to be
S = -p^2 +400p �20,000 Find the equilibrium price.
:
I assume you mean that equilibrium price (p) occurs when D = S, so we have;
:
-200p + 35000 = -p^2 + 400p - 20000
:
Arrange as a quadratic equation on the left:
+p^2 - 200p - 400p + 35000 + 20000 = 0
:
p^2 - 600p + 55000 = 0
:
Use the quadratic formula to find p:
a = 1; b = -600; c = 55000

:
; found the square root of 140000
Solution 1
;
;
p = $487.08
:
Solution 2:
;
;
p = $112.92
:
You should check both solutions by substitution in the original equation

RELATED QUESTIONS
D= -200p + 35,000 The supply equation is predicted to be S= -p^2 + 400p - 20,000 Find... (answered by mbarugel)

The demand equation for a certain type of printer is given by: D = -200p + 35,000 The... (answered by jim_thompson5910)

The demand equation for a certain printer is given by D = -200p +35,000 The supply... (answered by jim_thompson5910)

Please help with this word problem. The demand equation for a certain type of printer... (answered by Nate)

The demand equation for a certain type of printer is given by D=-200p+35,500. The supply (answered by ankor@dixie-net.com)

The demand equation for a certain type of printer is given by D= -200p + 35,000 The... (answered by stanbon)

The demand equation for a certain type of printer is given by D= - 200p + 35,000 The... (answered by jim_thompson5910)

the demand equation for a certain type of printer is given by d=-200p=35,000 the... (answered by jim_thompson5910)

the demand equation for a certain type of printer is given by D = -200p + 35,000 The... (answered by checkley71)