SOLUTION: 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

SOLUTION: 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

Question 100158: 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.
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
D=S OR:
-200P+35,000=-P^2+400P-20,000
P^2-200P-400P+35,000+20,000=0
P^2-600P+55,000=0
USING THE QUADRATIC EQUATION WE GET:

X=(600+-SQRT[-600*-600-4*1*55000])/2*1
X=(600+-SQRT[360,000-220,000])/2
X=(600+-SQRT140000])/2
X=(600+-374.1657)/2
X=(600+374.1657)/2
X=974.1657/2
X=487 ANSWER FOR THE EQUILIBRIUM PRICE.
X=(600-374.1657)/2
X=228.8343/2
X=112.9 ANSWER.
RELATED QUESTIONS
The demand equation for a certain type of printer is given by: D = -200p + 35,000 The... (answered by jim_thompson5910)

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

Business and finance. The demand equation for a certain type of printer is given by D=... (answered by stanbon)

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 (answered by longjonsilver)

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)

Could someone please help me solve this word problem? The demand equation for a... (answered by edjones)