SOLUTION: I am stuck on this one, please help me. Business and finance: The demand equation for certain type of printer is given by D = -200p + 35,000 The supply equation is predic

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Question 49207: I am stuck on this one, please help me.
Business and finance: The demand equation for 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 price equilibrium price.

Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
i am assuming the equilibrium price is when supply=demand? If so, then use that...the 2 equations have to be equal:

+-200p+%2B+35000+=+-p%5E2+%2B+400p+-20000+
+p%5E2+-+200p+%2B+35000+=+400p+-20000+
+p%5E2+-+600p+%2B+35000+=+-20%2C000+
+p%5E2+-+600p+%2B+55000+=+0+

So, factorise or use the quadratic formula to solve to get your answer(s).

jon.