SOLUTION: Suppose you are given the following information Qs = 100+ 3p Qd= 400 – 2p Where Qs is the quantity supplied, Qd is the quantity demanded and P is the price. 1) From the inf

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Question 919211: Suppose you are given the following information
Qs = 100+ 3p
Qd= 400 – 2p
Where Qs is the quantity supplied, Qd is the quantity demanded and P is the price.
1) From the information compute equilibrium price and quantity.
2) Now suppose that a tax is placed on buyers so that the Qd =400-(2p+T) where T is taxes. If T = 15, solve for the equilibrium new price and quantity.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Supply and demand are in equilibrium when Qd=Qs. In your case:
1. to find the equilibrium price, solve the two equations simultaneously:
Qs+=+100%2B+3p
Qd=+400+%96+2p
Qd=Qs=>
100%2B+3p=+400+%96+2p
3p%2B2p+=400-100
5p=+300
p=+300%2F5
p=+60
Equilibrium price is $60
To find the equilibrium quantity, substitute equilibrium price into the equations:
Qs+=+100%2B+3%2A60=100%2B180=280
Qd=+400+%96+2%2A60=400-120=280
You'll know if your answer is correct if both equilibrium quantities for supply and demand are the same, which in this case is 280.
2) Now suppose that a tax is placed on buyers so that the Qd++=400-%282p%2BT%29 where T is taxes. If T+=+15, solve for the equilibrium new price and quantity.

100%2B3P+=+400-2%28P%2B15%29
100%2B3P+=+400-2P+-+30
5P+=+270
P+=+54 (receive sellers)
Pd+=+54%2B15+=+69 (pay buyers)
Q+=+262
Tax_+Revenue+=+262%2A15+=+3930+