document.write( "Question 919211: Suppose you are given the following information
\n" ); document.write( "Qs = 100+ 3p
\n" ); document.write( "Qd= 400 – 2p
\n" ); document.write( "Where Qs is the quantity supplied, Qd is the quantity demanded and P is the price.
\n" ); document.write( " 1) From the information compute equilibrium price and quantity.\r
\n" ); document.write( "\n" ); document.write( " 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.
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Algebra.Com's Answer #557567 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( " Supply and demand are in equilibrium when \"Qd=Qs\". In your case:\r
\n" ); document.write( "\n" ); document.write( "1. to find the equilibrium price, solve the two equations simultaneously:\r
\n" ); document.write( "\n" ); document.write( "\"Qs+=+100%2B+3p\"
\n" ); document.write( "\"Qd=+400+%96+2p\"\r
\n" ); document.write( "\n" ); document.write( "\"Qd=Qs\"=>\r
\n" ); document.write( "\n" ); document.write( "\"100%2B+3p=+400+%96+2p\"
\n" ); document.write( "\"3p%2B2p+=400-100\"
\n" ); document.write( "\"5p=+300\"
\n" ); document.write( "\"p=+300%2F5\"
\n" ); document.write( "\"p=+60\"\r
\n" ); document.write( "\n" ); document.write( "Equilibrium price is $\"60\"\r
\n" ); document.write( "\n" ); document.write( "To find the equilibrium quantity, substitute equilibrium price into the equations:\r
\n" ); document.write( "\n" ); document.write( "\"Qs+=+100%2B+3%2A60=100%2B180=280\"
\n" ); document.write( "\"Qd=+400+%96+2%2A60=400-120=280\"\r
\n" ); document.write( "\n" ); document.write( "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\".\r
\n" ); document.write( "\n" ); document.write( "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. \r
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\n" ); document.write( "\n" ); document.write( "\"100%2B3P+=+400-2%28P%2B15%29\"
\n" ); document.write( "\"100%2B3P+=+400-2P+-+30\"
\n" ); document.write( "\"5P+=+270\"
\n" ); document.write( "\"P+=+54\" (receive sellers)
\n" ); document.write( "\"Pd+=+54%2B15+=+69\" (pay buyers)
\n" ); document.write( "\"Q+=+262\"
\n" ); document.write( "\"Tax_+Revenue+=+262%2A15+=+3930+\"\r
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