document.write( "Question 1161744: plese helpe me
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\n" ); document.write( "\n" ); document.write( "Sub Mart Inc. needs to decide the optimal price to charge and the optimal quantity to supply in the market. The demand function of the product is given as QD=40-2P, while the supply function of the product is given as QS=2P where P is the price, QD is quantity demanded, and QS is quantity supplied. Solve the following demand function is given as: QD=40-2P. Calculate the equilibrium price and quantity.
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Algebra.Com's Answer #785353 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "First of all, you need to know what the \"equilibrium\"\"+price\" and the \"equilibrium+\"\"quantity\" are. \r
\n" ); document.write( "\n" ); document.write( "The \"equilibrium+\"\"price\" is the price at which the quantity demanded equals the quantity supplied. \r
\n" ); document.write( "\n" ); document.write( "The \"equilibrium\"\"+quantity\" is the quantity bought and sold at the \"equilibrium\"\"+price\".
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\n" ); document.write( "Now looking at this problem, you are given:\r
\n" ); document.write( "\n" ); document.write( "the demand function \"QD=40+-+2P+\"
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\n" ); document.write( "the supply function \"QS=2P\"
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\n" ); document.write( "\n" ); document.write( "In order to find the \"equilibrium\"\"+price\" (\"P%5Be%5D\" ), we need: \r
\n" ); document.write( "\n" ); document.write( "\"quantity_+demanded+=+quantity+_supplied\", namely\r
\n" ); document.write( "\n" ); document.write( "\"QD=QS+\"\r
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\n" ); document.write( "\n" ); document.write( "so we have the following :\r
\n" ); document.write( "\n" ); document.write( "\"+40+-+2P+=+2P\", and solve for \"P\", \r
\n" ); document.write( "\n" ); document.write( "\"40+=+2P%2B2P+\"\r
\n" ); document.write( "\n" ); document.write( "\"40+=+4P+\"\r
\n" ); document.write( "\n" ); document.write( "\"P=10\"->the \"equilibrium\"\"+price\" (\"P%5Be%5D\" )\r
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\n" ); document.write( "\n" ); document.write( "so, we get \"P%5Be%5D+=+10\" (units), then we plug \"P%5Be%5D\" into either \"QD+\"or \"QS\" to find the \"equilibrium\"\"+quantity\" (\"Q%5Be%5D\") :
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\n" ); document.write( "\"Q%5Be%5D=40+-+2%2A10=20\" (units)\r
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