document.write( "Question 973832: The demand equation for the Drake GPS Navigator is
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document.write( "x + 4p − 1100 = 0,
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document.write( " where x is the quantity demanded per week and p is the wholesale unit price in dollars. The supply equation
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document.write( "x − 21p + 1000 = 0,
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document.write( " where x is the quantity the supplier will make available in the market each week when the wholesale price is p dollars each. Find the equilibrium quantity and the equilibrium price for the GPS Navigators.\r
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document.write( "equilibrium quantity= units\r
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document.write( "equilibrium price $= \n" );
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Algebra.Com's Answer #596051 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The demand equation for the Drake GPS Navigator is: x + 4p - 1100 = 0, \n" ); document.write( "where x is the quantity demanded per week and p is the wholesale unit price in dollars. \n" ); document.write( ": \n" ); document.write( " The supply equation \n" ); document.write( "x - 21p + 1000 = 0, \n" ); document.write( "where x is the quantity the supplier will make available in the market each week when the wholesale price is p dollars each. \n" ); document.write( ": \n" ); document.write( " Find the equilibrium quantity and the equilibrium price for the GPS Navigators. \n" ); document.write( "equilibrium quantity= units \n" ); document.write( "equilibrium price $= \n" ); document.write( ": \n" ); document.write( "Equilibrium occurs when demand = supply, therefore \n" ); document.write( "x + 4p - 1100 = x - 21p + 1000 \n" ); document.write( "Subtract x from both sides \n" ); document.write( "4p - 1100 = -21p + 1000 \n" ); document.write( "4p + 21p = 1000 + 1100 \n" ); document.write( "25p = 2100 \n" ); document.write( "p = 2100/25 \n" ); document.write( "p = $84 equilibrium prices \n" ); document.write( "; \n" ); document.write( "Find x using the demand equation \n" ); document.write( "x + 4(84) - 1100 = 0 \n" ); document.write( "x + 336 - 1100 = \n" ); document.write( "x - 764 = 0 \n" ); document.write( "x = 764 units equilibrium qty \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solutions in the supply equation; x -21p + 1000 = 0 \n" ); document.write( "764 - 21(84) + 1000 = 0 \n" ); document.write( "764 - 1764 + 1000 = 0 \n" ); document.write( "- \n" ); document.write( " \n" ); document.write( " |