document.write( "Question 101682: I am lost about where to put the data. Please help. The question is;
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document.write( "Let the supply and demand functions for sweaters in dollars be:
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document.write( "supply: p=9q+6
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document.write( "demand: p=76-5q
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document.write( "a. Find the equilibrium demand.
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document.write( "b. Find the equilibrium price.\r
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document.write( "Thank you for your time \n" );
document.write( "
Algebra.Com's Answer #74063 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! : \n" ); document.write( "Let the supply and demand functions for sweaters in dollars be: \n" ); document.write( ": \n" ); document.write( "supply: p = 9q + 6 \n" ); document.write( "demand: p= 76 - 5q \n" ); document.write( ": \n" ); document.write( "q = number of items \n" ); document.write( ": \n" ); document.write( "a. Find the equilibrium demand. \n" ); document.write( ": \n" ); document.write( "Equilibrium demand occurs when supply = demand so we have: \n" ); document.write( ": \n" ); document.write( "Supply = demand \n" ); document.write( "9q + 6 = 76 - 5q \n" ); document.write( "Solving for q tells us the number of items \n" ); document.write( "9q + 5q = 76 - 6 \n" ); document.write( "14q = 70 \n" ); document.write( "q = 70/14 \n" ); document.write( "q = 5 items (sweaters) sold will give equilibrium \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "b. Find the equilibrium price. \n" ); document.write( ": \n" ); document.write( "Substitute 5 for q in either equation to find the price \n" ); document.write( "p = 9q + 6 \n" ); document.write( "p = 9(5) + 6 \n" ); document.write( "p = 45 + 6 \n" ); document.write( "p = $51 \n" ); document.write( ": \n" ); document.write( "Doing the same in the demand equation will confirm our solution: \n" ); document.write( "p = 76 - 5q \n" ); document.write( "p = 76 - 5(5) \n" ); document.write( "p = 76 - 25 \n" ); document.write( "p = $51 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Does this make sense to you now? \n" ); document.write( " |