document.write( "Question 303147: Supply and Demand. The supply and demand for the sale of stereos by Sound Ideas are given by S(x)=e^x and D(x)=162,755e^-x, where S(x) is the price at which the company is willing to supply x stereos and D(x) is the demand price for a quantity of x stereos. Find the equilibrium point. \r
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Algebra.Com's Answer #217256 by stanbon(75887)\"\" \"About 
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Supply and Demand. The supply and demand for the sale of stereos by Sound Ideas are given by S(x)=e^x and D(x)=162,755e^-x, where S(x) is the price at which the company is willing to supply x stereos and D(x) is the demand price for a quantity of x stereos. Find the equilibrium point. \r
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\n" ); document.write( "Equilibrium occurs when Revenue = Cost.
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\n" ); document.write( "Solve : e^x = 162,755e^-x
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\n" ); document.write( "Multiply both sides by e^x to get:
\n" ); document.write( "e^(2x) = 162755
\n" ); document.write( "Take the natural log and solve for \"x\":
\n" ); document.write( "2x = ln(162755)
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\n" ); document.write( "x = 6
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\n" ); document.write( "Find the equilibrium point.
\n" ); document.write( "e^x = e^6 = 403.43
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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