document.write( "Question 1111304: Suppose that the manufacturer of a gas clothes dryer has found that, when the unit price is p dollars, the revenue R (in dollars) is
\n" ); document.write( "Upper R left parenthesis p right parenthesis equals negative 8 p squared plus 48 comma 000 pR(p)=−8p2+48,000p
\n" ); document.write( "What unit price should be established for the dryer to maximize revenue? What is the maximum revenue? \n" ); document.write( "

Algebra.Com's Answer #726285 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+R%28p%29+=+-8p%5E2+%2B+48000p+\"$
\n" ); document.write( "This has the general form:
\n" ); document.write( " $\"+y+=+a%2Ax%5E2+%2B+b%2Ax+%2B+c+\"$
\n" ); document.write( "( $\"+c=0+\"$ )
\n" ); document.write( "The x-value of the vertex ( maximum in this case ) is:
\n" ); document.write( " $\"+x%5Bv%5D+=+-b%2F%282a%29+\"$
\n" ); document.write( "For your problem:
\n" ); document.write( " $\"+p%5Bv%5D+=+-48000%2F%28+2%2A%28-8%29%29+\"$
\n" ); document.write( " $\"+p%5Bv%5D+=+3000+\"$
\n" ); document.write( "Plug this value back into the eqution
\n" ); document.write( " $\"+R%5Bv%5D+=+-8%2A3000%5E2+%2B+48000%2A3000+\"$
\n" ); document.write( " $\"+R%5Bv%5D+=+-8%2A9000000+%2B+144000000+\"$
\n" ); document.write( " $\"+R%5Bv%5D+=+-72000000+%2B+144000000+\"$
\n" ); document.write( " $\"+R%5Bv%5D+=+72000000+\"$
\n" ); document.write( "At a unit price of $3,000, the maximum revenue is
\n" ); document.write( "$72 million
\n" ); document.write( "check my math\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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