document.write( "Question 1059344: A manufacturer of microwave ovens believes that the revenue R, in dollars, that the company receives is related to the price P, in dollars, of an oven by the function R(P) = 110P – 0.25P^2. What price will give the maximum revenue? \n" ); document.write( "

Algebra.Com's Answer #674400 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+R%28P%29+=+110P+-+.25P%5E2+\"$
\n" ); document.write( "Use the formula for the vertex
\n" ); document.write( "of a parabola, $\"+P%5Bv%5D+=+-b%2F%282a%29+\"$
\n" ); document.write( " $\"+a+=+-.25+\"$
\n" ); document.write( " $\"+b+=+110+\"$
\n" ); document.write( " $\"+P%5Bv%5D+=+-110%2F%28+2%2A%28-.25%29%29+\"$
\n" ); document.write( " $\"+P%5Bv%5D+=+110%2F.5+\"$
\n" ); document.write( " $\"+P%5Bv%5D+=+220+\"$
\n" ); document.write( "$220 gives the maximum revenue
\n" ); document.write( "-------------------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+R%28220%29+=+110%2A220+-+.25%2A220%5E2+\"$
\n" ); document.write( " $\"+R%28220%29+=++24200+-+12100+\"$
\n" ); document.write( " $\"+R%28220%29+=+12100+\"$
\n" ); document.write( "The maximum revenue is $12,100
\n" ); document.write( "Here's the plot:
\n" ); document.write( " $\"+graph%28+500%2C+500%2C+-100%2C+500%2C+-1500%2C+15000%2C+-.25x%5E2+%2B+110x+%29+\"$
\n" ); document.write( "Looks about right \n" ); document.write( "

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