document.write( "Question 2302: find the maximum revenue for the revnue function R(x)= 140x - 0.02 x to the second power. \n" ); document.write( "

Algebra.Com's Answer #943 by matthew_sessoms(39) $\"\"$ $\"About$

You can put this solution on YOUR website!
You can graph this or use the \"complete the square\" (CTS) method. I'll do both. I won't go into detail how to \"complete the square\" but rather show my steps. If you're not familiar with CTS, write back and I'll tell you.
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\n" ); document.write( "R(x)=140x-.02x^2
\n" ); document.write( "y=-.02x^2+140x
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\n" ); document.write( "Factor out the -.02
\n" ); document.write( " $\"y+=+-.02%28x%5E2-7000x%29\"$
\n" ); document.write( " $\"y=-.02%28x%5E2-7000x%2B12250000%29%2B245000\"$
\n" ); document.write( " $\"y=-.02%28x-3500%29%5E2%2B245000\"$
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\n" ); document.write( "This is now in the form of: $\"y=a%28x-h%29%5E2%2Bk\"$ , where (h,k) is the vertex. \"k\" is the maximum if \"a\" is negative. \"k\" is the minimum if \"a\" is positive.
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\n" ); document.write( "So, (3500, 245000) is the vertex.
\n" ); document.write( "245000 is the maximum
\n" ); document.write( "Here is the graph to prove my statements.
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\n" ); document.write( "MS \n" ); document.write( "

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