document.write( "Question 1058958: 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) = 85P – 0.25P^2. What price will give the maximum revenue? \n" ); document.write( "
Algebra.Com's Answer #674054 by ikleyn(52781)\"\" \"About 
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\n" ); document.write( "A manufacturer of microwave ovens believes that the revenue R, in dollars, that the company receives is related to
\n" ); document.write( "the price P, in dollars, of an oven by the function R(P) = 85P – 0.25P^2. What price will give the maximum revenue?
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document.write( "They want you find the maximum of this quadratic function\r\n" );
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document.write( "R(P) = \"85P+-+0.25P%5E2\".\r\n" );
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document.write( "The general theory says that the quadratic function y(x) = \"ax%5E2+%2B+bx+%2B+c\" has the maximum/minimum at x = \"-b%2F2a\",\r\n" );
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document.write( "which in your case is \"-85%2F%282%2A%28-0.25%29%29\" = \"-85%2F%28-0.5%29\" = 170 dollars.\r\n" );
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document.write( "Answer.  170 dollars.\r\n" );
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\n" ); document.write( "\n" ); document.write( "There is a bunch of lessons in this site on finding the maximum/minimum of quadratic functions\r
\n" ); document.write( "\n" ); document.write( "    - HOW TO complete the square to find the minimum/maximum of a quadratic function\r
\n" ); document.write( "\n" ); document.write( "    - Briefly on finding the minimum/maximum of a quadratic function\r
\n" ); document.write( "\n" ); document.write( "    - HOW TO complete the square to find the vertex of a parabola\r
\n" ); document.write( "\n" ); document.write( "    - Briefly on finding the vertex of a parabola\r
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