document.write( "Question 1209304: The Art of Problem Solving has begun selling a cookbook called \"What Would Euler Eat?\" If the price of the cookbook is n dollars (n \le 10), then it will sell 100 - 10n copies. What price per book (in dollars) will maximize the total revenue we receive for all the books sold? \n" ); document.write( "

Algebra.Com's Answer #848130 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "The Art of Problem Solving has begun selling a cookbook called \"What Would Euler Eat?\"
\n" ); document.write( "If the price of the cookbook is n dollars (n <= 10), then it will sell 100 - 10n copies.
\n" ); document.write( "What price per book (in dollars) will maximize the total revenue we receive for all the books sold?
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document.write( "At n <= 10, the total revenue is\r\n" );
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document.write( "    R(n) = n*(10-n) = 10n - n^2.\r\n" );
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document.write( "This formula represent a downward parabola, so it has a maximum.\r\n" );
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document.write( "The maximum/(the vertex) is at  n = , where \"a\" is the coefficient at n^2, \r\n" );
document.write( "\"b\" is the coefficient at n\r\n" );
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document.write( "       = =  = 5.\r\n" );
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document.write( "The revenue is maximum at n= 5 dollars.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "On finding the maximum/minimum of a quadratic function see the lessons\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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\n" ); document.write( "\n" ); document.write( "Consider these lessons as your textbook, handbook, tutorials and (free of charge) home teacher.\r
\n" ); document.write( "\n" ); document.write( "Learn the subject from there once and for all.\r
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