document.write( "Question 126795: 20) John owns a hotdog stand. He has found that his profit is represented by the equation
\n" ); document.write( "P(x) = -x2 + 66x + 82, with P being profits and x the number of hotdogs sold. How many
\n" ); document.write( "hotdogs must he sell to earn the most profit? \n" ); document.write( "
Algebra.Com's Answer #93007 by ankor@dixie-net.com(22740)\"\" \"About 
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P(x) = -x^2 + 66x + 82, with P being profits and x the number of hotdogs sold.
\n" ); document.write( "How many hotdogs must he sell to earn the most profit?
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\n" ); document.write( "The max of this equation occurs at the axis of symmetry, we can find that be
\n" ); document.write( "using the formula x = \"%28-b%29%2F%282a%29\"
\n" ); document.write( "In this equation: a = -1; b = 66, so we have:
\n" ); document.write( "x = \"%28-66%29%2F%282%2A-1%29\" = \"%28-66%29%2F%28-2%29\" = +33
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\n" ); document.write( "We can say his max profit occurs when he sell 33 hot dogs
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\n" ); document.write( "You can find out what amt that profit is, by substituting 33 for x in the original equation and finding P(x)
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\n" ); document.write( "From a practical point of view, this does not make sense in the real world.
\n" ); document.write( " Using this equation, he would make over $1171 when he sold 33 hot-dogs!! \n" ); document.write( "
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