Algebra.Com's Answer #83445 by edjones(8007)![\"\"](\"/images/stars/stars-13.gif\")  
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The question is not phrased properly.
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document.write( "One formula has -x^2 in it and the repeat of it has x^2.
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document.write( "The question should be \"how many hot dogs must he sell to maximize his profit\".
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document.write( "x=-1.27456, x=57.27456 quadratic formula (see below)
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document.write( "(-1.27456+57.27456)/2=28 maximum of the graph
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document.write( "By checking the next graph you can see that he can make a profit by selling between 1 and 57 hot dogs and he makes a maximum profit at 28 hot dogs.
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document.write( "Ed
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document.write( " | Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) | \n" );
document.write( "Quadratic equation  (in our case  ) has the following solutons:
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document.write( " For these solutions to exist, the discriminant  should not be a negative number.
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document.write( " First, we need to compute the discriminant :  .
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document.write( " Discriminant d=3428 is greater than zero. That means that there are two solutions:  .
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document.write( " Quadratic expression  can be factored:
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document.write( " Again, the answer is: -1.27456233660889, 57.2745623366089.\n" );
document.write( "Here's your graph:
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