document.write( "Question 57213This question is from textbook
\n" ); document.write( ": Suppose that the equation p(x) = -2x^2 + 280x - 1000, where x represents the number of items sold, describes the profit function for a certain business. How many itmes should be sold to maximize the profit? \n" ); document.write( "

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Suppose that the equation p(x) = -2x^2 + 280x - 1000, where x represents the number of items sold, describes the profit function for a certain business. How many itmes should be sold to maximize the profit?
\n" ); document.write( "This is a quadratic equation that results in a parabola when graphed. Because x^2 is negative the parabola is upside down and \"n\" shaped. It's vertex is its maximum point.
\n" ); document.write( "We find the x value of a quadratic equation in standard form: $\"p%28x%29=ax%5E2%2Bbx%2Bc\"$ with the formula: $\"highlight%28x=-b%2F2a%29\"$
\n" ); document.write( "Our a=-2 and b=280
\n" ); document.write( " $\"x=-%28280%29%2F%282%28-2%29%29\"$
\n" ); document.write( " $\"x=-280%2F-4\"$
\n" ); document.write( " $\"x=70\"$
\n" ); document.write( "The company must sell 70 items to maximize the profit.
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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