document.write( "Question 57210: 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( "

Algebra.Com's Answer #39137 by funmath(2933) $\"\"$ $\"About$

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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 parabolic function that opens down, its highest point is it's vertex. This parabolic function is in standard form: $\"p%28x%29=ax%5E2%2Bbx%2Bc\"$ . To find the x value of the vertex, use the formula: $\"x=-b%2F2a\"$
\n" ); document.write( "In your case, a=-2, b=280, and c=1000
\n" ); document.write( "The number of items that should be sold to maximize the profit is:
\n" ); document.write( " $\"x=-%28280%29%2F%282%28-2%29%29\"$
\n" ); document.write( " $\"x=-280%2F-4\"$
\n" ); document.write( " $\"highlight%28x=70%29\"$
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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