document.write( "Question 287215: Suppose that the function of p= -1/4x+20 relates the selling price p of an item to the number of units x that are sold. Assume tha to is in dollars. For which value of x will the corresponding revenue be a maximum? What is this maximum revenue and what is the unit price? \n" ); document.write( "
Algebra.Com's Answer #208216 by stanbon(75887)\"\" \"About 
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Suppose that the function of p= -1/4x+20 relates the selling price p of an item to the number of units x that are sold.
\n" ); document.write( "Assume that is in dollars.
\n" ); document.write( "For which value of x will the corresponding revenue be a maximum?
\n" ); document.write( "What is this maximum revenue and what is the unit price?
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\n" ); document.write( "If p is price and x is number units, then
\n" ); document.write( "revenue = x(price)
\n" ); document.write( "R(x) = (-1/4)x^2+20x
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\n" ); document.write( "This quadratic reaches a maximum when x = -b/2a = -20/(2(-1/4)) = -20/(-1/2)
\n" ); document.write( "= 40
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\n" ); document.write( "The revenue when x = 40 is (-1/4)40^2+20x = $400
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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