document.write( "Question 642364: I have no clue on what to do in order to solve this problem. I have tried numerous times and it doesnt seem like it is right. can someone help please?\r
\n" ); document.write( "\n" ); document.write( "Maximum profit. A chain store manager has been told by the main office that daily profit, P, is related to the number of clerks working that day, x, according to the function P = -25x^2 +300x. What number of clerks will maximize the profit, and what is the maximum possible profit?
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Algebra.Com's Answer #404085 by lwsshak3(11628)\"\" \"About 
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A chain store manager has been told by the main office that daily profit, P, is related to the number of clerks working that day, x, according to the function P = -25x^2 +300x. What number of clerks will maximize the profit, and what is the maximum possible profit?
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\n" ); document.write( "P = -25x^2 +300x.
\n" ); document.write( "This is an equation of a parabola that opens downwards (has a maximum).
\n" ); document.write( "Its standard form: y=-A(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex
\n" ); document.write( "y-coordinate of vertex=maximum value
\n" ); document.write( "problem, then, is to find coordinates of the vertex
\n" ); document.write( "..
\n" ); document.write( "For given problem:
\n" ); document.write( "P = -25x^2 +300x.
\n" ); document.write( "complete the square
\n" ); document.write( "P = -25(x^2-12x+36)+900
\n" ); document.write( "P=-25(x-6)^2+900
\n" ); document.write( "vertex: (6,900)
\n" ); document.write( "maximum possible profit=900
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