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
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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? \n" );
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Algebra.Com's Answer #404085 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! 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? \n" ); document.write( "** \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 \n" ); document.write( " \n" ); document.write( " |