document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1166724>Question 1166724</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Steve opened a boutique in a shopping mall to sell<BR>\n" );
document.write( "perfumes and cologne. The amount made by the store is given by the formula,<BR>\n" );
document.write( "A = 50 (m  -  8 )2  -  3200<BR>\n" );
document.write( "where A is the amount made by the store in dollars and m is the number of months the store has<BR>\n" );
document.write( "been opened.<BR>\n" );
document.write( "a. During what month did he have the lowest net and what was it? <BR>\n" );
document.write( "b. What is the amount made after 18 month?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #791232 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=791232\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i believe your formula needs to be:<BR>\n" );
document.write( "A = 50(m-8)^2-3200<BR>\n" );
document.write( "the ^ symbol indicates exponentiation.<BR>\n" );
document.write( "the * symbol indicates multiplication.<BR>\n" );
document.write( "simplify it to get:<BR>\n" );
document.write( "A = 50(m^2-16m+64)-3200<BR>\n" );
document.write( "simplify further to get:<BR>\n" );
document.write( "A = 50m^2 - 800m + 3200 - 3200<BR>\n" );
document.write( "simplify further to get:<BR>\n" );
document.write( "A = 50m^2 - 800m<BR>\n" );
document.write( "set A equal to 0 to get:<BR>\n" );
document.write( "0 = 50m^2 - 800m<BR>\n" );
document.write( "the equation is now in standard form.<BR>\n" );
document.write( "in that form:<BR>\n" );
document.write( "a = coefficient of the m^2 term = 50<BR>\n" );
document.write( "b is the coefficient of the m term = 800<BR>\n" );
document.write( "the max/min point is when m = -b/(2a)]<BR>\n" );
document.write( "that becomes m = 800/100 = 8<BR>\n" );
document.write( "the quadratic equation is at a minimum/maximum when m = 8<BR>\n" );
document.write( "since the coefficient of the m^2 term is positive, than m = 8 is a minimum point in the equation.<BR>\n" );
document.write( "if the coefficient of the m^2 term was negative, then m = 8 would be a maximum point in the equation.<BR>\n" );
document.write( "note that the normal standard form of a quadratic equation is ax^2 + bx + c = 0.<BR>\n" );
document.write( "all that was done here was replace x with m.<BR>\n" );
document.write( "the standard form then became am^2 + bm + c = 0.<BR>\n" );
document.write( "the min/max equation that is normally x = -b/(2a) became m = -b/(2a).\r<BR>\n" );
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document.write( "your min point is when m = 8.<BR>\n" );
document.write( "since the formula is A = 50 * (m - 8) ^ 2 - 3200, then the equation becomes -3200 when m = 8 because A = 50 * (8 - 8) ^ 2 - 3200 becomes A = 0 - 3200 which becomes A = -3200.\r<BR>\n" );
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document.write( "when m = 18, the formula becomes A = 50 * (18 - 8) ^ 2 - 3200 which becomes A = 50 * 10^2 - 3200 which becomes A = 5000 - 3200 which becomes A = 1800.\r<BR>\n" );
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document.write( "this can be shown on the following graph of the equation, where A is represented by y and m is represented by x.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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