document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=517597>Question 517597</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help soving this problem, thanks.\r<BR>\n" );
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document.write( "Your company would like to know how sales levels affect profits. If too few items are sold, then there is a loss. Even if too many items are sold, however, the company can lose money (likely because of low pricing). It is good to know how many items can be sold for there to be profit.<BR>\n" );
document.write( "Functions are very useful in many areas, such as in business to find the profit an organization is making. For example, the following function expresses profit in terms of the number of phones sold by a particular company: \r<BR>\n" );
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document.write( "P(x) = –x2 + 110x – 1,000\r<BR>\n" );
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document.write( "This function can be used to compute the profit (in thousands of dollars) from producing and selling a certain number, x, of thousands of smartphones.\r<BR>\n" );
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document.write( "a.	Compute the following: P(5), P(50), and P(120). Then, interpret the results.\r<BR>\n" );
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document.write( "b.	Graph the function using the desired graphing program. Paste the graph that you create into your assignment.\r<BR>\n" );
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document.write( "c.	Discuss and interpret the meaning where the profit function crosses the x-axis. Refer to last week’s assignment concerning break-even points, and interpret the graph. Also, discuss where the graph is above and below the x-axis, explaining what that means in terms of profitability. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #344845 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=344845\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "A word about function notation.  P is your profit function.  P(x) is the <i>value of the function P at x</i>.  So, P(5) is the value at 5.  Replace every instance of the variable x with 5 and do the arithmetic.\r<BR>\n" );
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document.write( "I'll let you do your own graph.  Your function has a negative lead coefficient, so you will get a parabola that is concave down.\r<BR>\n" );
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document.write( "The value of the function, that is the height of the graph at a given point is the amount of profit made for selling the number of phones represented by the x value of that point.  The x-intercepts are the break-even points, i.e. where you neither make money nor lose money.  Function values below the x-axis are negative -- you are losing money.  The vertex of the parabola is the point where you make the maximum possible.  Take the negative of the 1st degree term coefficient and divide it by 2 times the lead coefficient to get the x value that gives you the maximum profit.  \r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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