document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=75648>Question 75648</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618219560/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\">  The weekly profit for a widget producer is a function of the number n of widgets sold. The formula is, P=-2+ 2.9n-0.3n(this exponent is squared, i.e n squared, not sure how to type it.\r<BR>\n" );
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document.write( " Here P is measured in thousands of dollars, n is measured in thousands of widgets, and the formula is valid up to a level of 7 thousand widgets sold.\r<BR>\n" );
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document.write( "  a)- Make a graph of P verses n.\r<BR>\n" );
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document.write( "  b)-Calculate P(0) and explain in practical terms what your answer means,\r<BR>\n" );
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document.write( "  c)At what sales level is the profit as large as possible? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54447 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=54447\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  The weekly profit for a widget producer is a function of the number n of widgets sold. The formula is, P=-2+ 2.9n-0.3n(this exponent is squared, i.e n squared, not sure how to type it.<BR>\n" );
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document.write( "P = -2 + 2.9n - .3n^2<BR>\n" );
document.write( "Here P is measured in thousands of dollars, n is measured in thousands of widgets, and the formula is valid up to a level of 7 thousand widgets sold.<BR>\n" );
document.write( "a)- Make a graph of P verses n.<BR>\n" );
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document.write( "n = x (horizontal axis), P = y  (vertical axis)<BR>\n" );
document.write( "plot from x = 0 to x = 7 (max that formula is valid)<BR>\n" );
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document.write( "An example of when x = 2:<BR>\n" );
document.write( "y = -2 + 2.9(2) - .3(2^2)<BR>\n" );
document.write( "y = -2 + 5.8 - 1.2<BR>\n" );
document.write( "y = + 2.6<BR>\n" );
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document.write( " x | y<BR>\n" );
document.write( "--------<BR>\n" );
document.write( " 0 |-2<BR>\n" );
document.write( "+1 |+.6<BR>\n" );
document.write( "+2 |2.6<BR>\n" );
document.write( "+3 |4.0<BR>\n" );
document.write( "+4 |4.8<BR>\n" );
document.write( "+5 |5.0<BR>\n" );
document.write( "+6 |4.6<BR>\n" );
document.write( "+7 |3.6<BR>\n" );
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document.write( "your graph should look like this<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-4%2C+10%2C+-4%2C+8%2C+-.3x%5E2+%2B+2.9x+-+2%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-4%2C+10%2C+-4%2C+8%2C+-.3x%5E2+%2B+2.9x+-+2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "b)-Calculate P(0) and explain in practical terms what your answer means,<BR>\n" );
document.write( "That means  x = 0 (no widgets made), y = -2, A loss of $2000<BR>\n" );
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document.write( "c)At what sales level is the profit as large as possible?<BR>\n" );
document.write( "Looking at the graph it's apparent that max profit occurs when 5000 items are<BR>\n" );
document.write( " made.  A profit of $5000.<BR>\n" );
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document.write( "Did this make sense to you? Any questions? </SPAN>\n" );
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