document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147092>Question 147092</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Linda williams has just begun a nusery business and seeks your advice. She has limited funds to spend and wants to stock two kinds of fruite-bearing plants. She lives in the northeastern part of Texas and thinks that blueberry bushes and peach trees would sell well there. Linda can buy blueberry bushes from a supplier for $2.50 each and young peach trees for $5.50 each. She wants to know what combination she should buy and keep her outlay to $500 or less. Write an inequality and draw a graph to depict what combinations of blueberry bushes and peach trees she can buy for the amount of money she has. explain the graph and her options. \r<BR>\n" );
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document.write( "I know this is a long question but I am so confused with it. Can someone please help? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #107446 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=107446\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = the number of blueberry bushes<BR>\n" );
document.write( "Let y = the number of peach trees\r<BR>\n" );
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document.write( "The amount of money she will spend on the bushes is 2.50x<BR>\n" );
document.write( "The amount of money she will spend on the trees is 5.50y\r<BR>\n" );
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document.write( "The total amount she has to spend is 500, so the amount she spends on bushes plus the amount she spends on trees has to be less than or equal to 500.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.5x%2B5.5y%3C=500 ALIGN=MIDDLE  ALT=\"2.5x%2B5.5y%3C=500\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.5x%2B5.5y=500 ALIGN=MIDDLE  ALT=\"2.5x%2B5.5y=500\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Since your original inequality includes 'or equal' make your graph a solid line.\r<BR>\n" );
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document.write( "Now, pick a point that is NOT on the line you just graphed. Since the line does not go through the origin, the point (0,0) is a good choice because it makes the arithmetic easy.\r<BR>\n" );
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document.write( "Substitute the coordinate values for the point you chose into the original inequality and do the arithmetic.  If the result is a true statement, shade in the half-plane containing the point you selected.  If the result is false, shade in the other side of the line.  In the case of your problem the result will be true, so the shaded area does, in fact, contain the origin (0,0).\r<BR>\n" );
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document.write( "For your problem, in practical terms, you also have other constraints, namely: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=0 ALIGN=MIDDLE  ALT=\"x%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E=0 ALIGN=MIDDLE  ALT=\"y%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  That's because she can't buy a negative number of either bushes or trees.  Therefore, you are only concerned with that part of your shaded area that is in the first quadrant of the coordinate system.\r<BR>\n" );
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document.write( "What this first quadrant shaded area represents is the area of feasibility.  In other words, any ordered pair (bushes,trees) with integer coordinates that lies within the area (including on the boundaries) is a possible combination that Linda could purchase from her supplier. Note that we had to put the 'integer coordinates' restriction in there because it is highly unlikely that a supplier will sell a fractional part of either a bush or a tree.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28600%2C600%2C-20%2C200%2C-20%2C200%2C%0D%0A%0D%0Agraph%28600%2C600%2C-20%2C200%2C-20%2C200%2C%28-2.5%2F5.5%29x%2B%28500%2F5.5%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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