document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=864890>Question 864890</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an inequality for the problem and determine the constraints on the variables. Then use your inequality to answer the question. Show all your work and explain your reasoning.\r<BR>\n" );
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document.write( "Company A charges a $5 fee plus $0.20 per ounce to ship a medium sized package to a nearby city.  Company B charges a $10 fee plus $1.00 per 100 miles for the same shipment.  Amit has determined that it will cost less to ship his package using company B. Is Amit's conclusion accurate? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #521364 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=521364\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Company A:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2B0.2%2Ax ALIGN=MIDDLE  ALT=\"5%2B0.2%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" >, using x for how many OUNCES\r<BR>\n" );
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document.write( "Company B:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2B1%2Ad ALIGN=MIDDLE  ALT=\"10%2B1%2Ad\"   DISABLED_style= \"max-width:90%; height:auto;\" >, using d for how many MILES\r<BR>\n" );
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document.write( "x must be greater than 0, and d must be greater than or equal to 0.<BR>\n" );
document.write( "The given determination made was B costs less than A:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Bd%3C5%2B0.2x ALIGN=MIDDLE  ALT=\"10%2Bd%3C5%2B0.2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Bd%3C0.2x ALIGN=MIDDLE  ALT=\"5%2Bd%3C0.2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The left member is for using company B, and the right member is for using company A.  Amit has no assurance that company B costs less than company A. Imagine the example, a package to be delivered to d=0, and package size of x=100 ounces.  The example shows <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%3C20 ALIGN=MIDDLE  ALT=\"5%3C20\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is true.  Imagine another example, d=0 and x=25 ounces.  For this, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%3C5 ALIGN=MIDDLE  ALT=\"5%3C5\"   DISABLED_style= \"max-width:90%; height:auto;\" > is false; and for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C25 ALIGN=MIDDLE  ALT=\"x%3C25\"   DISABLED_style= \"max-width:90%; height:auto;\" > will also be false.  Amit would guess wrongly for some combinations d and x, and correctly for some others.  His conclusion depends on his particular distance and size of package. </SPAN>\n" );
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