document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1051541>Question 1051541</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Vending Machine Problem<BR>\n" );
document.write( "Have you ever encountered an automatic vending machine with hot drinks at UCLA, another<BR>\n" );
document.write( "college campus, or maybe a highway rest area? The intended sequence of events runs something<BR>\n" );
document.write( "like this: You insert your money into the machine and select your preferred beverage. A cup falls<BR>\n" );
document.write( "out of the machine, landing upright. Liquid streams out of the machine's pour spout until the cup<BR>\n" );
document.write( "is nearly full. You reach in, grab the piping hot cup, and drink happily.<BR>\n" );
document.write( "Sometimes, things go wrong. The machine might eat your money. Or the cup might not release<BR>\n" );
document.write( "until after the liquid has been poured. More frequently, everything goes smoothly until the liquid<BR>\n" );
document.write( "begins to flow. It might stop flowing when the cup is only half full. Alternatively, the liquid<BR>\n" );
document.write( "might keep on coming until your cup overflows. Neither of these results leaves you satisfied.<BR>\n" );
document.write( "The vending machine company wants to keep customers like you happy. So they have decided<BR>\n" );
document.write( "to hire your group as statistical consultants. They provide you with the following information:<BR>\n" );
document.write( "Cups will hold 8 ounces.<BR>\n" );
document.write( "The amount of liquid dispensed varies approximately Normally about the mean weight<BR>\n" );
document.write( "programmed into the machine.<BR>\n" );
document.write( "standard diviation of 0.2 ounces.<BR>\n" );
document.write( "You cannot adjust the variability of the machine without substantial, unacceptable added<BR>\n" );
document.write( "costs.<BR>\n" );
document.write( "A cup of hot beverage costs the customer $0.50, and the company spends $0.10 for the cup<BR>\n" );
document.write( "and $0.02 per ounce.<BR>\n" );
document.write( "Perform statistical and cost analyses to determine what mean amount of liquid dispensed should<BR>\n" );
document.write( "be programmed into the machine. Support your calculations with clear explanations. The end<BR>\n" );
document.write( "product should be a report to the vending machine company CEO </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #667021 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=667021\">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( "Getting help with a math problem for free from a volunteer tutor is one thing, but a formal report based on a statistical analysis is quite another.  I'll do it for you for $150, but you can probably find someone who will do it for less.\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" );
document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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