document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=960750>Question 960750</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A Wendy’s fast-food restaurant sells hamburgers and chicken sandwiches. On a typical weekday, the demand for hamburgers is normally distributed with a mean of 450 and standard deviation of 80 and the demand for chicken sandwiches is normally distributed with a mean of 120 and standard deviation of 30. \r<BR>\n" );
document.write( "\n" );
document.write( "How many hamburgers must the restaurant stock to be 99% sure of not running out on a given day? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #587126 by </B><A HREF=/tutors/aboutme.mpl?userid=mathmate><B>mathmate(429)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathmate><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=mathmate><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=587126\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">   <BR>\n" );
document.write( "Given:<BR>\n" );
document.write( "Hamburgers sold daily are normally distributed and have a mean of 450 and standard deviation of 80, i.e. N(450,80).<BR>\n" );
document.write( "  <BR>\n" );
document.write( "Require: <BR>\n" );
document.write( "Daily stock of hamburgers necessary in order not to run out 99 times out of 100.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "Let X=number required, then we need<BR>\n" );
document.write( "P(x>X)=0.99  which means<BR>\n" );
document.write( "P(Z>(X-450)/80)>0.99<BR>\n" );
document.write( "From normal distribution tables, Z=2.327,<BR>\n" );
document.write( "solve for X<BR>\n" );
document.write( "2.3263=(X-450)/80<BR>\n" );
document.write( "X-450=80*2.3263=186.1<BR>\n" );
document.write( "X=450+186.2=636.1<BR>\n" );
document.write( "  <BR>\n" );
document.write( "Answer:<BR>\n" );
document.write( "637 hamburgers should be stocked. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );