document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=175052>Question 175052</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131953648/algebrahomeworkh>college algebra/ blitzer</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> This is the first week of this class and it is not starting out good for me so far.  Could you please help me with this problem?<BR>\n" );
document.write( "As a manager of a financial planning business you have two financial planners, Phil and Francis. In an hour, Phil can produce either one financial statement or answer 10 phone calls, while Francis can either produce 3 financial statements or answer 12 phone calls. Does either person have an absolute advantage in producing both products? Should these two planners be self-sufficient (each producing statements and answering phones) or specialize? Please show your work if possible.  Thanks in advance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #130163 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=130163\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What I would do is pick an arbitrary number<BR>\n" );
document.write( "of financial statements that need to be filed by each<BR>\n" );
document.write( "and phone calls that need to be made by each<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f+=+20 ALIGN=MIDDLE  ALT=\"f+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+200 ALIGN=MIDDLE  ALT=\"p+=+200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The time in hours for each person to do these numbers of jobs is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5BPhil%2Cf%5D+=+20%2F1 ALIGN=MIDDLE  ALT=\"t%5BPhil%2Cf%5D+=+20%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5BPhil%2Cp%5D+=+200%2F10 ALIGN=MIDDLE  ALT=\"t%5BPhil%2Cp%5D+=+200%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5BFran%2Cf%5D+=+20%2F3 ALIGN=MIDDLE  ALT=\"t%5BFran%2Cf%5D+=+20%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5BFran%2Cp%5D+=+200%2F12 ALIGN=MIDDLE  ALT=\"t%5BFran%2Cp%5D+=+200%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Now I need to look at the various ways they can work and arrive<BR>\n" );
document.write( "at the least time to get the same amount of work done.<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Each doing both kinds of jobs until they are done:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5BPhil%2Cf%5D+%2B+t%5BPhil%2Cp%5D+=+20%2F1+%2B+200%2F10 ALIGN=MIDDLE  ALT=\"t%5BPhil%2Cf%5D+%2B+t%5BPhil%2Cp%5D+=+20%2F1+%2B+200%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F1+%2B+200%2F10+=+40 ALIGN=MIDDLE  ALT=\"20%2F1+%2B+200%2F10+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5BFran%2Cf%5D+%2B+t%5BFran%2Cp%5D+=+200%2F12+%2B+20%2F3 ALIGN=MIDDLE  ALT=\"t%5BFran%2Cf%5D+%2B+t%5BFran%2Cp%5D+=+200%2F12+%2B+20%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F3+%2B+200%2F12+=+70%2F3 ALIGN=MIDDLE  ALT=\"20%2F3+%2B+200%2F12+=+70%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70%2F3+=+23.33 ALIGN=MIDDLE  ALT=\"70%2F3+=+23.33\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "So they did a total of 400 phone calls and 40 files done in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=63.33 ALIGN=MIDDLE  ALT=\"63.33\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Phil doing calls and Fran doing files:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5BPhil%2Cp%5D+=+400%2F10 ALIGN=MIDDLE  ALT=\"t%5BPhil%2Cp%5D+=+400%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5BPhil%2Cp%5D+=+40 ALIGN=MIDDLE  ALT=\"t%5BPhil%2Cp%5D+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5BFran%2Cf%5D+=+40%2F3 ALIGN=MIDDLE  ALT=\"t%5BFran%2Cf%5D+=+40%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5BFran%2Cf%5D+=+13.33 ALIGN=MIDDLE  ALT=\"t%5BFran%2Cf%5D+=+13.33\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "So they did a total of 400 phone calls and 40 files done in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=53.33 ALIGN=MIDDLE  ALT=\"53.33\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Phil doing files and Fran doing calls:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5BPhil%2Cf%5D+=+40%2F1 ALIGN=MIDDLE  ALT=\"t%5BPhil%2Cf%5D+=+40%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5BFran%2Cp%5D+=+400%2F12 ALIGN=MIDDLE  ALT=\"t%5BFran%2Cp%5D+=+400%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5BFran%2Cp%5D+=+33.33 ALIGN=MIDDLE  ALT=\"t%5BFran%2Cp%5D+=+33.33\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "So they did a total of 400 phone calls and 40 files done in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=73.33 ALIGN=MIDDLE  ALT=\"73.33\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "This gives me a ranking and it looks like<BR>\n" );
document.write( "Phil doing calls and Fran doing files is the<BR>\n" );
document.write( "most efficient way for them to work<BR>\n" );
document.write( "Fran is more efficient at doing both<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );