document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1054488>Question 1054488</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company manufactures both liquid crystal display (LCD) and plasma televisions. The cost of materials for an LCD television is $125, and the cost of materials for a plasma TV is $150. The cost of labor to manufacture one LCD television is $80, and the cost of labor to manufacture one plasma television is $85. How many of each type of television can the manufacturer produce during a week in which $18,000 has been budgeted for materials and $10,750 has been budgeted for labor? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #669914 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=669914\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X ALIGN=MIDDLE  ALT=\"X\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the number of LCD sets, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y ALIGN=MIDDLE  ALT=\"Y\"   DISABLED_style= \"max-width:90%; height:auto;\" > the number of plasma sets.<BR>\n" );
document.write( "Material: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=125X%2B150Y%3C=18000 ALIGN=MIDDLE  ALT=\"125X%2B150Y%3C=18000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Labor : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80X%2B85Y%3C=10750 ALIGN=MIDDLE  ALT=\"80X%2B85Y%3C=10750\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You don't have a target to aim for. <BR>\n" );
document.write( "Typically you want to achieve the highest profit or make the most number of TVs.<BR>\n" );
document.write( "I'll assume you want to maximize the number of TVs.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=X%2BY ALIGN=MIDDLE  ALT=\"P=X%2BY\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So at each of the vertices, calculate P.<BR>\n" );
document.write( "(0,120): <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=0%2B120=120 ALIGN=MIDDLE  ALT=\"P=0%2B120=120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(60,70):<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=60%2B70=130 ALIGN=MIDDLE  ALT=\"P=60%2B70=130\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(134.375,0):<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=134.375%2B0=134.375 ALIGN=MIDDLE  ALT=\"P=134.375%2B0=134.375\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since you can only make whole TVs, round down to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=134 ALIGN=MIDDLE  ALT=\"P=134\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "So make only plasma TVs to maximize the number of TVs you make.<BR>\n" );
document.write( " </SPAN>\n" );
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