document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164510>Question 164510</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to double check if I did this word problem right. The question reads: A pizza shop makes $1.50 on each small pizza and $2.15 on each large pizza. On a typical Friday, it sells between 70 and 90 small pizzas and 100 and 140 large pizzas. The shop can make no more than 210 pizzas in a day. How many of each size of pizza can be sold in order to maximize the profit? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121313 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=121313\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What'd you get???<BR>\n" );
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document.write( "Let S be the number of small pizzas, L the number of large pizzas.<BR>\n" );
document.write( "The profit equation is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=1.50%2AS%2B2.15%2AL ALIGN=MIDDLE  ALT=\"P=1.50%2AS%2B2.15%2AL\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The bounding lines for the feasible region are,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70%3C=S%3C=90 ALIGN=MIDDLE  ALT=\"70%3C=S%3C=90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%3C=L%3C=140 ALIGN=MIDDLE  ALT=\"100%3C=L%3C=140\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%2BL=210 ALIGN=MIDDLE  ALT=\"S%2BL=210\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The x-axis is the number of small pizzas.<BR>\n" );
document.write( "The y-axis is the number of large pizzas. <BR>\n" );
document.write( "The black lines are the min and max values for each pizza type.<BR>\n" );
document.write( "The red line is the max number of pizzas able to be made total.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-15%2C+95%2C+-15%2C+145%2Cgrid%28+1+%29%2Ccircle%28+70%2C+100%2C+2+%29%2C%0D%0Acircle%2890%2C100%2C2%29%2C%0D%0Acircle%2870%2C140%2C2%29%2C%0D%0Acircle%2890%2C120%2C2%29%2C%0D%0A+line%28-20%2C100%2C200%2C100%29%2Cline%28-20%2C140%2C200%2C140%29%2Cline%2870%2C-10%2C70%2C200%29%2Cline%2890%2C-10%2C90%2C200%29%2Cgraph%28+300%2C+300%2C+-15%2C+95%2C+-15%2C+145%2C++210-x%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The vertices of the feasible region are shown as circles.<BR>\n" );
document.write( "The min and max of the profit equation will occur at the vertices.<BR>\n" );
document.write( "The coordinates for the vertices are<BR>\n" );
document.write( "1.(70,100)<BR>\n" );
document.write( "2.(70,140)<BR>\n" );
document.write( "3.(90,100)<BR>\n" );
document.write( "4.(90,120)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B1%5D=1.50%2A70%2B2.15%2A100=105%2B215=320 ALIGN=MIDDLE  ALT=\"P%5B1%5D=1.50%2A70%2B2.15%2A100=105%2B215=320\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B2%5D=1.50%2A70%2B2.15%2A140=105%2B301=406 ALIGN=MIDDLE  ALT=\"P%5B2%5D=1.50%2A70%2B2.15%2A140=105%2B301=406\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B3%5D=1.50%2A90%2B2.15%2A100=135%2B215=350 ALIGN=MIDDLE  ALT=\"P%5B3%5D=1.50%2A90%2B2.15%2A100=135%2B215=350\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B4%5D=1.50%2A90%2B2.15%2A100=135%2B258=393 ALIGN=MIDDLE  ALT=\"P%5B4%5D=1.50%2A90%2B2.15%2A100=135%2B258=393\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Max profit is $406 with 70 smalls and 140 larges. <BR>\n" );
document.write( "Min profit is $320 with 70 smalls and 100 larges.  </SPAN>\n" );
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