document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=89848>Question 89848</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company makes two kinds of cookies. Each batch of chocolate cookies requires 6 trucks to ship, takes 9 hrs to bake, and earns the company $600. Each batch of cream filled requires 4 trucks to ship, 12 hours to bake, and earns the company$500. graph the region and determine how many of each should be made to maximize profit. it has a total of 48 trucks and 72 hours of baking time.\r<BR>\n" );
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document.write( "as far as ive gotten: 6x+4y<48<BR>\n" );
document.write( "                      9x+12<72<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #65289 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=65289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A company makes two kinds of cookies. Each batch of chocolate cookies requires 6 trucks to ship, takes 9 hrs to bake, and earns the company $600. Each batch of cream filled requires 4 trucks to ship, 12 hours to bake, and earns the company$500. There are a total of 48 trucks and 72 hours of baking time.\r<BR>\n" );
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document.write( "graph the region and determine how many of each should be made to maximize profit.<BR>\n" );
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document.write( "Let number of chocolate batches be \"x\"; Let number of cream batches be \"y\".<BR>\n" );
document.write( "# of choc batches: 0<=x<=48<BR>\n" );
document.write( "# of cream batches:0<=y<=48<BR>\n" );
document.write( "Truck : 6x+4y <=48<BR>\n" );
document.write( "Bake :  9x+12y<=72<BR>\n" );
document.write( "Objective function: Profit = 600x+500y<BR>\n" );
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document.write( "Solve Truck and Bake for y:<BR>\n" );
document.write( "Truck: y <= (-3/2)x+12; graph it<BR>\n" );
document.write( "Bake: y<=(-3/4)x+6 ; graph it<BR>\n" );
document.write( "Draw vertical lines at x=0 and x=48<BR>\n" );
document.write( "Draw horizontal lines at y=0 and y=48<BR>\n" );
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document.write( "Find the vertices of the resulting closed figure.<BR>\n" );
document.write( "Use the coordinates of those vertices to find the maximum possible profit.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C25%2C-10%2C25%2C%28-3%2F2%29x%2B12%2C%28-3%2F4%29x%2B6%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C25%2C-10%2C25%2C%28-3%2F2%29x%2B12%2C%28-3%2F4%29x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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