document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=45411>Question 45411</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you show me the steps to solve this problem?\r<BR>\n" );
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document.write( "Find the maximum value of  p=5x+2y under the following conditions.<BR>\n" );
document.write( "x>0 y>0 2x+y<10 x+y<7\r<BR>\n" );
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document.write( "All symbols are greater than or equal to, or less than and equal to.<BR>\n" );
document.write( "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 #30221 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=30221\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the maximum value of  p=5x+2y under the following conditions.<BR>\n" );
document.write( "x>0 y>0 2x+y<10 x+y<7\r<BR>\n" );
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document.write( "Draw an x,y coordinate system.<BR>\n" );
document.write( "x>0 and y>0 mean we are looking at the 1st quadrant.\r<BR>\n" );
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document.write( "Graph y<-2x+10<BR>\n" );
document.write( "Graph  y< -x+7<BR>\n" );
document.write( "Find the coordinates of the four intersection points, as follows:<BR>\n" );
document.write( "Find the intersection of the two lines, y=-2x+10 and y=-x+7; it is (3,4)<BR>\n" );
document.write( "Find the intersection of y=-2x+10 and y=0; it is (5,0)<BR>\n" );
document.write( "Find the intersection of y=-x+7 and x=0; it is (0,7)<BR>\n" );
document.write( "Find the intersection of x=0 and y=0; it is (0,0)\r<BR>\n" );
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document.write( "Hopefully you can see these intersection points.\r<BR>\n" );
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document.write( "Now, evaluate p=5x+2y with the values of these intersection points, as follows:<BR>\n" );
document.write( "(0,0); p=5(0)+2(0)=0<BR>\n" );
document.write( "(0,7): p=5(0)+2(7)=14<BR>\n" );
document.write( "(5,0): p=5(5)+2(0)=25<BR>\n" );
document.write( "(3,4): p=5(3)2(4)=23\r<BR>\n" );
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document.write( "From this you can see that the maximum value of p is p=25 and <BR>\n" );
document.write( "that occurs when x=5 and y=0\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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