document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1162858>Question 1162858</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mark is a working student, and he can work for at most 20 hours a week.<BR>\n" );
document.write( "He needs to earn at least Php 3,500 to cover his weekly expenses. His<BR>\n" );
document.write( "service-crew job pays Php 150 per hour and his job as a car wash attendant<BR>\n" );
document.write( "pays Php 75 per hour. \r<BR>\n" );
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document.write( "What variables will you use?\r<BR>\n" );
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document.write( "What system of inequalities represent the information?\r<BR>\n" );
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document.write( "Show your solution.<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 #786732 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=786732\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> as far as i know, systems of ineqalities are solved graphically.<BR>\n" );
document.write( "your inequalities are:<BR>\n" );
document.write( "x + y <= 20<BR>\n" );
document.write( "150x + 75y >= 3500<BR>\n" );
document.write( "using the desmos.com calculator, graph the opposite of these inequalities.<BR>\n" );
document.write( "you will graph:<BR>\n" );
document.write( "x + y >= 20<BR>\n" );
document.write( "150x + 75y <= 3500<BR>\n" );
document.write( "the area of the graph that is not shaded will be your solution.<BR>\n" );
document.write( "the graph looks like this.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2020/072701.jpg\" ><BR>\n" );
document.write( "you can see from the graph that the region of feasibility occurs when y is less than 0.<BR>\n" );
document.write( "since both x and y have to be greater than or equal to 0, you have no solution.<BR>\n" );
document.write( "a simple test will confirm this to be true.<BR>\n" );
document.write( "20 * 150 = 3000.<BR>\n" );
document.write( "that's the most that can be made if the number of hours has o be less than or equal to 20.\r<BR>\n" );
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