document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1147010>Question 1147010</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company manufactures two types of​ washers, top load and front load. The company can manufacture a maximum of 18 washers per day. It makes a profit of​ $20 on top load machines and​ $25 on front load machines. No more than 5 front load machines can be manufactured due to production restrictions. To meet consumer​ demand, the company must manufacture at least 2 front load machines and 2 top load machines per day. What is the maximum​ profit? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #768302 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=768302\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = number of top loaders.<BR>\n" );
document.write( "y = number of front loaders.<BR>\n" );
document.write( "constraint equations are:<BR>\n" );
document.write( "x + y <= 18<BR>\n" );
document.write( "y <= 5<BR>\n" );
document.write( "x >= 2<BR>\n" );
document.write( "y >= 2<BR>\n" );
document.write( "objective function is:<BR>\n" );
document.write( "profit = 20x + 25y\r<BR>\n" );
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document.write( "using the desmos.com calculator, graph the opposite of these inequalities.<BR>\n" );
document.write( "the area on the graph that is not shaded is your region of feasibility.<BR>\n" );
document.write( "the corner points of this region are where the maximum profit will lie.\r<BR>\n" );
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document.write( "here's the graph.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2019/101501.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "the highest pofit is when x = 13 and y = 5.<BR>\n" );
document.write( "that's the point (13,5) on the graph.<BR>\n" );
document.write( "the profit is 13 * 20 + 5 * 25 = 385<BR>\n" );
document.write( "all the constraint are met, as shown below.<BR>\n" );
document.write( "x + y <= 18<BR>\n" );
document.write( "y <= 5<BR>\n" );
document.write( "x >= 2<BR>\n" );
document.write( "y >= 2\r<BR>\n" );
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document.write( "solution is that maximum profit is 385 dollars.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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