document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120021>Question 1120021</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A store sells two models of laptop computers. Because of the demand, the store stocks at least three times as many units of model A as units of model B. The costs to the store for the two models are $700 and $1100, respectively. The management does not want more than $38,500 in computer inventory at any one time, and it wants at least fifteen model A laptop computers and five model B laptop computers in inventory at all times. \r<BR>\n" );
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document.write( "Find the system of inequalities describing all possible inventory levels. (Use x for units of product A and y for units of product B.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #735696 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=735696\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x equal the number of model A.<BR>\n" );
document.write( "y equal the number of model B.\r<BR>\n" );
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document.write( "store stocks at least 3 times as many model A as B.\r<BR>\n" );
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document.write( "x >= 3y\r<BR>\n" );
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document.write( "costs are 700 for model A and 1100 for model B.\r<BR>\n" );
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document.write( "cost is less than or equal to 38500.\r<BR>\n" );
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document.write( "700x + 1100y <= 38500\r<BR>\n" );
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document.write( "store wants at least 15 model A and 5 model in B in store at all times.\r<BR>\n" );
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document.write( "x >= 15<BR>\n" );
document.write( "y >= 5\r<BR>\n" );
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document.write( "your system of inequalities is:\r<BR>\n" );
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document.write( "x >= 3y<BR>\n" );
document.write( "700x + 1100y <= 38500<BR>\n" );
document.write( "x >=15<BR>\n" );
document.write( "y >= 5\r<BR>\n" );
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document.write( "this system of inequalities leads to the following possible values for x and y, under the constraint that x and y have to be integers.\r<BR>\n" );
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document.write( "any points within the area of the graph that is not shaded are feasible.\r<BR>\n" );
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document.write( "this graph was created by graphing the opposite of the inequalities.\r<BR>\n" );
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document.write( "that shaded the region that was not feasible, leaving the region that was feasible not shaded.\r<BR>\n" );
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document.write( "the maximum / minimum value of your objective function are where the maximum and minimum values lie.\r<BR>\n" );
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document.write( "you would evaluate the objective function at these points.\r<BR>\n" );
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document.write( "for example, if the objective function was to minimize cost, then the point (15,5) would be the solution.\r<BR>\n" );
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document.write( "the objective function would be 700x + 1100y, in that case.\r<BR>\n" );
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document.write( "an example of any point in the feasible region would be the point (30,8).\r<BR>\n" );
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document.write( "that point meets all the constraints.\r<BR>\n" );
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document.write( "30 >= 3 * 8<BR>\n" );
document.write( "30 >=15<BR>\n" );
document.write( "8 >= 5<BR>\n" );
document.write( "700*30 + 1100*8 = =29800 <= 38500\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/2018/071801.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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