document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1188006>Question 1188006</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A toy making company has at least 300 squares of felt, 700 oz of stuffing, and 230 ft of trim to make dogs and dinosaurs. A dog uses 1 square of felt, 4 oz of stuffing, and 1 ft of trim. A dinosaur uses 2 squares of felt, 3 oz of stuffing, and 1 ft of trim.\r<BR>\n" );
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document.write( "It costs the company $1.24 to make each dog and $1.76 for each dinosaur. The company wants to minimize its costs. What are the coefficients of the constraint inequality for felt?<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 #819051 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=819051\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> makt a table like the one below:\r<BR>\n" );
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document.write( "                              dog            dinosaur\r\n" );
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document.write( "felt                           1                 2         >= 300\r\n" );
document.write( "stuffing                       4                 3         >= 700\r\n" );
document.write( "trim                           1                 1         >= 230\r\n" );
document.write( "cost                           1.24              1.76      minimize\r\n" );
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document.write( "constraint functions are:\r<BR>\n" );
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document.write( "x + 2y >= 300<BR>\n" );
document.write( "4x + 3y >= 700<BR>\n" );
document.write( "x + y >= 230<BR>\n" );
document.write( "x >= 0<BR>\n" );
document.write( "y >= 0\r<BR>\n" );
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document.write( "objective function is:\r<BR>\n" );
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document.write( "cost = 1.74 * x + 1.76 * y\r<BR>\n" );
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document.write( "this is what you want to minimize.\r<BR>\n" );
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document.write( "using the desmos.com calculator, you would graph the opposite of the inequalities.\r<BR>\n" );
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document.write( "the feasible region is the area of the graph that is not shaded.\r<BR>\n" );
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document.write( "you would evaluate the objective function at the corner points of the feasible region.\r<BR>\n" );
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document.write( "the corner point with the lowest cost is your minimum cost solution.\r<BR>\n" );
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document.write( "the graph will look like this:\r<BR>\n" );
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document.write( "the lowest cost solution is when x = 160 and y = 70 with a cost of 321.6.\r<BR>\n" );
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document.write( "all the constraints need to be satisfied.\r<BR>\n" );
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document.write( "i checked the constraints at the minimum solution and they are all satisfied.\r<BR>\n" );
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document.write( "you were asked to provide the coefficients of the constraint inequality for felt.\r<BR>\n" );
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document.write( "the constraint inequality for felt is x + 2y >= 300<BR>\n" );
document.write( "the coefficient for x is 1 and the coefficient for y is 2.\r<BR>\n" );
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