document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=57116>Question 57116</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Identify and graph each of the following.<BR>\n" );
document.write( "Identify the inequality which expresses the limitaion for the number of bikes made based on the amount of time available for assembly.\r<BR>\n" );
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document.write( "Identify the inequality which expresses the limitation of the number of bikes made based on the amount of time avaliable for painting.<BR>\n" );
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document.write( "Identify the inequality which expresses the limitation of the number of bikes made based on the amount of time available for packaging.\r<BR>\n" );
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document.write( "Identify the objective function that will be used to determine the number of bikes they should produce to maximize the profit each week.\r<BR>\n" );
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document.write( "The bike company produces two types of bikes, Model 15A requires 1 hour to assemble, 2 hours to paint and 1 hour to package.  Model 17A requires 2 hours to assemble, 3 hours to paint, and 1 hour to package.  On a weekly basis the manufacturer has 40 hours available for assemble, 72 hours for painting, and 30 hours available for packaging the bikes.  If the profits per bike are $45 for Model 15A and $55 for Model 17A, how many of each model should be made each week to guarantee a maximum profit. What is the profit. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #39186 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=39186\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The bike company produces two types of bikes, Model 15A requires 1 hour to assemble, 2 hours to paint and 1 hour to package. Model 17A requires 2 hours to assemble, 3 hours to paint, and 1 hour to package. On a weekly basis the manufacturer has 40 hours available for assemble, 72 hours for painting, and 30 hours available for packaging the bikes. If the profits per bike are $45 for Model 15A and $55 for Model 17A, how many of each model should be made each week to guarantee a maximum profit. What is the profit.<BR>\n" );
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document.write( "This is a messy problem.<BR>\n" );
document.write( "Let \"x\" be the number of model15A's produced:<BR>\n" );
document.write( "Let \"y\" be the number of model17A's produced:<BR>\n" );
document.write( "x>=0<BR>\n" );
document.write( "y>=0<BR>\n" );
document.write( "Equation #1: Assembly: x+2y<=40<BR>\n" );
document.write( "Equation #2: Paint:    2x+3y<=72<BR>\n" );
document.write( "Equation #3: Package:  x+y<=30<BR>\n" );
document.write( "Profit=45x+55y<BR>\n" );
document.write( "You need to find the intersection of #1 with #2; #1 with #3; #2 with #3<BR>\n" );
document.write( "You also need find the x and y intercepts of #1, #2, and #3.<BR>\n" );
document.write( "All of these poins are potentially the number of x and y items that could<BR>\n" );
document.write( "be produced to mind the maximum profit.<BR>\n" );
document.write( "I'll let you find these intersecion points and check them in the Profit<BR>\n" );
document.write( "equation to find the maximum profit.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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