document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=272598>Question 272598</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The cost to run machine 1 for an hour is $2. During that hour, Machine 1 produces 240 bolts and 100 nuts. The cost to run machine 2 for an hour is $2.40. During that hour, Machine 2 produces 160 bolts and 160 nuts. With a combined running time of no more that 30 hours, how long should each machine run to produce an order of at least 2080 bolts and 1520 nuts at the minimum operating cost?\r<BR>\n" );
document.write( "\n" );
document.write( "I can't figure out the proper equations to graph. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #199356 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=199356\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The cost to run machine 1 for an hour is $2. <BR>\n" );
document.write( "During that hour, Machine 1 produces 240 bolts and 100 nuts. <BR>\n" );
document.write( "-----------------------------------------------------------------<BR>\n" );
document.write( "The cost to run machine 2 for an hour is $2.40. <BR>\n" );
document.write( "During that hour, Machine 2 produces 160 bolts and 160 nuts. <BR>\n" );
document.write( "-----------------------------------------------------------------<BR>\n" );
document.write( "With a combined running time of no more that 30 hours, how long should each machine run to produce an order of at least 2080 bolts and 1520 nuts at the minimum operating cost? <BR>\n" );
document.write( "----------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "Let \"x\" be machine 1 running time: x >= 0<BR>\n" );
document.write( "Let \"y\" be machine 2 running time: y >= 0<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Objective Function:  Cost = 2x + 2.40y<BR>\n" );
document.write( "This is the function to be minimized<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "time: x + y = 7<BR>\n" );
document.write( "bolts: 240x + 160y >=2080<BR>\n" );
document.write( "nuts:: 100x + 160y >- 1520<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "Solve equations/inequlities for y and graph.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "I guess you know the rest of the procedure<BR>\n" );
document.write( "===============================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );