document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202045>Question 1202045</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1 company menufactures two products, A and B., each unit of A require 3 hours and esch unit of B roquires 5 labor hours. Dally manufacturing capacity is 150 labor hours.\r<BR>\n" );
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document.write( "(i)If x units of Product A and y units of product B art manufactured each and all labor hours ure to be used, determine the linear equation as that requires the use of 150 labor hours per day,\r<BR>\n" );
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document.write( "(ii)How many units of can be made each day if 25 of B <BR>\n" );
document.write( "MANUFACTURED each day?<BR>\n" );
document.write( "How many units of A can be made each week If 12 unity ofB are manufactured each day? (Assume a 5-day work week.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #836664 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=836664\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Part (i)\r<BR>\n" );
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document.write( "x = number of units of product A<BR>\n" );
document.write( "y = number of units of product B<BR>\n" );
document.write( "x,y are nonnegative whole numbers 0,1,2,3,4,...\r<BR>\n" );
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document.write( "Each unit of product A needs 3 hours of labor. <BR>\n" );
document.write( "Making x units of them takes 3x hours of labor. <BR>\n" );
document.write( "Making y units of B takes 5y hours.\r<BR>\n" );
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document.write( "The total number of labor hours would be 3x+5y.<BR>\n" );
document.write( "The amount of labor hours available is 150 hours.\r<BR>\n" );
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document.write( "Therefore we arrive at the equation 3x+5y = 150 when all available labor hours are used up.\r<BR>\n" );
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document.write( "Optionally we could solve for y, but I'll let the student do this part.\r<BR>\n" );
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document.write( "Part (ii)\r<BR>\n" );
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document.write( "Plug in y = 25 and solve for x.<BR>\n" );
document.write( "3x+5y = 150<BR>\n" );
document.write( "3x+5*25 = 150<BR>\n" );
document.write( "3x+125 = 150<BR>\n" );
document.write( "3x = 150-125<BR>\n" );
document.write( "3x = 25<BR>\n" );
document.write( "x = 25/3<BR>\n" );
document.write( "x = 8.333 (approximate)<BR>\n" );
document.write( "Round down to the nearest integer to determine that 8 units of product A can be manufactured per day when 25 units of B are made per day.\r<BR>\n" );
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document.write( "Repeat for y = 12<BR>\n" );
document.write( "3x+5y = 150<BR>\n" );
document.write( "3x+5*12 = 150<BR>\n" );
document.write( "3x+60 = 150<BR>\n" );
document.write( "3x = 150-60<BR>\n" );
document.write( "3x = 90<BR>\n" );
document.write( "x = 90/3<BR>\n" );
document.write( "x = 30<BR>\n" );
document.write( "If 12 units of B are made per day, then 30 units of product A can be made per day.<BR>\n" );
document.write( "Over the 5 day work week, 5*30 = 150 units of A can be made.<BR>\n" );
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