document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1015136>Question 1015136</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The volume of construction work was increased by 60% but the productivity of labor increased by only 25%. By what percent must the number of workers be increased? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #631482 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=631482\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the basic formula is r * w * t = q\r<BR>\n" );
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document.write( "r = quantity of output produced per worker per unit of time.<BR>\n" );
document.write( "w = number of workers.<BR>\n" );
document.write( "t = time<BR>\n" );
document.write( "q = quantity of output produced.\r<BR>\n" );
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document.write( "you can solve this formula for w to get:\r<BR>\n" );
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document.write( "w = q / (r * t)\r<BR>\n" );
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document.write( "if the quantity of work increases by 60%, then you get 1.6 * q and the formula for w becomes:\r<BR>\n" );
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document.write( "w = (1.6 * q) / (r * t)\r<BR>\n" );
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document.write( "a 60% increase in quantity of would result in a 60% increase in number of workers required, assuming the amount of time available was the same.\r<BR>\n" );
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document.write( "not assume that each worker can produce 25% more output per unit time.\r<BR>\n" );
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document.write( "then you get 1.25 * r and the formula for w becomes:\r<BR>\n" );
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document.write( "w = (1.6 * q) / (1.25 * r * t)\r<BR>\n" );
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document.write( "this formula can also be written as (1.6/1.25) * (q/(r*t)).\r<BR>\n" );
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document.write( "this results in 1.28 * (q/(r*t)) which can also be written as (1.28 * q) / (r*t)\r<BR>\n" );
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document.write( "this says that the 60% increase in quantity of work produced can be handled with a 28% increase in the number of workers required, assuming the amount of time available is the same, and assuming that the productivity of each worker has increased by 25%.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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