document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=761587>Question 761587</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that you sell two sizes of storage sheds: large and small. The large size requires 12 feet of lumber and takes 3 hours to build. The small size requires 8 feet of lumber and takes 1 hour to build. You can use 48 feet of lumber each day and plan to spend at most 9 hours per day to build the sheds.<BR>\n" );
document.write( "a. Model the situation above. Your algebraic model should be a system of four inequalities.<BR>\n" );
document.write( "b. You sell the large sheds for $70 each and the small ones for $30 each. What numbers of each kind should you make per day in order to maximize your income?<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 #463359 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=463359\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> EDIT: ADJUSTING FOR A MISUNDERSTANDING...<BR>\n" );
document.write( "EDITED AGAIN...\r<BR>\n" );
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document.write( "The question you might want to be able to answer in part a for the sheds is, how many of each shed can be built.\r<BR>\n" );
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document.write( "Large shed, 12 feet, 3 hours<BR>\n" );
document.write( "Small shed, 8 feet, 1 hour\r<BR>\n" );
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document.write( "Restrictions:  48 feet per day, no more than 9 days.\r<BR>\n" );
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document.write( "Let x = how many small sheds<BR>\n" );
document.write( "let y = how many large sheds\r<BR>\n" );
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document.write( "The restriction indicates {48 feet/day}/{ 9 hours/days} = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%261%2F3 ALIGN=MIDDLE  ALT=\"5%261%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet per hour.\r<BR>\n" );
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document.write( "Account for feet, converted to days needed (EDITED):<BR>\n" );
document.write( "(8*x+12*y)/(1/48)= number of days\r<BR>\n" );
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document.write( "Account for time:<BR>\n" );
document.write( "(1*x+3*y)(1/9)= number of days.  \r<BR>\n" );
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document.write( "The description still needs, ...?  Otherwise, the problem description is not complete.  You ALMOST have enough information for two equations for a system, but do not quite have all the information yet.  ?\r<BR>\n" );
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document.write( "After second edit, we seem to have a general accounting for feet to days, and another accounting for hours to days.  We apparantly have two equations in two unknowns; maybe needing to be inequalities. BUT we need two more. </SPAN>\n" );
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