document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1061768>Question 1061768</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, please help me solve this. Thank you!\r<BR>\n" );
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document.write( "Linear Programming Application\r<BR>\n" );
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document.write( "(1) An office manager needs to staff the office. She hires full-time employees at $18 per hour and part-time employees at $12 per hour. Write an objective function that represents the total cost (in $) to staff the office with x full-time employees and y part-time employees for 1 hr.<BR>\n" );
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document.write( "(2) Refer to 1. Suppose that the office manager needs at least 20 employees, but not more than 24 full-time employees. Furthermore, to make the office run smoothly, the manager knows that the number of full-time employees must always be greater than or equal to the number of part-time employees. Write a system of inequalities that represents the constraints on the number of full-time employees x and the number of part-time employees y.<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 #676586 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=676586\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= number of full-time employees<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >= number of part-time employees<BR>\n" );
document.write( "The objective function is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=18x%2B12y ALIGN=MIDDLE  ALT=\"C=18x%2B12y\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
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document.write( "\"At least 20 employees\" means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%3E=20 ALIGN=MIDDLE  ALT=\"x%2By%3E=20\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "\"No more than 24 full-time employees\" means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C=24 ALIGN=MIDDLE  ALT=\"x%3C=24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "\"The number of full-time employees must always be greater than or equal to the number of part-time employees\" means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=y ALIGN=MIDDLE  ALT=\"x%3E=y\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C=x ALIGN=MIDDLE  ALT=\"y%3C=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
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