document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1171320>Question 1171320</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The senior class plans on selling clothing. The hats cost $5 apiece the t-shirts cost $9, and they have $2250 to spend purchasing the items. If their profit is $4 from each hat and $5 from each t-shirt, how many hats and t-shirts should they purchase in order to maximize their profit? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #796295 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=796295\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The only constraint on the numbers of hats and t-shirts is the amount of money they have to spend buying the items.  Common sense -- or a basic familiarity with the formal method of solving this kind of problem -- tells us that the maximum profit is either with only hats or with only t-shirts.<br><BR>\n" );
document.write( "For $2250, the maximum number of hats they can buy is 2250/5 = 450; by selling 450 shirts their profit would be 450*$4 = $1800.<br><BR>\n" );
document.write( "For $2250, the maximum number of t-shirts they can buy is 2250/9 = 250; by selling 250 t-shirts their profit would be 250*$5 =$1250.<br><BR>\n" );
document.write( "ANSWER: the maximum profit is obtained by buy and sell only 450 hats.<br><BR>\n" );
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