document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=142102>Question 142102</A>: <I><SPAN STYLE=\"word-break: break-all;\"> IS THERE ANYONE WHO CAN HELP ME WITH THIS????\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "acme cycle shop stocks two models of bicycles.one model costs the shop $100, and the other model costs $200. the profit on the $100 model $50. the profit on the $200 model is $75. \r<BR>\n" );
document.write( "\n" );
document.write( "a) if the number of $100 bikes is x, and the number of $200 bikes is y, write an inequaltiy that states that the display space has room for no more than 20 bikes.\r<BR>\n" );
document.write( "\n" );
document.write( "b)write an inequality that states that the store cannot pay more than $3200 for their stocks of bikes.\r<BR>\n" );
document.write( "\n" );
document.write( "c)write inequalities that state that the store cannot sell negative nubers of bikes.\r<BR>\n" );
document.write( "\n" );
document.write( "d)if the profit of the $100 bikes is $50, and the profit on the $200 model is $75, write th eprofit function P(x,y)\r<BR>\n" );
document.write( "\n" );
document.write( "e) graph the comstraints\r<BR>\n" );
document.write( "\n" );
document.write( "f) how many of each should the shop order to make the maximun profit? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #103474 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=103474\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> acme cycle shop stocks two models of bicycles.<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "one model costs the shop $100, and the other model costs $200<BR>\n" );
document.write( "--------------------. <BR>\n" );
document.write( "the profit on the $100 model $50. the profit on the $200 model is $75.<BR>\n" );
document.write( "--------------------------------------- <BR>\n" );
document.write( "a) if the number of $100 bikes is x, and the number of $200 bikes is y, write an inequaltiy that states that the display space has room for no more than 20 bikes.<BR>\n" );
document.write( "x + y <= 20<BR>\n" );
document.write( "----------------------- <BR>\n" );
document.write( "b)write an inequality that states that the store cannot pay more than $3200 for their stocks of bikes.<BR>\n" );
document.write( "100x + 200y <= 3200<BR>\n" );
document.write( "------------------------- <BR>\n" );
document.write( "c)write inequalities that state that the store cannot sell negative nubers of bikes. <BR>\n" );
document.write( "x >= 0 ; y >= 0<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "d)if the profit of the $100 bikes is $50, and the profit on the $200 model is $75, write the profit function P(x,y) <BR>\n" );
document.write( "P(x,y) = 50x + 75y<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "e) graph the comstraints <BR>\n" );
document.write( "y <= 20-x<BR>\n" );
document.write( "y <= 16-(1/2)x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C45%2C-10%2C45%2C16-%281%2F2%29x%2C20-x%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C45%2C-10%2C45%2C16-%281%2F2%29x%2C20-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "f) how many of each should the shop order to make the maximun profit?<BR>\n" );
document.write( "Find the coordinates of the vertices of the area inclosed in the 1st quadrant:<BR>\n" );
document.write( "(0,0), (0,16),(8,12), (20,0)<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Substitute each of these x/y pairs into the profit equation to see <BR>\n" );
document.write( "which pair gives the maximum profit:P(x,y) = 50x + 75y<BR>\n" );
document.write( "(0,0) doesn't<BR>\n" );
document.write( "(0,16) gives 75*16 = 1200<BR>\n" );
document.write( "(8,12) gives 50*8+12*75 = 1300<BR>\n" );
document.write( "(20,0) gives 50*20 = 1000 <BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "So 8 of the 100 dollar and 12 of the 200 dollar gives the maximum profit.<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );