document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29851>Question 29851</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the demand d and the supply s for snowboards are d=360/p and s=150p-510 find the profit p, in hundreds of thousands of dollars, at the equilibrium point when supply and demand equal.<BR>\n" );
document.write( "thanks for the help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #16607 by </B><A HREF=/tutors/aboutme.mpl?userid=ikdeep><B>ikdeep(226)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikdeep><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=ikdeep><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=16607\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> d=360/p ............(1)\r<BR>\n" );
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document.write( "s=150p-510 ..........(2)\r<BR>\n" );
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document.write( "it is given that at the equilibrium point when supply and demand equal.<BR>\n" );
document.write( "thanks for the help,,so we get \r<BR>\n" );
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document.write( "360/p = 150p - 510 \r<BR>\n" );
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document.write( "on multiplying both sides by p we get \r<BR>\n" );
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document.write( "360 = 150p^2 - 510p\r<BR>\n" );
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document.write( "or 0 = 150p^2 - 510p - 360 \r<BR>\n" );
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document.write( "on dividing both sides by 30,, we get...\r<BR>\n" );
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document.write( "0 = 5p^2 - 17p - 360\r<BR>\n" );
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document.write( "Here you must know how we make factors i.e. splitting of the middle term...if you might not know then please contact me again and I will explain to you)... and we get......\r<BR>\n" );
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document.write( "0 =  5p^2 - (20 - 3)p - 360....solving the brackets wolud give...\r<BR>\n" );
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document.write( "0 =  5p^2 - 20p + 3p - 360\r<BR>\n" );
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document.write( "taking common from first two i.e. 5p^2 - 20p and last two i.e. 3p - 360<BR>\n" );
document.write( "variables...we get \r<BR>\n" );
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document.write( "0 = 5p (p-4) + 3(p-4)..\r<BR>\n" );
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document.write( "or 0 = (5p + 3)(p - 4)..\r<BR>\n" );
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document.write( "You know that the product two numbers or variables becomes equal to zero if atleast one of them is zero....<BR>\n" );
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document.write( "therefore either  (5p + 3) = 0<BR>\n" );
document.write( "or (p - 4)= 0<BR>\n" );
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document.write( "if (5p + 3) = 0  the profit  = -3/5<BR>\n" );
document.write( "and since profit can't be in negative so this can't be values of profit<BR>\n" );
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document.write( "and if  (p - 4)= 0 the profit  = 4\r<BR>\n" );
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document.write( " or profit = 4 hundreds of thousands of dollars<BR>\n" );
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document.write( "hope this will help you \r<BR>\n" );
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document.write( "Please feel free to revert back for any further queries.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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