document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1128754>Question 1128754</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How to solve this problem:\r<BR>\n" );
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document.write( "The price p of a certain product and the quantity sold x obey the demand equation p = -2/3x + 200 where x is greater than or equal to 0 and less than or equal to 300. Suppose that the cost C of producing x units is C = sqrt(x) / 20 + 800.\r<BR>\n" );
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document.write( "Assuming that all items produced are sold, find the cost C as a function of the price p. Simply your answer.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #745300 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=745300\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The price p of a certain product and the quantity sold x obey the demand equation<BR>\n" );
document.write( " p = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2F3 ALIGN=MIDDLE  ALT=\"-2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 200 where x is greater than or equal to 0 and less than or equal to 300.<BR>\n" );
document.write( " Suppose that the cost C of producing x units is C = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29%2F20 ALIGN=MIDDLE  ALT=\"sqrt%28x%29%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 800. <BR>\n" );
document.write( "Assuming that all items produced are sold, find the cost C as a function of the price p.<BR>\n" );
document.write( " Simplify your answer.<BR>\n" );
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document.write( "solve for x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2F3 ALIGN=MIDDLE  ALT=\"-2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 200 = p<BR>\n" );
document.write( "multiply by 3<BR>\n" );
document.write( "-2x + 600 = 3p<BR>\n" );
document.write( "-2x = 3p - 600<BR>\n" );
document.write( "multiply by -1<BR>\n" );
document.write( "2x = -3p + 600<BR>\n" );
document.write( "divide by 2<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F2 ALIGN=MIDDLE  ALT=\"-3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >p + 300<BR>\n" );
document.write( "we can write it<BR>\n" );
document.write( "x = -1.5p + 300<BR>\n" );
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document.write( "C = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29%2F20 ALIGN=MIDDLE  ALT=\"sqrt%28x%29%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 800<BR>\n" );
document.write( "replace x with (-1.5p+300)<BR>\n" );
document.write( "C = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-1.5p%2B300%29%2F20+%2B+800 ALIGN=MIDDLE  ALT=\"sqrt%28-1.5p%2B300%29%2F20+%2B+800\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    </SPAN>\n" );
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