document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=109284>Question 109284</A>: <I><SPAN STYLE=\"word-break: break-all;\"> greatly appreciate your help on this question - thank you<BR>\n" );
document.write( "Determine the revenue function:  a company has found that if they produce x units of a product, they must sell them each at $10 - 0.2x if they are to sell them all.<BR>\n" );
document.write( " would revenue function be  R(x) = P*q = (10 - 0.2x)*x\r<BR>\n" );
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document.write( "and also, their fixed costs are $40 and their Variable costs per unit are $1 Determine the cost and profit functions<BR>\n" );
document.write( "Functions are cost = 1(x) + 40 ?<BR>\n" );
document.write( "Profit function = total revenue - total cost<BR>\n" );
document.write( "                = -0.2x^2 + 9x + 40 ?<BR>\n" );
document.write( "Am I at all close? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #79678 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=79678\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine the revenue function: a company has found that if they produce x units of a product, they must sell them each at $10 - 0.2x if they are to sell them all.<BR>\n" );
document.write( "would revenue function be R(x) = P*q = (10 - 0.2x)*x<BR>\n" );
document.write( "Yes, that is correct for the Revenue equation.<BR>\n" );
document.write( "---------------------- <BR>\n" );
document.write( "and also, their fixed costs are $40 and their Variable costs per unit are $1 Determine the cost and profit functions<BR>\n" );
document.write( "Functions are cost = 1(x) + 40 ?<BR>\n" );
document.write( "Yes, that is correct for the Cost equation.<BR>\n" );
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document.write( "Profit function = total revenue - total cost<BR>\n" );
document.write( "10x-0.2x^2 = x+40<BR>\n" );
document.write( "-0.2x^2+9x-40=0<BR>\n" );
document.write( "Rearrange:<BR>\n" );
document.write( "0.2x^2-9x+40=0<BR>\n" );
document.write( "Multiply thru by 5 to get rid of the decimal:<BR>\n" );
document.write( "x^2 - 45x + 200 = 0<BR>\n" );
document.write( "x = [45 +- sqrt(45^2-4*200)]/2<BR>\n" );
document.write( "x = [45 +- 35]/2<BR>\n" );
document.write( "x = 40 or x = 5<BR>\n" );
document.write( "=======<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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