document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191394>Question 1191394</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The manufacturer of an energy drink spends $1.50 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $5,000.<BR>\n" );
document.write( "(a)<BR>\n" );
document.write( "Find the cost function C when x energy drinks are manufactured.<BR>\n" );
document.write( "C(x) = <BR>\n" );
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document.write( "(b)<BR>\n" );
document.write( "Find the revenue function R when x drinks are sold.<BR>\n" );
document.write( "R(x) = <BR>\n" );
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document.write( "(c)<BR>\n" );
document.write( "Show the break-even point by graphing both the revenue and cost functions on the same grid. (Plot each function as a line, not a ray.)\r<BR>\n" );
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document.write( "(d)<BR>\n" );
document.write( "Find the break-even point. Interpret what the break-even point means.<BR>\n" );
document.write( "When___energy drinks are sold, the cost and revenue equal $___. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823202 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=823202\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> c(x) = 5000 + 1.5 * x<BR>\n" );
document.write( "r(x) = 2 * x<BR>\n" );
document.write( "break even when r(x) = c(x)<BR>\n" );
document.write( "this means:<BR>\n" );
document.write( "5000 + 1.5 * x = 2 * x<BR>\n" );
document.write( "subtract 1.5 * x from both sides of this equation to get:<BR>\n" );
document.write( "5000 = .5 * x<BR>\n" );
document.write( "solve for x to get:<BR>\n" );
document.write( "x = 5000 / .5 = 10,000<BR>\n" );
document.write( "break even is when x = 10,000 drinks are made and sold.<BR>\n" );
document.write( "when x = 10,000:<BR>\n" );
document.write( "c(x) = 5000 + 1.5 * 10,000 = 20,000<BR>\n" );
document.write( "r(x) = 2 * 10,000 = 20,000<BR>\n" );
document.write( "revenue equals cost.<BR>\n" );
document.write( "that's the break even point.<BR>\n" );
document.write( "there is no profit and no loss.<BR>\n" );
document.write( "make and sell more than 10,000 units each month and you have a profit.<BR>\n" );
document.write( "make and sell less than 10,000 units each month and you have a loss.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );