document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=119730>Question 119730</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Break-Even Analysis To produce x units of a religious<BR>\n" );
document.write( "medal costs C(x)=12x+30. The revenue is R(x)=25x.<BR>\n" );
document.write( "Both C(x)and R(x)are in dollars.<BR>\n" );
document.write( "a. Find the break-even quantity.<BR>\n" );
document.write( "b. Find the profit from 250 units.<BR>\n" );
document.write( "c. Find the number of units that must be produced for a<BR>\n" );
document.write( "profit of $130. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #87767 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=87767\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Break-Even Analysis To produce x units of a religious<BR>\n" );
document.write( "medal costs C(x)=12x+30. The revenue is R(x)=25x.<BR>\n" );
document.write( "Both C(x)and R(x)are in dollars.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a. Find the break-even quantity.<BR>\n" );
document.write( "Break even occurs when Revenue = Cost<BR>\n" );
document.write( "25x = 12x + 30<BR>\n" );
document.write( "25x - 12x = 30<BR>\n" );
document.write( "13x = 30<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F13 ALIGN=MIDDLE  ALT=\"30%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2.3 units which isn't a unit at all choose 2 units or 3 units<BR>\n" );
document.write( ":<BR>\n" );
document.write( "b. Find the profit from 250 units.<BR>\n" );
document.write( "Profit = Revenue - Cost<BR>\n" );
document.write( "P = 25x - (12x + 30)<BR>\n" );
document.write( "P = 25x - 12x - 30; removing the brackets changes the signs<BR>\n" );
document.write( "P = 13x - 30<BR>\n" );
document.write( "Substitute 250 for x to find the profit on 250 units<BR>\n" );
document.write( "P = 13(250) - 30<BR>\n" );
document.write( "P = 3250 - 30<BR>\n" );
document.write( "P = $3,220 is the profit on 250 units<BR>\n" );
document.write( ":<BR>\n" );
document.write( "c. Find the number of units that must be produced for a<BR>\n" );
document.write( "profit of $130.<BR>\n" );
document.write( "Use the above equation 13x - 30 = P substitute 130 for P and find x<BR>\n" );
document.write( "13x - 30 = 130<BR>\n" );
document.write( "13x = 130 + 30<BR>\n" );
document.write( "13x = 160<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=160%2F13 ALIGN=MIDDLE  ALT=\"160%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 12.3 ~ 13 units to make at least a $130 profit<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "We can confirm that: <BR>\n" );
document.write( "13(12) - 30 = $126<BR>\n" );
document.write( "13(13) - 30 = $139<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "How about this, did it all make sense to you? Any questions? </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );