document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1163859>Question 1163859</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A leading manufacturer of video games is about to introduce four new games. The accompanying table<BR>\n" );
document.write( "summarizes price and cost data, Combined fixed costs equal $600,000. A marketing research study predicts that<BR>\n" );
document.write( "for each unit sold of Diablo, 2 units of Call of Duty: Modern Warfare, 3 units of Sekiro and 4 units of Starcraft II<BR>\n" );
document.write( "will be sold.<BR>\n" );
document.write( "Games<BR>\n" );
document.write( "Diablo Call of Duty Sekiro Starcraft II<BR>\n" );
document.write( "Selling Price (in dollars) 55 48 33 22<BR>\n" );
document.write( "Variable cost/unit (in dollars) 22 17 12 11<BR>\n" );
document.write( "a) How many product mix units must be sold to break even?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #788129 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=788129\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "The first thing is that you must assume that every game produced will be sold. Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> represent the number of units of Diablo produced and sold.  Then <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 2x\"> is the number of COD, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 3x\"> is the number of Sekiro, and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 4x\"> is the number of Starcraft.\r<BR>\n" );
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document.write( "Then the variable cost is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ C_v(x)\ =\ 22x\ +\ 17(2x)\ +\ 12(3x)\ +\ 11(4x)\ =\ 136x\">\r<BR>\n" );
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document.write( "Then the total production cost is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ C_T(x)\ =\ 136x\ +\ 600000\">\r<BR>\n" );
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document.write( "The revenue function is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ R(x)\ =\ 55x\ +\ 48(2x)\ +\ 33(3x)\ +\ 22(4x)\ =\ 338x\">\r<BR>\n" );
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document.write( "The profit function is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ P(x)\ =\ R(x)\ -\ C_T(x)\">\r<BR>\n" );
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document.write( "Break even means zero profit.  So solve\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ R(x)\ =\ C_T(x)\">\r<BR>\n" );
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document.write( "to find the number of unit mix units that must be sold to break even <i>given that no unsold units were produced</i>\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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