document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=858266>Question 858266</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The cost of producing x number of products is given by C(x)=115x + 51,471. Income from the sale of these products is given by R(x)=502x.\r<BR>\n" );
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document.write( "a) Find the cost to produce 250 products<BR>\n" );
document.write( "b) Find the average cost if 400 products are produced<BR>\n" );
document.write( "c) Find the profit function, P(x)<BR>\n" );
document.write( "d) Will a profit or loss occur if 100 products are made or sold?<BR>\n" );
document.write( "e) Find the break-even quantity of products </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #517148 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=517148\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The cost of producing x number of products is given by C(x)=115x + 51,471. Income from the sale of these products is given by R(x)=502x.\r<BR>\n" );
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document.write( "a) Find the cost to produce 250 products\r<BR>\n" );
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document.write( "C(x)=115x + 51,471\r<BR>\n" );
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document.write( "C(x)=115*250 + 51,471<BR>\n" );
document.write( "= $80,221. 00<BR>\n" );
document.write( "b) Find the average cost if 400 products are produced\r<BR>\n" );
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document.write( "=115*400 + 51,471 <BR>\n" );
document.write( "=97471\r<BR>\n" );
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document.write( "Mean = 97471/400 =$243.68\r<BR>\n" );
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document.write( "c) Find the profit function, P(x)\r<BR>\n" );
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document.write( "P(x) = R(x) - c(x)<BR>\n" );
document.write( "P(x)=502x-115x - 51,471<BR>\n" );
document.write( "=387x -51,471\r<BR>\n" );
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document.write( "d) Will a profit or loss occur if 100 products are made or sold?<BR>\n" );
document.write( "P(x) = R(x) - c(x)<BR>\n" );
document.write( "=387x -51,471<BR>\n" );
document.write( "P(100) = 38700-51,471<BR>\n" );
document.write( "=-12771\r<BR>\n" );
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document.write( "The negative sign indicates that it will be a loss<BR>\n" );
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document.write( "e) Find the break-even quantity of products\r<BR>\n" );
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document.write( "For break even R(x) = C(x)\r<BR>\n" );
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document.write( "502x=115x + 51,471\r<BR>\n" );
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document.write( "387x= 51471<BR>\n" );
document.write( "x= 51471/387\r<BR>\n" );
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document.write( "x= 133 the break even quantity </SPAN>\n" );
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