document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=158542>Question 158542</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a financial advisor has conducted some research and has advised a company that the cost of producing their new transistor radio c, can be modeled by the equation c=18.96x+5275, where x is the number of radios produced.  The advisor has also conducted research to determine that the best selling price of the radio is $29.99. As a result, the best model for the company's revenue R is the equation R=29.99x, where x is the number of radios sold.\r<BR>\n" );
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document.write( "The company executives have decided that they are willing to invest $10,000 in the new product.  If this money is to be used for the costs of the radios, how many radios should the company be able to produce?\r<BR>\n" );
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document.write( "If the company produces the maximum number of radios with their $10,000 investment and all the radios are sold, how much revenue will the company generate from the new product? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #116805 by </B><A HREF=/tutors/aboutme.mpl?userid=gonzo><B>gonzo(654)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gonzo><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=116805\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> based on the numbers you provided, this is the solution.<BR>\n" );
document.write( "cost of building radios is $5275.00 + ($18.96)*x where x is the number of radios produced.<BR>\n" );
document.write( "Investment is $10,000 to produce maximum number of radios.<BR>\n" );
document.write( "maximum number of radios that can be produced for $10,000 is determined by the formula below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10000+=+5275+%2B+x%2A%2818.96%29 ALIGN=MIDDLE  ALT=\"10000+=+5275+%2B+x%2A%2818.96%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "solving for x, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2810000+-+5275%29%2F18.96%29=x ALIGN=MIDDLE  ALT=\"x=%2810000+-+5275%29%2F18.96%29=x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "this becomes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4725%2F%2818.96%29 ALIGN=MIDDLE  ALT=\"x=4725%2F%2818.96%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "this becomes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=249.2 ALIGN=MIDDLE  ALT=\"x=249.2\"   DISABLED_style= \"max-width:90%; height:auto;\" > rounded to the nearest unit = 249 radios that can be produced.<BR>\n" );
document.write( "to check the numbers, we take 5275 + 249*18.96 = 5275 + 4721.04 = total cost of $9996.04 which leaves $3.96 left over.<BR>\n" );
document.write( "revenue from these 249 radio will be $29.99 * 249 = $7,467.51.<BR>\n" );
document.write( "based on the numbers given, revenue generated will be less than the cost to produce the radios. </SPAN>\n" );
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