document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=415235>Question 415235</A>: <I><SPAN STYLE=\"word-break: break-all;\"> So hi, (: <BR>\n" );
document.write( "I have two problems that I keep getting wrong ? \r<BR>\n" );
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document.write( "Heres the first one..<BR>\n" );
document.write( "A toy company spends $1500 each day for factory expenses plus $8 per teddy bear. If the company sells the bear for $12.00 each, how many bears must it sell in on day to equal it's daily cost? \r<BR>\n" );
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document.write( "I did the problem & put this:<BR>\n" );
document.write( "1500/12=125<BR>\n" );
document.write( "So 125 bears have to be sold to equal the daily cost. \r<BR>\n" );
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document.write( "I have to define a variable for the unknown that you are looking for and then write an equation you can solve for that variable, \r<BR>\n" );
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document.write( "So yeah I'm confused \r<BR>\n" );
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document.write( "Anyways, Here's the 2nd problem:<BR>\n" );
document.write( "Solve the following problem. Include your work by showing steps you took to solve it or explain in words what you did. \r<BR>\n" );
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document.write( "If consecutive integers are defined as n, n+1, etc., How would consecutive EVEN integers be defined? \r<BR>\n" );
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document.write( "Problem: The sum of four consecutive even integers is 308. Write & solve an equation to find the four integers. \r<BR>\n" );
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document.write( "Thanks guys, your all very helpful! Hope someone see's or understands this fast :) <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 #291164 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=291164\">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( "Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> represent the number of items produced in one day.  Then <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 8x\"> dollars is the variable cost based on the number of items produced and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 8x\ +\ 1500\"> must be the total cost.   The total revenue is the price times the number of items sold.  So if you let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y\"> be the number of items sold, then <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 12y\"> dollars is the revenue.\r<BR>\n" );
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document.write( "The difficulty with the problem as stated is that there is no data or information given that allows us to relate the number of items produced with the number of items sold.\r<BR>\n" );
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document.write( "The breakeven point is where the total revenue is equal to the total cost:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 8x\ +\ 1500\ =\ 12y\">.\r<BR>\n" );
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document.write( "Which is a single linear equation in two variables, having an infinite number of solutions.  This means there is no definative answer to the question.\r<BR>\n" );
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document.write( "If you assume, though you really have no right to do so given the wording of the problem, that the number sold is equal to the number produced, then you have two equations:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ y\">\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 8x\ +\ 1500\ =\ 12y\">\r<BR>\n" );
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document.write( "And you can solve the system by first substituting:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 8x\ +\ 1500\ =\ 12x\">\r<BR>\n" );
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document.write( "and then solving by ordinary means.\r<BR>\n" );
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document.write( "However, consider the case where they sold 100 items less than they produced.  Then you would have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ -\ 100\ =\ y\">\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 8x\ +\ 1500\ =\ 12y\">\r<BR>\n" );
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document.write( "And you can solve the system by first substituting:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 8x\ +\ 1500\ =\ 12(x\ -\ 100)\">\r<BR>\n" );
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document.write( "and the solution in this case is very different.\r<BR>\n" );
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document.write( "You only get to ask one question per post.  Re-post your second question.\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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