document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179365>Question 1179365</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A Company manufactures two different products, A and B. Each unit of product A costs $6 to produce and each unit of product B costs $4. The Company insists that total costs for the two products be $500.<BR>\n" );
document.write( "(a) Define the cost equation which states that the total cost of producing x units of product A and y units of product B equals $500<BR>\n" );
document.write( "(b) Assuming the Company has agreed to fill an order for 50 units of product A, how many units of product B should be produced if total costs are to be kept at $500?\r<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 #850241 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(1959)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><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=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=850241\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's solve this problem step-by-step:\r<BR>\n" );
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document.write( "**(a) Define the Cost Equation:**\r<BR>\n" );
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document.write( "* Let 'x' represent the number of units of product A produced.<BR>\n" );
document.write( "* Let 'y' represent the number of units of product B produced.<BR>\n" );
document.write( "* The cost of producing 'x' units of product A is 6x.<BR>\n" );
document.write( "* The cost of producing 'y' units of product B is 4y.<BR>\n" );
document.write( "* The total cost is the sum of these costs, which must equal $500.\r<BR>\n" );
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document.write( "Therefore, the cost equation is:\r<BR>\n" );
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document.write( "**6x + 4y = 500**\r<BR>\n" );
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document.write( "**(b) Calculate the Number of Units of Product B:**\r<BR>\n" );
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document.write( "* We are given that x = 50.<BR>\n" );
document.write( "* Substitute x = 50 into the cost equation:<BR>\n" );
document.write( "    * 6(50) + 4y = 500<BR>\n" );
document.write( "    * 300 + 4y = 500\r<BR>\n" );
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document.write( "* Solve for y:<BR>\n" );
document.write( "    * 4y = 500 - 300<BR>\n" );
document.write( "    * 4y = 200<BR>\n" );
document.write( "    * y = 200 / 4<BR>\n" );
document.write( "    * y = 50\r<BR>\n" );
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document.write( "**Answer:**\r<BR>\n" );
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document.write( "(a) The cost equation is 6x + 4y = 500.<BR>\n" );
document.write( "(b) The company should produce 50 units of product B.<BR>\n" );
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