document.write( "Question 1147314: THE COST IN MILLIONS OF DOLLARS FOR A COMPANY TO MANUFACTUREX THOUSAND AUTOMOBILES IS GIVEN BY THE FUNCTION C(X)=4X^2-16X+32. fIND THE NUMBER OF AUTOMOBILES THAT MUST BE PRODUCED TO MINIMIZE THE COST \n" ); document.write( "
Algebra.Com's Answer #768626 by ikleyn(52777)\"\" \"About 
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document.write( "For any quadratic function y = ax^2 + bx + c with positive value of the leading coefficient \"a\", it achieves the minimum at\r\n" );
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document.write( "    x = \"-b%2F%282a%29\".\r\n" );
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document.write( "In your case,  a= 4, b= -16, so it achieves the minimum at  x=  \"-%28-16%29%2F%282%2A4%29\" = \"16%2F8\" = 2.\r\n" );
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document.write( "ANSWER.   2 thousand automobiles\r\n" );
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\n" ); document.write( "\n" ); document.write( "On finding the maximum/minimum of a quadratic function, see the lessons \r
\n" ); document.write( "\n" ); document.write( "    - HOW TO complete the square to find the minimum/maximum of a quadratic function\r
\n" ); document.write( "\n" ); document.write( "    - Briefly on finding the minimum/maximum of a quadratic function\r
\n" ); document.write( "\n" ); document.write( "    - HOW TO complete the square to find the vertex of a parabola\r
\n" ); document.write( "\n" ); document.write( "    - Briefly on finding the vertex of a parabola\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook under the topic \"Finding minimum/maximum of quadratic functions\". \r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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