document.write( "Question 1149669: The total cost of producing a type of car is given by C(x)=23000−30x+0.04x^2, where x is the number of cars produced. How many cars should be produced to incur minimum cost? \n" ); document.write( "
Algebra.Com's Answer #771005 by ikleyn(52876)\"\" \"About 
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document.write( "You are given a quadratic function  C(x) = 23000 - 30x + 0.04x^2.\r\n" );
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document.write( "Any quadratic function y = ax^2 + bx + c  with positive leading coefficient at x^2 has the minimum at the value of \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= 0.04  and  b= 30. Hence, the given quadratic function gets the minimum at\r\n" );
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document.write( "    x = \"-30%2F%282%2A%28-0.04%29%29\" = 375.\r\n" );
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document.write( "ANSWER.  375 cars should be produced to get minimum cost.\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
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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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