document.write( "Question 1127680: Suppose that the price per unit in dollars of a cell phone production is modeled by p = $85 − 0.0125x,
\n" ); document.write( "where x is in thousands of phones produced, and the revenue represented by thousands of dollars is
\n" ); document.write( "R = x · p. Find the production level that will maximize revenue.
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Algebra.Com's Answer #744266 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "From the condition, the revenue is\r\n" );
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document.write( "    R(x) = x*p = x*(85-0.o0125x) = -0.00125 + 85x   thousands of dollars.\r\n" );
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document.write( "It is a quadratic function, and the problem asks you to find its maximum.\r\n" );
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document.write( "For the general form quadratic function  y(x) = ax^2 + bx + c  with the negative leading coefficient \"a\" \r\n" );
document.write( "the maximum is achieved at  x = .\r\n" );
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document.write( "In our case,  a = 0.0125,  b= 85,  so the maximum is achieved at \r\n" );
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document.write( "    x =  =  6800.\r\n" );
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document.write( "It is \"the production level that will maximize revenue\".   ANSWER\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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