document.write( "Question 1142279: Question one
\n" ); document.write( "The fixed costs of a company is Kshs 35,000 and the variable cost per unit is Kshs 500. The revenue function for sale of x units is given by . Find;
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\n" ); document.write( "iii) The values of x which result in a loss
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Algebra.Com's Answer #762985 by ikleyn(52817) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "In this post, you missed (lost) the key part: the expression for the revenue function.\r
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\n" ); document.write( "Comment from student : the revenue function by R(x)=5000x - 100x2.
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\n" ); document.write( "\n" ); document.write( "My response : OK. Then\r
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document.write( "(i)  The profit function is\r\n" );
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document.write( "     P(x) = R(x) - C(x) = (5000x - 100x^2) - (35000 + 500x) \r\n" );
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document.write( "(ii)  Break even value.\r\n" );
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document.write( "      To find it, solve this quadratic equation\r\n" );
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document.write( "          P(x) = R(x) - C(x) = 0,  which is the same as\r\n" );
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document.write( "          (5000x - 100x^2) - (35000 + 500x) = 0.\r\n" );
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document.write( "       Simplify the left side and write the equation in the standard form;\r\n" );
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document.write( "       then apply the quadratic formula  //or factoring, if it works// to find the root.\r\n" );
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document.write( "       The root of the quadratic equation will be your answer.\r\n" );
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document.write( "(iii) I am attaching the plot of the quadratic function for profit P(x)\r\n" );
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document.write( "    \r\n" );
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document.write( "Plot  of the profit function P(x) = (5000x - 100x^2) - (35000 + 500x).\r\n" );
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document.write( "In the plot, you see the roots.  The profit is positive where the parabola is over the x-axis.\r\n" );
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document.write( "The profit is negative (= loss) where the parabola is BELOW the x-axis.\r\n" );
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document.write( "This plot is your GUIDE to complete the solution on YOUR OWN.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Do not forget to post your \"THANKS\" to me.\r
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