document.write( "Question 1153502: there are a few parts to this question and i am not sure where to start. any help is greatly appreciated \r
\n" ); document.write( "\n" ); document.write( "The cost function for a certain company is C (Q) = 60Q + 300 and the revenue is given by R = 100Q − 0.5Q2. Recall that profit is Revenue R(Q) minus cost C(Q)è R(Q) - C(Q).\r
\n" ); document.write( "\n" ); document.write( "Set up a quadratic equation and
\n" ); document.write( "Solve the quadratic equation to find the breakeven output (Q).
\n" ); document.write( "What does the second breakeven point indicate?
\n" ); document.write( "Is that the output level that maximizes profit for the company?
\n" ); document.write( "If not, at what output level (Q) will the company’s profit be a maximum?
\n" ); document.write( "Use MS-Excel to find two values of Q (production level) that will create a profit of $300
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Algebra.Com's Answer #775741 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "            The point to start is THIS :\r
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document.write( "The cost function    is  C(Q) = \"60%2AQ+%2B+300\"      (given !)\r\n" );
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document.write( "The revenue function is  R(Q) = \"100%2AQ+-+0.5Q%5E2\"  (given !)\r\n" );
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document.write( "The profit function is the difference  \r\n" );
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document.write( "    P(Q) = R(Q) - C(Q) = \"100%2AQ-0.5Q%5E2\" - \"%2860%2AQ%2B300%29\" = \"-0.5%2AQ%5E2+%2B+40%2AQ+-+300\".\r\n" );
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document.write( "Again, the profit is this quadratic function of Q\r\n" );
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document.write( "    P(Q) = \"-0.5%2AQ%5E2+%2B+40%2AQ+-+300\".\r\n" );
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document.write( "Now, for the break even-point the equation is  P(Q) = 0  (saying \"NO PROFIT\"), or\r\n" );
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document.write( "    \"-0.5%2AQ%5E2+%2B+40%2AQ+-+300\" = 0.\r\n" );
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document.write( "Thus I setup the basic equation for you.\r\n" );
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document.write( "Now, to answer the first question, you should solve this equation and find its roots.\r\n" );
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\n" ); document.write( "\n" ); document.write( "At this point I want to STOP, since you asked to show you how to start.\r
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\n" ); document.write( "\n" ); document.write( "My post explains it . . . \r
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\n" ); document.write( "\n" ); document.write( "If you still have questions, do not hesitate ask them.\r
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\n" ); document.write( "\n" ); document.write( "You may report to the forum about your progress, if you want.\r
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\n" ); document.write( "\n" ); document.write( "Boldly move forward (!)\r
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