document.write( "Question 1162281: For a certain company, the cost for producing x items is 35x+300 and the revenue for selling x items is 75x−0.5x2\r
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document.write( "Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.)\r
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document.write( "Part b: Find two values of x that will create a profit of $50. \n" );
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Algebra.Com's Answer #786052 by ikleyn(52866) You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "(a) The profit is the revenue minus the cost\r\n" ); document.write( "\r\n" ); document.write( " P(x) = (75x - 0.5x^2) - (35x + 300) = -0.5x^2 + 40x - 300.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(b) For it, solve the quadratic equation\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " P(x) = 50, which is -0.5x^2 + 40x - 300 = 50.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "-----------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "When a person gets such a problem, it is assumed that he knows how to solve quadratic equations.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If, in opposite, you don't know how to solve them, consult these lessons\r \n" ); document.write( "\n" ); document.write( " - Introduction into Quadratic Equations\r \n" ); document.write( "\n" ); document.write( " - PROOF of quadratic formula by completing the square\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |