document.write( "Question 1147368: The demand function for a product is p=128−8q\r
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Algebra.Com's Answer #768676 by ikleyn(52805) $\"\"$ $\"About$

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document.write( "Revenue R is the product of values of  \"q\"  and \"p\"\r\n" );
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document.write( "    R = q*p = q*(128-8q).\r\n" );
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document.write( "In this form, it is a quadratic function of \"q\", presented as the product of two linear binomials.\r\n" );
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document.write( "The roots of R as the function of \"q\"  are  q = 0  and  q =  = 16.\r\n" );
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document.write( "The maximum value of R as the function of \"q\"  is exactly half way between the roots.\r\n" );
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document.write( "Thus you found that the maximum of R(q)  is achieved at  q=  = 8.\r\n" );
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document.write( "The value of the maximum is  \r\n" );
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document.write( "    R(8) = 8*(128 - 8*8) = 8*(128-64) = 8*64 = 512.\r\n" );
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