document.write( "Question 1202410: A new media platform, JP Productions, uses a model to discover the maximum profit
\n" ); document.write( "it can make with advertising. The company makes a $6,000 profit when the
\n" ); document.write( "platform uses 100 or 200 minutes a day on advertisement. The maximum profit
\n" ); document.write( "of $10,000, can occur when 150 minutes of a day’s platform is used on
\n" ); document.write( "advertisements. Which of the following functions represents profit, PP(mm), where mm
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\n" ); document.write( "\n" ); document.write( "A P(m) = −0.064(x + 150^2 − 10000
\n" ); document.write( "B P(m) = −1.6(x − 150)^2 + 10000
\n" ); document.write( "C P(m) = −(x − 1000)(x − 6000)
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Algebra.Com's Answer #837231 by ikleyn(52786) $\"\"$ $\"About$

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document.write( "(A)  Formula (A) is written incorrectly,\r\n" );
document.write( "     so we will not discuss it.\r\n" );
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document.write( "(B)  Formula (B) correctly describes the given information,\r\n" );
document.write( "     giving the maximum value of $10000 at x= 150 minutes\r\n" );
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document.write( "     and giving correct values of $6000 at x= 100 minutes and x= 200  minutes.\r\n" );
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document.write( "(C)  Formula (C) gives the maximum half-way between the roots 1000 and 6000, i.e. at x= 3500,\r\n" );
document.write( "     which is not the case.  So, formula (C) does not work.\r\n" );
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document.write( "(D)  Formula (D) gives the maximum half-way between the roots 100 and 200, i.e. at x= 150,\r\n" );
document.write( "     which is good; but it gives the zero values at x= 100 and x= 200 minutes,\r\n" );
document.write( "     which is not consistent with the given info.\r\n" );
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document.write( "ANSWER.  Only formula (B) is consistent with the description.\r\n" );
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