document.write( "Question 78611This question is from textbook Elementary and Intermediate Algebra
\n" ); document.write( ": Tropical pools sells an aboveground model for p dollars each. The monthly revenue from the sale of this model is given by
\n" ); document.write( "R=-0.08p^2+300p
\n" ); document.write( "revenue is the product of the price p and the demand (quantity sold).\r
\n" ); document.write( "\n" ); document.write( "A) Factor out the price on the right hand side of the formula
\n" ); document.write( "B) What is the expression of the monthly demand?
\n" ); document.write( "C) What is the monthly demand for the pool when the price is $3000
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Algebra.Com's Answer #56371 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Tropical pools sells an aboveground model for p dollars each. The monthly
\n" ); document.write( "revenue from the sale of this model is given by
\n" ); document.write( "R=-0.08pē + 300p
\n" ); document.write( "revenue is the product of the price p and the demand (quantity sold).
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\n" ); document.write( "A) Factor out the price on the right hand side of the formula\r
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document.write( "R = -.08pē + 300p\r\n" );
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document.write( "Do what it says and factor out p\r\n" );
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document.write( "R = p(-.08p + 300)\r\n" );
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\n" ); document.write( "B) What is the expression of the monthly demand?
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document.write( "We reason this way:\r\n" );
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document.write( "We first notice that it says\r\n" );
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document.write( "\"revenue R is the product of the price p and the demand (quantity sold).\"\r\n" );
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document.write( "We know that \"product of p and the demand\" means that p is multiplied by\r\n" );
document.write( "demand.\r\n" );
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document.write( "Therefore we know that revenue R means \"p multiplied by demand\".\r\n" );
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document.write( "Now we look at the formula for the revenue R\r\n" );
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document.write( "R = p(-.08p + 300)\r\n" );
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document.write( "and ask ourselves \"What is p multiplied by in that formula?\"\r\n" );
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document.write( "We look and see that right after p we see a parentheses with \r\n" );
document.write( "(-.08p + 300).\r\n" );
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document.write( "So we say \"Hey, in the formula for revenue R we see that\r\n" );
document.write( "p is multiplied by (-.08p + 300)\"\r\n" );
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document.write( "Then we look up there again where it says  \r\n" );
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document.write( "\"revenue R means \"p multiplied by demand\".  \r\n" );
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document.write( "Then we reason \"Well since the revenue R means \"p multiplied by demand\"\r\n" );
document.write( "and we notice in the formula for revenue R has p next to and therefore\r\n" );
document.write( "multiplied by (-.08p + 300), it must mean that the demand and (-.08p + 300)\r\n" );
document.write( "are the same thing.  So since they are the same thing, they must be equal,\r\n" );
document.write( "so we write\r\n" );
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document.write( "           DEMAND = -.08p + 300\r\n" );
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\n" ); document.write( "C) What is the monthly demand for the pool when the price is $3000
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document.write( "Since p stands for price we plug in $3000 for p in the formula\r\n" );
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document.write( "           DEMAND = -.08p + 300\r\n" );
document.write( "           DEMAND = -.08(3000) + 300\r\n" );
document.write( "           DEMAND = -240 + 300\r\n" );
document.write( "           DEMAND = 60\r\n" );
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document.write( "Since up there is says that the demand is the quantity sold, we\r\n" );
document.write( "see that there must have been 60 sold.\r\n" );
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document.write( "Edwin
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