document.write( "Question 948181: I am having a hard time solving this. Can you help?\r
\n" ); document.write( "\n" ); document.write( "The profit function for selling x units of a certain product is given by
\n" ); document.write( "\"P%28x%29=-x%5E2%2B900x-160%2C000\"
\n" ); document.write( "A.)State the value of 'a', 'b,' and 'c' of the quadratic function P(x).
\n" ); document.write( "B.)Find the vertex of the graph of P(x).
\n" ); document.write( "C.)For what number of units is maximum profit achieved?
\n" ); document.write( " What is the maximum profit? Remember to include appropriate labels (units) in your answer.
\n" ); document.write( "

Algebra.Com's Answer #578686 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!
I am having a hard time solving this. Can you help?\r
\n" ); document.write( "\n" ); document.write( "The profit function for selling x units of a certain product is given by
\n" ); document.write( "\"P%28x%29=-x%5E2%2B900x-160%2C000\"
\n" ); document.write( "A.)State the value of 'a', 'b,' and 'c' of the quadratic function P(x).
\n" ); document.write( "B.)Find the vertex of the graph of P(x).
\n" ); document.write( "C.)For what number of units is maximum profit achieved?
\n" ); document.write( " What is the maximum profit? Remember to include appropriate labels (units) in your answer.
\n" ); document.write( "
A.
\n" ); document.write( "\"P%28x%29+=+-+x%5E2+%2B+900x+-+160\"
\n" ); document.write( "a = - 1
\n" ); document.write( "b = 900
\n" ); document.write( "c = - 160\r
\n" ); document.write( "\n" ); document.write( "B.
\n" ); document.write( "x-coordinate of vertex is: x = \"-+b%2F%282a%29\", or \"x+=+-+900%2F%282+%2A+-+1%29\", or \"x+=+%28-+900%29%2F%28-+2%29\", or \"x+=+450\"
\n" ); document.write( "y-coordinate of vertex is: \"y+=+-+450%5E2+%2B+900%28450%29+-+160\", or \"y+=+202340\"
\n" ); document.write( "Vertex: \"%22%28%22\"\"highlight_green%28450%29\"\"%22%2C%22\"\"highlight_green%28202340%29\"\"%22%29%22\"\r
\n" ); document.write( "\n" ); document.write( "C.
\n" ); document.write( "Number of units that produces maximum profit: \"highlight_green%28450%29\"
\n" ); document.write( "Maximum profit: \"highlight_green%28%22%24%22202340%29\" \n" ); document.write( "
\n" );