document.write( "Question 430209: The profit that the vendor makes per day by selling x pretzels is given by the function P(x)=-0.002x(squared)+1.4x-150. Find the number of pretzels that must be sold to maximized profit. \n" ); document.write( "
Algebra.Com's Answer #298773 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
P(x)=-0.002x^2+1.4x-150
\n" ); document.write( ".
\n" ); document.write( "Since the coefficient associated with the x^2 term is negative, we know that it is a parabola that opens downwards. Therefore, the vertex is the maximum.
\n" ); document.write( "The value of x of the vertex can be found by:
\n" ); document.write( "x = -b/(2a)
\n" ); document.write( "x = -1.4/(2*(-0.002))
\n" ); document.write( "x = 1.4/0.004
\n" ); document.write( "x = 350 pretzels\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );