document.write( "Question 1058413: Total profit P is the difference between total revenue R and total cost C. Given the following​ total-revenue and​ total-cost functions, find the total​ profit, the maximum value of the total​ profit, and the value of x at which it occurs.\r
\n" ); document.write( "\n" ); document.write( "R(x)= 1000x-(x squared)\r
\n" ); document.write( "\n" ); document.write( "C(x)= 3400+10x \n" ); document.write( "
Algebra.Com's Answer #673583 by ankor@dixie-net.com(22740)\"\" \"About 
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Total profit P is the difference between total revenue R and total cost C.
\n" ); document.write( " Given the following​ total-revenue and​ total-cost functions, find the total​ profit, the maximum value of the total​ profit, and the value of x at which it occurs.
\n" ); document.write( "R(x)= 1000x-x^2
\n" ); document.write( "C(x)= 3400+10x
\n" ); document.write( ":
\n" ); document.write( "Profit = Revenue - Cost
\n" ); document.write( "P(x) = (1000x - x^2) - (3400+ 10x)
\n" ); document.write( "remove brackets
\n" ); document.write( "P(x) = 1000x - x^2 - 3400 - 10x
\n" ); document.write( "combine like terms
\n" ); document.write( "P(x) = -x^2 + 1000x - 10x - 3400
\n" ); document.write( "A quadratic equation
\n" ); document.write( "P(x) = -x^2 + 990x - 3400
\n" ); document.write( "Max profit occurs on the axis of symmetry, x = -b/(2a)
\n" ); document.write( "x = \"%28-990%29%2F%282%2A-1%29\"
\n" ); document.write( "x = 495 units will produce max profit
\n" ); document.write( "Find that actual profit
\n" ); document.write( "P(x) = -(495^2) + 990(495) - 3400
\n" ); document.write( "P(x) = -245025 + 490050 - 3400
\n" ); document.write( "P(x) = $241,625 value of the total profit\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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