The Profit (P) in dollars for a company is modeled by the function
P(x) = -x2+ 6x, where x is the number of items
What value of x will maximize profits?

Question

The Profit (P) in dollars for a company is modeled by the function
P(x) = -x2+ 6x, where x is the number of items 
What value of x will maximize profits?

IceCreamisYummy · Answer

the -x/2 is supposed to say -1/2 idk why it showed up incorrectly

darkknight · Answer

the function is showing you profit, the function is concave down as denoted by a being a negative number, which is -1/2. Find the x coordinate of the vertex using -b/2a

IceCreamisYummy · Answer

P(x) = (-1/2) x^2+6x is supposed to be the equation

IceCreamisYummy · Answer

so is the answer 6?

snowflake0531 · Answer

so if the equation is $-\frac{1}{2}x^2+6x$ is the equation, you're trying to find the vertex... the easiest way would be to graph it 
(6,18) is vertex
So yeah, it's 6