The function f(x) = –2(x – 10)(x – 200) represents a company's monthly profit as a function of the number of items sold, x. what is the maximum monthly profit?

The maximum monthly profit is 18050.

Step-by-step explanation:

The given function is

             .... (1)

The vertex of a quadratic function  

         ..... (2)

is defend as

From (1) and (2) we get

Put x=105 in the given function.

Therefore the maximum monthly profit is 18050.

see below

step-by-step explanation:

x+2> 6

subtract 2 from each side

x+2-2 > 6-2

x > 4

there is an open circle at 4 since is it is greater than and the line goes to the right