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.

x = -2

y = 848

step-by-step explanation:

plug in the numbers