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 company's maximum monthly profit is $18050

Step-by-step explanation:

First we need to distribute everything in order to solve for the maximum

Now we can use the equation in order to find the x-value of the maximum

From our function, we know that a=-2 and b=420

We can plug in these values and solve for x to get

Now we can plug our x-value into our function in order to find the maximum monthly profit

a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58