The function f (x) = - (x - 20) (x - 100) represents a company's monthly profit as a function of x, the number of purchase

orders received. Which number of purchase orders will generate the greatest profit?

20

O 60

O 80

O 100

The correct option is B

Step-by-step explanation:

Lets put the values in the given function one by one: You will get the answer

f (x) = - (x - 20) (x - 100)

The first option is 20. Substitute the value in the function:

f (x) = - (20-20) (20-100)

f (x) = ( - 0) (-80)

f (x) = 0

Second option is 60.

Substitute the value in the function

f (x) = - (x - 20) (x - 100)

f (x) = - (60 - 20) (60 - 100)

f (x) = (-40) (-40)

f (x) = 160

Third option is 80:

Substitute the value in the function

f (x) = - (x - 20) (x - 100)

f (x) = - (80 - 20) (80 - 100)

f (x) = (-60) (-20)

f (x) = 120

Fourth option is 100:

Substitute the value in the function

f (x) = - (x - 20) (x - 100)

f (x) = - (100 - 20) (100 - 100)

f (x) = (-80) (0)

f (x) = 0

Therefore the values we got are 0, 160, 120, 0

The greatest value is 160.

Thus the correct option is B ...