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

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step-by-step explanation: this is a answer

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