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 60 80 100

The correct option is 2.

Step-by-step explanation:

The given function is

It can be written as

          .... (1)

It is a downward parabola because the leading coefficient is negative. The value of the parabola is maximum at its vertex.

If a parabola is define as

              .... (2)

then it is maximum at .

From (1) and (2), we get

The profit is maximum at

Therefore the profit is maximum when the number of purchase orders is 60. Option 2 is correct.

dalila is incorrect. the whisker on the left is very long, going all the way out to 5. the whisker goes from 5 to 30, so it has a spread of 25. the rest of the box plot values are closer together, so 5 is an outlier