A manufacturer has determined that if it sets the price of paper at x dollars per ream, then its monthly profit can be represented by the equation P = (6000 - 400x)(x - 2).

Question

Determine the y-intercept - I multiplied it out and found that the y-intercept was (0, -12,000)

Then it says: Determine the x-intercepts and explain what they mean. I have the answers and they say the x-intercepts are (2,0) and (15,0) I understand the (2,0) from the (x - 2), however, where did the (15,0) come from? This I do not understand.

Thanks for your help.

Answer 1

The y intercept is where x = 0
so -12,000 is correct

The x axis intercepts are when y, the profit, = 0

that is when x = 2 and z = 15 correct
the 15 is from
6000 - 400 x = 0
x = 60/4
x = 15

Answer 2

Thank you!!