Question 582187
P= -5x^2 + 1000x + 5000

55000 = -5x^2 + 1000x + 5000

To use quadratic, we need the left side to be zero:

0 = -5x^2 + 1000x + 5000 - 55000


0 = -5x^2 + 1000x - 50000

Divide by -5:

0 = x^2 - 200x + 10000

factors into 0= (x-100)^2

x=100 computers

CHECK:

 P= -5x^2 + 1000x + 5000.

 P= -5(100)^2 + 1000(100) + 5000.

P = -50,000 + 100,000 + 50000

P = 55,000√