The first equation in the following system gives the company's cost of making x purses. The second equation gives the company's income for selling x purses.

y = negative 0.01 (x minus 500) squared + 4,489. y = 20 x

You used substitution to obtain the equation

0 = -0.01x2-10x+1,989 from the system.

What are the solutions to the system of equations?

(-23,400, 3,400) and (-1,170,170)

(-1,170, -23,400) and (170, 3,400)

(274, 726) and (5,480, 14,520)

(274, 5,480) and (726, 14,520)