Answers:
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= -0.01(x-500)^2+4,489
y= 20x
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?
(-1,170, -23,400) and (170, 3,400).
The solution (-1170, -23,400) should be eliminated in the context of this situation.
The company will break even when its cost of making x purses equals its income for selling x purses. The company must make and sell 170 purses to break even.