The revenue for a company producing widgets is given by y = -20x2 - 50x + 200, where x is the price in dollars for each widget. The cost for the production is given by y = 30x - 10. Determine the price that will allow the production of widget to break even.

The  price is   x =  $2.779

Step-by-step explanation:

From the question we are told that

  The  revenue is  

   The cost of production is  

Generally at break even point the cost of production is equal to the  revenue

So

=>  

Using the quadratic formula to solve this equation we have that

       x =  $2.779

1.81 per widget

Step-by-step explanation:

If you put in the equations in Desmos, you can see where is breaks even

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.

answer: -2+√x,-2-√x

i hope this , i don't know if you're looking for a pair or not.