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

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11