Question

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.

Answer 1

Answer:

The  price is   x =  $2.779

Step-by-step explanation:

From the question we are told that

  The  revenue is  $y = - 20x^2 - 50 x + 200$

   The cost of production is  $y = 30 x - 10$

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

So

      $-20x^2 -50x + 200 = 30x-10$

=>   $20x^2 +20 -210 = 0$

Using the quadratic formula to solve this equation we have that

       x =  $2.779

     

Answer 2

Answer:

1.81 per widget

Step-by-step explanation:

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