A manufacture finds the total cost “C” for a product is expressed by C=3x2-8, and the total revenue

Question

“R” by R=3x-2, where x is the number of units sold. What is the breakeven point (where total
cost=total revenue) to the nearest unit?

Answer 1

3x^2 - 8 = 3x - 2
3x^2 - 3x - 6 = 0
x^2 - x - 2 = 0
(x-2)(x+1) = 0
x = 2 or x = -1, but you can't make negative units, so

x = 2