The cost to produce x units of wire is C = 20x + 550, while the revenue is R = 45x. Find all intervals where the product will at least break even.

Question

Algebra II question

Answer 1

In order for the product to at least break even, the revenue must be equal to or exceed the cost. To solve for this interval we set R>=C. So, 

45x>=20x+550. Once we solve this equation we get x>=22 so the interval where the product will at least break even is [22,infinity).