Need some help on this word problem

Question

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.

 

A. The inequality in interval notation is _____
B.  The product will never break even.

Answer 1

The question is asking us to solve for x (number of units) where the product will at least break even.

 

"At least break even" means that the revenue is greater than or equal to the cost.

 

Therefore, the question is asking us to solve for x when:

 

R >= C

45x >= 20x + 550

25x >= 550

x >= 22

 

Therefore, the product will at least break even if 22 or more units are produced.