The cost to produce x units of coffee cups is C = 50x + 5000 , while the revenue is R = 60x
. Find the interval where the company will at least break even. Show all work to justify your answer.

x = 500

Step-by-step explanation:

The break-even point in economics, is the point at which total cost and total revenue are equal.

Therefore,

R = C

60x = 50x + 5000

60x - 50x = 5000

10x = 5000

x = 5000/10

x = 500

With algebraic expressions, you can’t add and subtract any terms like you can add and subtract numbers. Terms must be like terms in order to combine them. So, you can’t always simplify an algebraic expression by following the order of operations. You have to use the distributive property to rewrite the expression and then combine like terms to simplify. With numeric expressions, you can either simplify inside the parentheses first or use the distributive property first.