What is the answer

Question

Alex is selling jewelry. The function R(x)=70xR(x)=70x represents her revenue from selling xx pieces of jewelry. The function C(x)=30x+1,000C(x)=30x+1,000 represents total cost of making x pieces of jewelry. Alex's total profit can be presented by the function P(x)=R(x)−C(x)P(x)=R(x)−C(x). 

How many pieces of jewelry should Alex sell in order to break even?

Answer 1

Break-even means that the revenue and the cost equal to each other. In other words, the profit is 0.

P(x) = R(x) - C(x) = 0

70x = 30x + 1000

then

40x = 1000

x = 25

Alex needs to sell 25 pieces of jewelry to break even.