A startup is considering developing a new software product that has an estimated $40\%$ chance of generating $$100,000$ in profits, a $30\%$ chance of generating $$50,000$ in profits, and a $30\%$ chance of generating $$10,000$ in profits. What is the expected value of developing this new software product?

Group of answer choices

$$42,000$

$$58,000$

$$34,000$

$$56,000$

$$68,000$