A company is considering investing in a new product line that has a potential profit of $5,000,000. However, there is a 30% chance that the product line will fail, resulting in a loss of $2,500,000. The company is risk-averse and wants to determine whether the potential profit is worth the risk.

Assuming that the probability of the product line's success follows a binomial distribution, what is the expected value and the standard deviation of the company's profit?

If the company requires a minimum expected profit of $2,500,000 and a minimum standard deviation of $1,000,000, should they invest in the product line?

Show all calculations and express your final answer in dollars. (20 marks)