A construction company is planning a new project that has an estimated budget of $50 million. The project duration is two years, and the company wants to manage the risk associated with the budget and the schedule of the project. The company estimates that there is a 20% probability that the project cost will exceed the budget by 10%, and a 30% probability that the project will be delayed by six months. The company is considering two risk management options: (1) buy insurance coverage to manage the budget risk and (2) invest in a scheduling software to manage the schedule risk. The insurance coverage will cost $500,000 per year and will cover the entire amount of the budget overrun. The scheduling software will cost $1 million and will reduce the probability of project delay to 10%. Assuming that the company is risk-neutral and only interested in minimizing expected costs, which option should the company choose? Show all the calculations and assumptions.