A construction company is working on a project and has identified the following risks and associated probabilities:

Risk 1: Delays due to inclement weather. Probability of occurrence is 30% with an associated cost impact of $50,000.
Risk 2: Shortage of materials due to supplier issues. Probability of occurrence is 20% with an associated cost impact of $100,000.
Risk 3: Accidents at the work site. Probability of occurrence is 10% with an associated cost impact of $200,000.
The company is considering taking out an insurance policy to cover the risks associated with the project. The insurance policy has an annual premium of $15,000, a deductible of $25,000, and will cover 100% of the costs associated with the risks.

a) What is the expected value of the total cost impact of the risks on the project?
b) What is the expected value of the company's total cost after purchasing the insurance policy?
c) What is the net expected value of purchasing the insurance policy?
d) Should the company purchase the insurance policy?

(Show all calculations and round your answers to the nearest dollar)