The owner of a company that supplies home heating oil would like to determine whether to offer a solar heating installation service to its customers. The owner of the company has determined that a startup cost of $$$$130$ comma $000$ would be$$ necessary, but a profit of $$$$1$ comma $500$ can be made on each solar heating system installed. The owner estimates the probability of various demand levels as shown on the right. Complete parts$($a$)$ through$($i$)$ below