Frank Dewey Esquire from the firm of Dewey, Cheatum, and Howe, has been offered an upfront retainer of $$30,000$ to provide legal services over the next $12$ months to Taggart Transcontinental $.$ In return for this upfront payment, Taggart Transcontinental would have access to $8$ hours of legal services from Frank for each of the next $12$ months. Frank's normal billable rate is $$250$ per hour for legal services. a$)$ Assuming that Dewey's cost of capital is $12\%$ EAR, what is the NPV of his retainer offer? b$)$ Assuming that Dewey's cost of capital is $12\%$ EAR, what is the IRR$($s$)$ for this problem?