Your firm has been hired to develop new software for the university's class registration system. Under the contract, you will receive $$504,000$ as an upfront payment.You expect the development costs to be $$457,000$ per year for the next $3$ years. Once the new system is in place, you will receive a final payment of $5907,000$ from the university $4$ years from now.a$.$ What are the IRRs of this opportunity? $($Hint: Build an Excel model which tests the NPV at $1\%$ intervals from $1\%$ to $40\%.$ Then zero in on the rates at which the NPV changes signs.$)$b$.$ If your cost of capital is $10\%,$ what is the NPV of the opportunity? Is it attractive?Suppose you are able to renegotiate the terms of the contract so that your final payment in year $4$ will be $$1\mathrm{.}3$ million.c$.$ What is the IRR of the opportunity now?d$.$ What is the NPV of the opportunity now? Is it attractive at the new terms?