$(30$ points$).$ A project has the following cash flows:

Year Cash Flows, in $

a$.$ Calculate the NPV if the appropriate required rate of return is $11\%.$ Write down the

NPV equation with numerical inputs. $(14$ points$)$

b$.$ Write down the IRR equation with numerical inputs. $(10$ points$)$

c$.$ Should the project be accepted? $(6$ points$)$