Zinc Solution Co$.$is considering two mutually exclusive projects, A and B$.$ Project A costs $$95,000$ and is expected to generate $$65,000$ in year one and $$65,000$ in year two. Project B costs $$120,000$ and is expected to generate $$64,000$ in year one, $$65,000$ in year two, $$56,000$ in year three, and $$40,000$ in year four. Zinc Solution's required rate of return for these projects is $10\%.$

a$.$ What is the internal rate of return of the project B$?$

b$.$ What is the modified internal rate of return for Project A$?$

c$.$ Calculate the net present value of both projects? Which one$($s$)$ should be accepted?