The MHA Medical Center expects Project A and Project B to generate the following cash flows: Project A $($in thousands$)$ Year $012345$ Initial investment $($$$20,000)$ Net operating cash flows $($$$10,000)$ $$8,000$ $$12,000$ $$15,000$ $$26,000$ Project B $($in thousands$)$ Year $012345$ Initial investment $($$$28,000)$ Net operating cash flows $$8,000$ $$8,000$ $$8,000$ $$8,000$ $$8,0001.)$ Compute the payback for both projects. Show your calculation below: $2.)$ Compute the Net Present Value $($NPV$)$ manually $($i$.$e$.,$ do not use excel spread sheet$)$ for both projects at a cost of capital of $20\%.$ Show your calculation below: $($Hint: Use the Present Value Factors presented Zelman$$s textbook pp$\mathrm{.}297-298).3.)$ Based on the results from two different calculations above, which project do you prefer to implement? Explain.