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$2.(40$ pts$)$ The King Corporation has two alternative projects for producing and marketing video game. Project A requires an initial outlay of $$223,000$ and will generate annual cash flows of $$59,000$ for $20-$years. Project B requires an initial outlay of $$335,000,$ but will generate annual cash flows of $$75,000$ for $20$ years. It is estimated that both projects have no salvage value at the end of year $20.$ Firm's RRR is $10\%$ and the annual cash flows on both projects are already include depreciation and taxes each year. Using the given information, answer the following questions.

a$.$ Find the NPV of project A$.$

b$.$ Find the NPV of project B$.$

c$.$ What is the difference of two NPVs$?$

d$.$ If two projects have same NPV $($that is$,$ the difference of two NPVs is zero$),$ what is the Firm's RRR$?$ Copy and paste your whole answers from the sheet $"$P$2"$ to the sheet $"$P$2$d$"$ and work on the sheet $"$P$2$d$".$