You are analyzing two proposed capital unvestments with the following cash flows. The cost of capital is $10$ percent. Calculate the profitability index $($PI$)$ for each project. Project X year $0=-$$$20,000$ year $1=$$$12,630$ year $2=$$$5760$ year $3=$$$6160$ year $4=$$$2120.$ Project Y year $0=-$$$20,000$ year $1=$$$6770$ year $2=$$$6770$ year $3=$$$6770$ year $4=6770.$ Which project should be accepted if they are mutually exclusive? If they are mutually excludive you should invest in which one?