Decision D$6,$ which has three possible choices $($X$,$ Y$,$ or Z$),$ must be made in year $3$ of a $6-$year study period in order to maximize E$($PW$).$ Using an MARR of $13\%$ per year, the investment required in year $3,$ and the estimated cash flows for years $4$ through $6,$ determine which decision should be made in year $3.$

The present worth of X is $ $\_\_\_\_\_\_\_$

The present worth of Y is $ $\_\_\_\_\_\_$

The present worth of Z is $ $\_\_\_\_\_\_$

Select decision branch $\backslash$table$[[\backslash$table$[[$Investment$,],[$Year $3]],$Cash Flow, $($Year $3),\backslash$table$[[$Cash Flow, $$1000],[$ Year $4)]],\backslash$table$[[$Cash Flow,$],[$ Year $5)]],\backslash$table$[[$Cash Flow, $$1000],[$ Year $6)]],\backslash$table$[[$Outcome$],[$Probability$]]],[,3,4,5,6,],[$High $(x),$$$-300,000,$$$50,$$$50,$$$50,0\mathrm{.}8],[$Low $(x),,$$$40,$$$30,$$$20,0\mathrm{.}2],[$High $(Y),$$$-65,000,$$$30,$$$40,$$$50,0\mathrm{.}45],[$Low $(Y),,$$$30,$$$30,$$$30,0\mathrm{.}55],[$High $(Z),$$$-240,000,$$$190,$$$170,$$$150,0\mathrm{.}7],[$Low $(Z),,$$$-30,$$$-30,$$$-30,0\mathrm{.}3]]($Click to select$)$