Consider two air$-$conditioning systems with the cash flow estimates as given below. Use AW analysis to determine the sensitivity of the economic decision to MARR values of $4\%,6\%,$ and $8\%$ per year.

System Air$-$Conditioning System $1$ Air$-$Conditioning System $2$

First cost, $ $12,00016,000$

AOC, $ per year $700175$

Salvage value, $ $100300$

New compressor and motor cost at midlife, $ $2,0503,420$

Life, years $812$

The annual worth of air$-$conditioning system $1$ when the MARR is $4\%$ is $ $\_\_\_\_\_.$

The annual worth of air$-$conditioning system $2$ when the MARR is $4\%$ is $ $\_\_\_\_\_.$

The annual worth of air$-$conditioning system $1$ when the MARR is $6\%$ is $ $\_\_\_\_\_\_.$

The annual worth of air$-$conditioning system $2$ when the MARR is $6\%$ is $ $\_\_\_\_\_\_\_.$

The annual worth of air$-$conditioning system $1$ when the MARR is $8\%$ is $ $\_\_\_\_\_\_\_.$

The annual worth of air$-$conditioning system $2$ when the MARR is $8\%$ is $ $\_\_\_\_\_\_\_\_.$