City engineers are considering $2$ plans for city tunnels. The will decide between the $2$ alternatives using $8\%$ interest rate. Plan A is a full capacity tunnel that will meet the needs of city forever. Plan B involves building a half capacity tunnel now and a second half capacity tunnels in $20$ years, when the extra capacity will be needed. Table $2$ outlines the criteria and associated costs.

Table $2/$ Jadual $2\backslash$table$[[\backslash$table$[[$Criteria$],[$Kriteria$]],$Plan A$,$Plan B$],[\backslash$table$[[$Initial Construction Cost$],[$Kos Pembinaan Permulaan$]],$RM $3,000,000,\backslash$table$[[$RM $2,000,000$ now $+],[$RM $2,000,000$ in $20$ years$],[$for second tunnel$]]],[\backslash$table$[[$Maintenance Costs$],[($every $10$ years$)],[$Kos Penyelenggaraan$],[($setiap $10$ tahun$)]],$RM $100,000,$RM $80,000$ per tunnel$],[\backslash$table$[[$Additional Costs$],[$Kos$-$kos tambahan$]],$None,$\backslash$table$[[$RM $15,000$ per year per$],[$tunnel for extra pumping$]]],[\backslash$table$[[$Cost Timing$],[$Masa Kos$]],\backslash$table$[[$Initial cost $+$ every$],[10$ years for lining$],[$repairs$]],\backslash$table$[[$Initial cost for first tunnel,$],[$in $20$ years for second$],[$tunnel $+$ every $10$ years$],[$for maintenance $+$ annual$],[$for pumping$]]]]$

Your task is to calculate:

i$.$ Which alternative is preferred? Use a Present Worth comparison.

ii$.$ Which alternative is preferred? Use an Annual Worth comparison.