An engineer is working on a feasibility study for a groundwater pump$-$and treat system using activated carbon for treatment. The estimated costs are shown in the tables below. The life of the project is expected to last $20$ years at a $5\%$ interest rate. Calculate the total life cycle cost.

Capital cost item Cost $($$$)$

Engineering design $40,000$

Well drilling and installation $120,000$

Concrete pad construction $40,000$

Purchase and installation of GAC vessels $75,000$

Trenching and laying pipe $60,000$

Purchase and installation of control system $30,000$

Annual O&M item Cost $($$$/$year$)$

Electricity $4,000$

GAC replacement and disposal $50,000$

O&M labor, including data analysis and reporting $190,000$

Analytical samples $22,000$